dissipativity based filtering for fuzzy switched systems with stochastic perturbation in this technical note the problem of the dissipativity based filtering problem is considered for a class of t s fuzzy switched systems with stochastic perturbation firstly a sufficient condition of strict dissipativity performance is given to guarantee the mean square exponential stability for the concerned t s fuzzy switched system then our attention is focused on the design of a filter to the t s fuzzy switched system with brownian motion by combining the average dwell time technique with the piecewise lyapunov function technique the desired fuzzy filters are designed that guarantee the filter error dynamic system to be mean square exponential stable with a strictly dissipative performance and the corresponding solvability condition for the fuzzy filter is also presented based on the linearization procedure approach finally an example is provided to illustrate the effectiveness of the proposed dissipativity based filter technique

stability and stabilization of t s fuzzy systems with time varying delays via augmented lyapunov krasovskii functionals this paper is concerned with the problem of stability and stabilization for takagi sugeno t s fuzzy systems with time varying delays by constructing a suitable lyapunov krasovskii functional sufficient conditions for ensuring the asymptotic stability and stabilization of the concerned fuzzy systems have been derived within the framework of linear matrix inequalities lmis the advantage and effectiveness of the proposed criteria will be shown through the comparison of maximum delay bounds with some results obtained by recently published papers via four numerical examples

dwell time based observer design for unknown input switched linear systems without requiring strong detectability of subsystems this paper investigates the state observer design of a class of unknown input switched linear systems via mode dependent dwell time switchings the distinguishing feature of the proposed method is that strong detectability condition of subsystems of the switched systems is unnecessarily required first a time varying coordinate transformation is introduced to design a suitable reduced order observer for each subsystem then computable sufficient conditions on the synthesis of the observers are proposed in the framework of a mode dependent dwell time technique since the observer of an individual subsystem cannot be designed due to unavailability of strong detectability condition of the subsystem the state of the switched system is estimated under the condition of confining the dwell time by a pair of upper and lower bounds restricting the growth of the lyapunov function of the active subsystem and forcing energy of the overall switched system to decrease at switching instants finally an example is presented to demonstrate the effectiveness of the proposed method

fuzzy model based admissibility analysis and output feedback control for nonlinear discrete time systems with time varying delay abstract this paper is concerned with the admissibility analysis and stabilization problems for singular fuzzy discrete time systems with time varying delay the novelty of this paper comes from the consideration of a new summation inequality which is less conservative than the usual jensen inequality the abel lemma based inequality and the seuret inequality based on the inequality sufficient conditions are established to ensure the systems to be admissible moreover the corresponding conditions for the existence of desired static output feedback controller gains are derived to guarantee that the closed loop system is admissible the conditions can be solved by a modified cone complementarity linearization ccl algorithm examples are given to show the effectiveness of the proposed method

mathcal l _ 2 mathcal l _ infty output feedback controller design for fuzzy systems over switching parameters this paper focuses on the problem of mathcal l 2 mathcal l infty dynamic output feedback controller dofc design for nonlinear switched systems with nonlinear perturbations in the takagi sugeno fuzzy framework first the average dwell time approach is used to stabilize a nonlinear switched system exponentially under an arbitrary switching law then based on the technique of piecewise lyapunov functions a fuzzy rule dependent dofc is designed to ensure that the overall closed loop system is exponentially stable with a weighted mathcal l 2 mathcal l infty performance level left gamma alpha right the solvability condition for the desired dofc is derived using a linearization technique it is shown that the controller parameters can be obtained as solutions to a set of strict linear matrix inequalities that are numerically solvable with available standard software finally two simulation examples illustrate effectiveness of the developed technique including cognitive radio systems

resilient dissipative based controller for stochastic systems with randomly occurring gain fluctuations abstract this paper addresses the dissipativity based resilient sampled data control problem for a class of stochastic systems with actuator failures in particular the controller is assumed to posses probabilistic actuator faults with different failure rates moreover the controller gain fluctuation appears in a random way which obeys certain bernoulli distributed white noise sequences a new set of sufficient conditions is obtained in terms of linear matrix inequalities for the derivation of resilient dissipative sampled data controller by constructing an appropriate lyapunov krasovskii functional together with free weighting matrix technique simulation studies are performed to verify the performance and effectiveness of the proposed control design technique

stability and stabilization of periodic piecewise linear systems a matrix polynomial approach abstract in this paper new conditions of stability and stabilization are proposed for periodic piecewise linear systems a continuous lyapunov function is constructed with a time dependent homogeneous lyapunov matrix polynomial the exponential stability problem is studied first using square matricial representation and sum of squares form of homogeneous matrix polynomial constraints on the exponential order of each subsystem used in previous work are relaxed state feedback controllers with time varying polynomial controller gain are designed to stabilize an unstable periodic piecewise system the proposed stabilizing controller can be solved directly and effectively which is applicable to more general situations than those previously covered numerical examples are given to illustrate the effectiveness of the proposed method

