Robust stability of switched nonlinear systems with delay and sampling

2021 ◽  
Author(s):  
Yue‐E Wang ◽  
Di Wu ◽  
Hamid Reza Karimi
Keyword(s):  
Nonlinear Systems ◽  
Robust Stability ◽  
Switched Nonlinear Systems

scholarly journals M-Matrix-Based Robust Stability and Stabilization Criteria for Uncertain Switched Nonlinear Systems with Multiple Time-Varying Delays

2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Marwen Kermani ◽  
Anis Sakly
Keyword(s):  
Nonlinear Systems ◽  
Robust Stability ◽  
Feedback Stabilization ◽  
Linear Matrix ◽  
Multiple Time ◽  
Time Varying ◽  
Switched Nonlinear Systems ◽  
Aggregation Techniques ◽  
Stability And Stabilization ◽  
Robust Stability And Stabilization

This paper focuses on the robust stability and the memory feedback stabilization problems for a class of uncertain switched nonlinear systems with multiple time-varying delays. Especially, the considered time delays depend on the subsystem number. Based on a novel common Lyapunov functional, the aggregation techniques, and the Borne and Gentina criterion, new sufficient robust stability and stabilization conditions under arbitrary switching are established. Compared with existing results, the proposed criteria are explicit, simple to use, and obtained without finding a common Lyapunov function for all subsystems through linear matrix inequalities, considered very difficult in this situation. Moreover, compared with the memoryless one, the developed controller guarantees the robust stability of the corresponding closed-loop system with more performance by minimizing the effect of the delays in the system dynamics. Finally, two numerical simulation examples are shown to prove the practical utility and the effectiveness of the proposed theories.

scholarly journals On Robust Stability Analysis of Uncertain Discrete-Time Switched Nonlinear Systems with Time Varying Delays

2018 ◽  
Vol 2018 ◽  
pp. 1-14
Author(s):  
Marwen Kermani ◽  
Anis Sakly
Keyword(s):  
Nonlinear Systems ◽  
Robust Stability ◽  
Discrete Time ◽  
Switched Systems ◽  
Multiple Delays ◽  
Time Varying ◽  
Switched Nonlinear Systems ◽  
Arbitrary Switching ◽  
Aggregation Techniques ◽  
Robust Stability Analysis

This paper provides new sufficient conditions on robust asymptotic stability for a class of uncertain discrete-time switched nonlinear systems with time varying delays. The main focus will be dedicated to development of new algebraic criteria to break with classical criteria in terms of linear matrix inequalities (LMIs). Firstly, by contracting a new common Lyapunov-Krasovskii functional as well as resorting to the M-matrix proprieties, a novel robust stability criterion under arbitrary switching signals is derived. Secondly, the obtained result is extended for a class of switched nonlinear systems modeled by a set of differences equations by applying the aggregation techniques, the norm vector notion, and the Borne-Gentina criterion. Furthermore, a generalization for switched nonlinear systems with multiple delays is proposed. The main contribution of this work is that the obtained stability conditions are algebraic and simple. In addition, they provide a solution of the most difficult problem in switched systems, which is stability under arbitrary switching, and enable avoiding searching a common Lyapunov function considered as a very difficult task even for some low-order linear switched systems. Finally, two examples are given, with numerical simulations, to show the merit and effectiveness of the proposed approach.

Robust Stability of Switched Nonlinear Systems With Switching Uncertainties

2016 ◽  
Vol 61 (9) ◽  
pp. 2531-2537 ◽  
Author(s):  
Hao Yang ◽  
Bin Jiang ◽  
Gang Tao ◽  
Donghua Zhou
Keyword(s):  
Nonlinear Systems ◽  
Robust Stability ◽  
Switched Nonlinear Systems
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