Design of static and dynamic output feedback controllers for a discrete-time switched non-linear system with time-varying delay and parametric uncertainty

This study focuses on the stability analysis and design of output feedback controllers for a non-linear discrete-time switched system with uncertain subsystems. The considered system involves time-varying delay, non-linear terms, and affine parametric uncertainties. The main goals of this study are...

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Bibliographic Details
Published in:IET control theory & applications 2018-07, Vol.12 (11), p.1635-1643
Main Authors: Baleghi, Nasrollah Azam, Shafiei, Mohammad Hossein
Format: Article
Language:English
Subjects:
affine parametric uncertainties
arbitrary switching signals
asymptotic stability
closed loop systems
closed‐loop system
considered system
continuous time systems
control system synthesis
delays
discrete time systems
dynamic output feedback controllers
feedback
linear matrix inequalities
linear systems
Lyapunov methods
nonlinear control systems
nonlinear discrete‐time
nonlinear system
nonlinear terms
parametric uncertainty
Research Article
stabilising output feedback controllers
stability
stability analysis
static output feedback controllers
sufficient conditions
switched Lyapunov functions
time‐delay
time‐varying delay
time‐varying systems
uncertain subsystems
uncertain systems
unforced switched system
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Summary:This study focuses on the stability analysis and design of output feedback controllers for a non-linear discrete-time switched system with uncertain subsystems. The considered system involves time-varying delay, non-linear terms, and affine parametric uncertainties. The main goals of this study are first to derive sufficient conditions to guarantee the stability of the unforced switched system and then, to construct two stabilising output feedback controllers (static and dynamic) to stabilise the closed-loop system with considering arbitrary switching signals. In this regard, based on switched Lyapunov functions, an appropriate Lyapunov–Krasovskii functional is constructed to establish the sufficient conditions; these conditions depend only on the upper bounds of the time-delay and uncertain parameters. Furthermore, in the proposed method, the admissible bound of time-delay and the maximum non-linearity of subsystems could be calculated. Finally, numerical examples are provided to verify the theoretical results.
ISSN:1751-8644
1751-8652
1751-8652
DOI:10.1049/iet-cta.2017.1203