further studies on h observer design for continuous time takagi sugeno fuzzy model abstract this brief paper is concerned with the problem of observer based h control for nonlinear systems presented by t s takagi sugeno fuzzy models the aim is to reduce the conservatism of finding a smaller h performance index by applying the non quadratic lyapunov function the one step lmis linear matrix inequalities method is applied to design the controller gains and observer gains in addition the initial positions of the observer states are also discussed and an optimization problem is solved to obtain new stable region in the end three examples are given to demonstrate the effectiveness of the proposed approach

output regulation of polynomial fuzzy model based control systems this paper investigates the output regulation problem of polynomial fuzzy model based pfmb control systems with the consideration of system stability and control synthesis using the sum of squares sos based approach a pfmb control system is formed by a polynomial fuzzy model and a polynomial fuzzy controller with integral action connected in a closed loop three cases of pfmb control systems regarding the premise membership functions and number of fuzzy rules which have their own properties and advantages are considered the stability of the pfmb control systems is investigated based on the lyapunov stability theory with consideration of the information of membership functions sos based stability conditions corresponding to each case are obtained to guarantee system stability and to realize output regulation simulation examples are given to compare the three cases and illustrate the effectiveness of the proposed approach

adaptive neural control for a class of stochastic nonlinear systems by backstepping approach this paper addresses adaptive neural control for a class of stochastic nonlinear systems which are not in strict feedback form based on the structural characteristics of radial basis function rbf neural networks nns a backstepping design approach is extended from stochastic strict feedback systems to a class of more general stochastic nonlinear systems in the control design procedure rbf nns are used to approximate unknown nonlinear functions and the backstepping technique is utilized to construct the desired controller the proposed adaptive neural controller guarantees that all the closed loop signals are bounded and the tracking error converges to a sufficiently small neighborhood of the origin two simulation examples are used to illustrate the effectiveness of the proposed approach

asynchronous filtering for discrete time switched t s fuzzy systems in this paper asynchronous mathcal h infty filtering is studied for discrete time switched takagi sugeno t s fuzzy systems new lyapunov functions are constructed for switched systems with asynchronous switching between subsystems and candidate filters these improved lyapunov functions are dependent on the mode of filters instead of subsystems which are more consistent with the switching mechanism of switched systems with asynchronous switching meanwhile they are quasi time dependent which are effective in achieving more general results than traditional time independent lyapunov functions based on the new lyapunov functions a stability and ell 2 gain criterion is deduced for switched t s fuzzy systems then switched fuzzy filters are designed to guarantee that the filtering error system is globally uniformly asymptotically stable and has a prescribed mathcal h infty performance at last an illustrative example is provided to demonstrate the potentials and advantages of the proposed filtering scheme

fuzzy model based sampled data control of chaotic systems a fuzzy time dependent lyapunov krasovskii functional approach this paper addresses the sampled data stabilization problem for chaotic systems represented by takagi sugeno t s fuzzy models if the upper bounds for the time derivative of membership functions are available combining the fuzzy blending for some quadratic functions together with the introduction of some new useful terms a novel fuzzy time dependent lyapunov krasovskii functional lkf is proposed to fully capture the available characteristics of the actual sampling pattern and membership functions simultaneously based on the proposed lkf a new criterion dependent on the upper bounds for the time derivative of membership functions is presented to guarantee the asymptotic stability of the whole closed loop system moreover a stability criterion independent of the upper bounds is also provided based on the corresponding common time dependent lkf then the designed fuzzy sampled data controller can be synthesized by analyzing the corresponding stabilization conditions moreover a search algorithm is provided to find the optimal tuning parameters finally one practical example of the lorenz system is given to illustrate that much less conservativeness can be achieved compared with the earlier results by using the corresponding common lkf and the results can be further improved when adopting the fuzzy time dependent lkf within large upper bounds

on designing of sliding mode control for stochastic jump systems in this note we consider the problems of stochastic stability and sliding mode control for a class of linear continuous time systems with stochastic jumps in which the jumping parameters are modeled as a continuous time discrete state homogeneous markov process with right continuous trajectories taking values in a finite set by using linear matrix inequalities lmis approach sufficient conditions are proposed to guarantee the stochastic stability of the underlying system then a reaching motion controller is designed such that the resulting closed loop system can be driven onto the desired sliding surface in a limited time it has been shown that the sliding mode control problem for the markovian jump systems is solvable if a set of coupled lmis have solutions a numerical example is given to show the potential of the proposed techniques

a novel approach to stability and stabilization of fuzzy sampled data markovian chaotic systems abstract this paper studies the problems of stability and stabilization of a class of markovian chaotic systems via fuzzy sampled data control different from some existing results the markovian jumping with general uncertain transition rates is considered for such systems a novel approach i e input delay dependent vector approach is proposed for the first time based on this approach an input delay dependent lyapunov krasovskii functional lkf with cubic function of input delay is successfully constructed and the convex combination technique is used with ease to derive stability and stabilization criteria compared with some existing stability and stabilization criteria for chaotic systems our results are not only less conservative but also with reduced calculation complexity finally the superiorities of proposed results are illustrated by two numerical examples

