Advanced topics in nonlinear control systems
By: editors, T.P. Leung, H.S. Qin.
Contributors: Leung, T. P.; Qin, H. S.
Series: World Scientific series on nonlinear science.; vol. 40.
Publisher: World Scientific
Published: 2001
Place of publication: Singapore; River Edge, NJ
Language: eng
Number of pages: 245
Subjects: Automatic control.; Nonlinear control theory.
Notes: Includes bibliographical references.
Table of contents: title: Machine generated contents note: CHAPTER 1 GENERALIZED HAMILTONIAN SYSTEMS; title: D. Cheng; title: 1.1 Introduction; title: 1.2 From Newton's second law to Hamiltonian equation; title: 1.3 Symplectic manifold and Poisson manifold; title: 1.4 Pseudo-Hamiltonian systems and controlled; title: pseudo-Hamiltonian systems; title: 1.5 Pseudo-Poisson manifold; title: 1.6 Integrability; title: 1.7 co-manifold; title: 1.8 Structure group and its algebra; title: 1.9 Spectrum; title: 1.10 Structure invariance; title: 1.11 Stabilization of excitation control; title: 1.12 Stabilization and Ho control for dissipative; title: Hamiltonian systems; title: 1.13 Summary; title: CHAPTER 2 CONTINUOUS FINITE-TIME CONTROL; title: T. P. Leung and Y. Hong; title: 2.1 Introduction; title: 2.2 Classes of finite-time feedback; title: 2.3 Preliminary results; title: 2.4 Finite-time state feedback; title: 2.5 Finite-time observer; title: 2.6 Output feedback; title: 2.7 Convergent rate; title: 2.8 Applications in robot control; title: 2.9 Robust issues; title: 2.10 Conclusions; title: CHAPTER 3 LOCAL STABILIZATION OF NONLINEAR SYSTEMS; title: BY DYNAMIC OUTPUT FEEDBACK; title: P. Chen and H. Qin; title: 3.1 Introduction; title: 3.2 Preliminaries; title: 3.3 Stabilization of observable systems; title: 3.4 Stabilization of partially linear composite system; title: 3.5 Stabilization of a special class of systems; title: CHAPTER 4 HYBRID CONTROL FOR GLOBAL STABILIZATION; title: OF A CLASS OF SYSTEMS; title: J. Zhao; title: 4.1 Introduction; title: 4.2 Hybrid systems and hybrid control; title: 4.2.1 Hybrid systems; title: 4.2.2 Hybrid control; title: 4.2.3 Switched systems; title: 4.3 Quadratic stability of homogeneous switched systems; title: 4.3.1 Completeness; title: 4.3.2 Quadratic stability; title: 4.4 A hybrid controller for the cart-pendulum system; title: 4.4.1 Background and problem statement; title: 4.4.2 Hybrid controller; title: 4.4.3 Stability analysis; title: 4.4.4 A modified algorithm; title: 4.5 Concluding remarks; title: CHAPTER 5 ROBUST AND ADAPTIVE CONTROL OF; title: NONHOLONOMIC MECHANICAL SYSTEMS WITH; title: APPLICATIONS TO MOBILE ROBOTS; title: Y. M. Hu and W. Huo; title: 5.1 Introduction; title: 5.2 Dynamic model of nonholonomic mechanical systems; title: 5.3 Robust control design based on SMC; title: 5.3.1 SMC based on high-order sliding mode; title: 5.3.2 Dynamic SMC based on high-order sliding mode; title: 5.3.3 Robustness design in the presence of uncertainties; title: 5.4 Applications to the nonholonomic mobile robots; title: 5.4.1 Design of dynamic sliding mode controller for the; title: output tracking ofnonholonomic mobile robot; title: 5.4.2 Design of adaptive sliding mode controller for the; title: output tracking ofnonholonomic mobile robot; title: 5.4.3 On-line implementations; title: 5.5 Conclusions; title: CHAPTER 6 INTRODUCTION TO CHAOS CONTROL AND; title: ANTI-CONTROL; title: G. Chen, J.-Q. Fang, Y. Hong and H.-S. Qin; title: 6.1 Overview of chaos, chaos control and anticontrol; title: 6.1.1 A brief description of chaos, chaos control; title: and anticontrol; title: 6.1.2 Some basic rationale for utilizing chaos; title: and complex nonlinear dynamics; title: 6.1.3 A brief summary; title: 6.2 Challenges in chaos control; title: 6.2.1 Chaos control: what does it mean?; title: 6.2.2 Challenges in chaos control; title: 6.2.3 Some distinct features of chaos control; title: 6.3 Representative chaos control methods; title: 6.3.1 The OGY parametric-variation control method; title: 6.3.2 Feedback control of nonlinear systems; title: 6.3.3 On time-delayed feedback control; title: 6.4 Anticontrol of chaos: chaotification; title: 6.4.1 Introduction; title: 6.4.2 Problem description and the anticontrol algorithm; title: 6.4.3 Verification of the anticontrol algorithm; title: 6.4.4 External noise control and anticontrol of chaos; title: 6.5 Some concluding remarks.