Stability and Stabilization of Linear and Fuzzy Time-Delay Systems
A Linear Matrix Inequality Approach
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Beschreibung
This book provides a clear understanding in formulating stability analysis and state feedback control of retarded time delay systems using Lyapunov’s second method in an LMI framework. The chapters offer a clear overview of the evolution of stability analysis in terms of the construction of a Lyapunov functional and use of the integral inequalities in order to reduce the gap of delay upper bound estimate compared to frequency domain method through existing and proposed stability theorems. Power system engineering problem has been presented here to give readers fair idea on applicability of the model and method for solving engineering problems. Without deviating from the framework of analysis more complex dynamics of the system have been dealt with here that includes actuator saturation and thereby ascertaining local stability for an estimated time-delay and domain of attraction. Nonlinearity in a time-delay system has been dealt with in the T-S fuzzy modeling approach.
This book is useful as a textbook for Master’s students and advanced researcher working in the field of control system engineering, and for practicing engineers dealing with such complex dynamical systems. The strengths of the book are lucidity of presentation, lucidity of solution method, MATLAB programs given in the appendix that help the novice researcher to carry out research in this area independently, clear idea about the formulation of desired stability and control problem in a LMI framework, application problem provided can motivate students and researcher to recast their problems in the similar framework easily, helpful for readers to use the stability (stabilization) conditions or formulate their own stability conditions easily for a complicated linear or nonlinear dynamical system.
Presents some basic theories of stability and stabilization of linear systems with time-delay
Discusses the problem of stability analysis and controller synthesis of linear time-delay system based on Lyapunov-Krasovskii (LK) functional approach in a linear matrix inequality (LMI) frame work as in recent year’s efficient software has become available for finding the optimal value of delays
Presents the use of a LMI control tool box for getting the solution for the estimation of time-delay
The solution of every theorem is provided with the MATLAB code for the ease of beginners in this field of research
Presents some basic theories of stability and stabilization of linear systems with time-delay Discusses the problem of stability analysis and controller synthesis of linear time-delay systems based on a Lyapunov–Krasovskii (LK) functional approach in a linear matrix inequality (LMI) framework, as in recent years efficient software has become available for finding the optimal value of delays Demonstrates how an LMI control toolbox can be used to arrive at a solution for the estimation of time-delay Provides the solution of every theorem with the MATLAB code to help beginners in this field of research Includes supplementary material: sn.pub/extras
Autor*in
Rajeeb Dey
Themen in »Stability and Stabilization of Linear and Fuzzy Time-Delay Systems«
Actuator Saturation Delay-dependent Criteria Domain of Attraction Fuzzy T-S Model H-infinity Control Intelligent Systems Linear Matrix Inequality (LMI) Lyapunov-Krasovskii Functional Stability and Stabilization Time-delay Systems Uncertain Systems