NDLI: Stability and H∞ control of discrete-time switched systems via one-step ahead Lyapunov function approach

Content Provider	IET Digital Library
Author	Wen, Jiwei Nguang, Sing Kiong Shi, Peng Zhao, Xudong
Abstract	This study concerns the problems of stability and H ∞ control for a class of discrete-time switched systems by introducing a one-step ahead Lyapunov function (LF) approach. The one-step ahead LF is a function of future states. The design objectives are to reduce the conservatism of the stability criterion developed for arbitrarily switched systems and further get a better disturbance attenuation capability. The distinguishing feature is that the one-step ahead LF has no structural constraint, such as, diagonal structure, and the resulting analysis and synthesis criteria can cover the non-monotonic method considering two samples variation, i.e. V k + 2 2 − V k 2 + V k + 1 1 − V k 1 < 0 or V k + 2 − V k < 0 as a special case. The obtained results can be easily extended to the multi-step ahead case. Numerical examples are included to demonstrate the effectiveness of the developed method.
Starting Page	1141
Ending Page	1147
Page Count	7
ISSN	17518644
Volume Number	12
e-ISSN	17518652
Issue Number	Issue 8, May (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/12/8
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2017.1026
Journal	IET Control Theory & Applications
Publisher Date	2018-02-07
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Analysis Criteria Arbitrarily Switched System Control System Analysis Control System Synthesis Design Objectives Discrete Control System Discrete Time System Discrete-time Switched System Disturbance Attenuation Capability H∞ Control Lyapunov Method Nonmonotonic Method One-step Ahead LF One-step Ahead Lyapunov Function Stability Stability Criteria Stability in Control Theory Structural Constraint Switching System (control) Synthesis Criteria Synthesis Method Time Varying Control System
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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