Truncated Predictor Feedback for Time-Delay Systems [electronic resource] /
Zhou, Bin.author.
This book provides a systematic approach to the design of predictor based controllers for (time-varying) linear systems with either (time-varying) input or state delays. Differently from those traditional predictor based controllers, which are infinite-dimensional static feedback laws and may cause difficulties in their practical implementation, this book develops a truncated predictor feedback (TPF) which involves only finite dimensional static state feedback. Features and topics: A novel approach referred to as truncated predictor feedback for the stabilization of (time-varying) time-delay systems in both the continuous-time setting and the discrete-time setting is built systematically Semi-global and global stabilization problems of linear time-delay systems subject to either magnitude saturation or energy constraints are solved in a systematic manner Both stabilization of a single system and consensus of a group of systems (multi-agent systems) are treated in a unified manner by applying the truncated predictor feedback and predictor feedback The properties of the solutions to a class of parametric (differential and difference) Lyapunov matrix equations are presented in detail Detailed numerical examples and applications to the spacecraft rendezvous and formation flying problems are provided to demonstrate the usefulness of the presented theoretical results This book can be a useful resource for the researchers, engineers, and graduate students in the fields of control, applied mathematics, mechanical engineering, electrical engineering, and aerospace engineering.
Description based upon print version of record.
Includes bibliographical references and index.
Introduction -- Stabilization of Linear Systems with A Single Input Delay -- Stabilization of Linear Systems with Multiple and Distributed Input Delays -- Stabilization of Linear Systems with Both State and Input Delays -- Stabilization of Linear Systems with Input and Output Delays -- Global Stabilization of Planar Systems with Input Delay and Saturation -- Stabilization of Linear Time-Delay Systems by Higher-Order TPF -- Stabilization of Discrete-Time Systems with Input Delays -- Stabilization of Discrete-Time Systems with Input and Output Delays -- Consensus of Multi-Agent Systems with Large Input and Communication Delays -- Applications of the Truncated Predictor Feedback to the Spacecraft Rendezvous and Formation Flying -- A Parametric Lyapunov Equations -- B Stability Theorems for Time-Delay Systems -- C Some Technical Lemmas -- Index.
This book provides a systematic approach to the design of predictor based controllers for (time-varying) linear systems with either (time-varying) input or state delays. Differently from those traditional predictor based controllers, which are infinite-dimensional static feedback laws and may cause difficulties in their practical implementation, this book develops a truncated predictor feedback (TPF) which involves only finite dimensional static state feedback. Features and topics: A novel approach referred to as truncated predictor feedback for the stabilization of (time-varying) time-delay systems in both the continuous-time setting and the discrete-time setting is built systematically Semi-global and global stabilization problems of linear time-delay systems subject to either magnitude saturation or energy constraints are solved in a systematic manner Both stabilization of a single system and consensus of a group of systems (multi-agent systems) are treated in a unified manner by applying the truncated predictor feedback and predictor feedback The properties of the solutions to a class of parametric (differential and difference) Lyapunov matrix equations are presented in detail Detailed numerical examples and applications to the spacecraft rendezvous and formation flying problems are provided to demonstrate the usefulness of the presented theoretical results This book can be a useful resource for the researchers, engineers, and graduate students in the fields of control, applied mathematics, mechanical engineering, electrical engineering, and aerospace engineering.
Control engineering.
Vibration.
Dynamical systems.
Dynamics.
System theory.
Electronic circuits.
Control and Systems Theory.
Vibration, Dynamical Systems, Control.
Systems Theory, Control.
Complex Systems.
Circuits and Systems.