scholarly journals Robust H1 control for a class of switched nonlinear systems

2016 ◽  
Vol 12 (2) ◽  
pp. 5870-5879
Author(s):  
Hui Xu ◽  
Min Wang
Keyword(s):  
Nonlinear Systems ◽  
Control Problem ◽  
Closed Loop ◽  
Average Dwell Time ◽  
Control Law ◽  
Switched Nonlinear Systems ◽  
Switching Law ◽  
Nonlinear Part ◽  
Exponentially Stable ◽  
Average Dwell Time Method

This article is concerned with the robust H1 control problem of a class of switched nonlinear systems with norm-bounded time-varying uncertainties. The system considered in this class is composed of two parts: a uncertain linear switched part and a nonlinear part, which is also switched systems. Under the circumstances, that the H1 control problem of all subsystems are not all solvable, the switched feedback control law and the switching law are designed using the average dwell-time method. The corresponding closed-loop switched system is exponentially stable and achieves a weighted L2-gain.

Robust Stabilization for a Class of Switched Nonlinear Systems

2012 ◽  
Vol 490-495 ◽  
pp. 1536-1540
Author(s):  
Cai Yun Wu ◽  
Ben Niu
Keyword(s):  
Nonlinear Systems ◽  
State Feedback ◽  
Robust Stabilization ◽  
Linear Matrix ◽  
Switched Nonlinear Systems ◽  
Closed Loop System ◽  
Multiple Lyapunov Functions ◽  
Switching Law ◽  
Nonlinear Part ◽  
State Dependent

This paper addresses the stabilization problem for a class of switched nonlinear systems with Lipschitz nonlinearities using the multiple Lyapunov functions (MLFs) approach. A state feedback controller and a state dependent switching law are proposed to asymptotic stabilization the switched system via linear matrix inequalities (LMI). The developed control strategy ensures asymptotic stability of the closed-loop system even if the nonlinear part . Finally, the feasibility of the proposed method is illustrated through a simulation example

Finite-time boundedness and stabilization of switched nonlinear systems using auxiliary matrices and average dwell time method

2019 ◽  
Vol 42 (7) ◽  
pp. 1406-1416 ◽  
Author(s):  
Hadi Gholami ◽  
Mohammad Hossein Shafiei
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Linear Matrix ◽  
Switched Nonlinear Systems ◽  
System Matrix ◽  
Lyapunov Matrix ◽  
Average Dwell Time Method ◽  
Finite Time Boundedness

This paper focuses on the finite-time boundedness of switched nonlinear systems based on the Finsler’s lemma, auxiliary matrices, and average dwell time method. The analysis is provided for a switched system with Lipschitz nonlinearities and in the presence of external disturbances. Moreover, a switching controller is designed based on linear matrix inequalities (LMIs), to make the closed-loop system finite-time bounded. Presented theorems in this paper are more general and have less conservatism than the existing methods due to using the auxiliary matrices that make the Lyapunov matrix separate from the system matrix in the resulting LMIs. Moreover, in all theorems, the average dwell time of the switching system has been evaluated. Three examples are given to illustrate the effectiveness of the proposed method and to show that it is less conservative compared with existing methods.

scholarly journals On Exponential Stabilizability for a Class of Switched Nonlinear Systems with Mixed Time-Varying Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Jie Qi ◽  
Yuangong Sun
Keyword(s):  
Nonlinear Systems ◽  
Average Dwell Time ◽  
Time Varying ◽  
Switched Nonlinear Systems ◽  
Positive Systems ◽  
Time Switching ◽  
Switched Nonlinear System ◽  
Exponentially Stable ◽  
A New Technique ◽  
Average Dwell Time Switching

We study the exponential stabilizability for a class of switched nonlinear systems with mixed time-varying delays. By using a new technique developed for positive systems, we design the average dwell time switching under which the switched nonlinear system is exponentially stable for any bounded delays. Finally, numerical examples are worked out to illustrate the main theoretical result.

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