Controller Design for Input-Saturated Discrete-Time Switched Systems with Stochastic Nonlinearity

In this paper, we study the mean-square exponential stability of the input-saturated discrete-time switched systems with stochastic nonlinearity. The main contributions are as follows: (1) Based on the low-gain feedback control and the discrete parametric Lyapunov equation, a state feedback controll...

Full description

Saved in:
Bibliographic Details
Published inCircuits, systems, and signal processing Vol. 42; no. 6; pp. 3341 - 3359
Main Authors Wang, Qian, Lin, Qingxia
Format Journal Article
LanguageEnglish
Published New York Springer US 01.06.2023
Springer Nature B.V
Subjects
Circuits and Systems
Closed loop systems
Closed loops
Control systems design
Controllers
Design
Discrete time systems
Eigenvalues
Electrical Engineering
Electronics and Microelectronics
Engineering
Feedback control
Instrumentation
Nonlinearity
Output feedback
Process controls
Signal processing
Signal,Image and Speech Processing
Stability analysis
State feedback
Switched system
Stochastic nonlinearity
Input saturation
Online AccessGet full text
ISSN0278-081X
1531-5878
DOI10.1007/s00034-022-02273-3

Cover

More Information
Summary:In this paper, we study the mean-square exponential stability of the input-saturated discrete-time switched systems with stochastic nonlinearity. The main contributions are as follows: (1) Based on the low-gain feedback control and the discrete parametric Lyapunov equation, a state feedback controller and an output feedback controller are designed; (2) the input saturation and stochastic nonlinearity are solved; and (3) the stability of the system is analyzed and the closed-loop system is mean-square exponentially stable under the designed controllers. The validity of the theoretical results is verified by the numerical simulations.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0278-081X
1531-5878
DOI:10.1007/s00034-022-02273-3