dissipativity based sliding mode control of switched stochastic systems this technical brief is concerned with dissipativity analysis and dissipativity based sliding mode control smc of continuous time switched stochastic systems firstly a sufficient condition is proposed to guarantee the mean square exponential stability and strict dissipativity for the switched stochastic system then an integral type sliding surface function is designed for establishing a sliding mode dynamics which can be formulated by a switched stochastic system with an external disturbance uncertainty dissipativity analysis and synthesis are both investigated for the sliding mode dynamics and consequently sufficient conditions are derived which pave the way for solving the dissipativity analysis and control problems moreover a smc law is synthesized to drive the system trajectories onto the predefined sliding surface in a finite time finally the efficiency of the theoretical findings is demonstrated by an illustrative example

l2 l filtering of discrete time switched systems via admissible edge dependent switching signals abstract the problems of stability and l 2 l filtering are studied in this paper for a class of discrete time switched systems a novel admissible edge dependent average dwell time switching is proposed on the basis of the directed graph a condition ensuring the global uniform exponential stability of discrete time switched systems is established a new inequality that depicted the relation between lyapunov like function and disturbances is presented to guarantee the l 2 l performance combined with the multiple lyapunov like function technology the filtering error system is proved to be globally uniformly exponentially stable with l 2 l performance and the corresponding filter can also be obtained finally three numerical examples are illustrated to show the effectiveness of the proposed results

robust adaptive fuzzy control of a class of uncertain switched nonlinear systems with mismatched uncertainties this paper studies the adaptive fuzzy control problem for a class of uncertain switched nonlinear systems with mismatched uncerta inties and external disturbances a new switched adaptive control technique for the problem studied is set up such that the considered switched systems can be stabilized under a class of switching signals characterized by the generalized average dwell time condition first the adaptive state feedback controller is designed based on tuning the estimations of the bounds on switching parameters instead of estimating the switching parameters directly next by using a switched observer to reconstruct the states of the system an output feedback controller is also presented in the design procedure fuzzy logic systems are used to approximate the unknown nonlinear functions to overcome the undesirable chattering phenomenon both control laws are developed using the continuous control strategy it is shown that both controllers can guarantee that all the signals in the resulting closed loop system are bounded finally two simulation examples are presented to demonstrate the effectiveness of the proposed control results

brief paper weighted h model reduction for linear switched systems with time varying delay this paper is concerned with model reduction for continuous time linear switched systems with time varying delay for a given stable switched system our attention is focused on construction of a reduced order model such that the error system is exponentially stable with a prescribed weighted performance by applying the average dwell time approach and the piecewise lyapunov function technique delay dependent deley independent sufficient conditions are proposed in terms of linear matrix inequality lmi to guarantee the exponential stability and the weighted performance for the error system the model reduction problem is solved by using the projection approach which casts the model reduction problem into a sequential minimization problem subject to lmi constraints by employing the cone complementary linearization algorithm a numerical example is provided to illustrate the effectiveness of the proposed theory

stability analysis of genetic regulatory networks with switching parameters and time delays this paper is concerned with the exponential stability analysis of genetic regulatory networks grns with switching parameters and time delays in this paper a new integral inequality and an improved reciprocally convex combination inequality are considered by using the average dwell time approach together with a novel lyapunov krasovskii functional we derived some conditions to ensure the switched grns with switching parameters and time delays are exponentially stable finally we give two numerical examples to clarify that our derived results are effective

dissipativity based repetitive control for switched stochastic dynamical systems this paper addresses the issues of dissipativity analysis and repetitive control synthesis for a class of switched stochastic dynamical systems with time varying delay by using the lifting technique the considered one dimensional model is converted into a continuous discrete stochastic two dimensional delayed model to describe the control and learning actions of the repetitive controller by employing stochastic system theory together with lyapunov function technique a new set of sufficient conditions in terms of linear matrix inequalities lmis is established such that the switched stochastic system in two dimensional delayed model is mean square asymptotically stable and q s r dissipative then the desired repetitive controller is designed by solving a convex optimization problem established in terms of lmis more precisely repetitive controllers with h passivity and mixed h and passivity performances can be obtained as the special cases for the considered system finally numerical examples are provided to demonstrate the effectiveness and potential of the developed design technique

generalized h2 fault detection for two dimensional markovian jump systems this paper is concerned with the generalized h 2 fault detection for two dimensional 2 d discrete time markovian jump systems the mathematical model of the 2 d system is established upon the well known roesser model and the measurement missing phenomenon which appears typically in a network environment is modeled by a stochastic variable satisfying the bernoulli random binary distribution in addition the transition probabilities of the markovian jump process are assumed to be partly accessed that is the transition probabilities are partly known our attention is focused on the design of a fault detection filter or a residual generation system which guarantees the fault detection system to be mean square asymptotically stable and to have a prescribed generalized h 2 performance sufficient conditions for the existence of a desired fault detection filter are established in terms of linear matrix inequalities lmis a numerical example is provided to illustrate the effectiveness of the proposed design method

adaptive tracking control for a class of stochastic switched systems the problem of adaptive tracking is considered for a class of stochastic switched systems in this paper as preliminaries the criterion of global asymptotical practical stability in probability i