Stability analysis of switched nonlinear systems with an improved mode-dependent average dwell time method

2014 ◽  
Author(s):  
Ling Ren ◽  
Rongwei Guo ◽  
Ping Zhao ◽  
Bin Li
Keyword(s):  
Stability Analysis ◽  
Nonlinear Systems ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Switched Nonlinear Systems ◽  
Average Dwell Time Method

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 Stability Analysis of a Class of Switched Nonlinear Systems with an Improved Average Dwell Time Method

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Rongwei Guo
Keyword(s):  
Stability Analysis ◽  
Switched Systems ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Asymptotically Stable ◽  
Switched Nonlinear Systems ◽  
Globally Asymptotically Stable ◽  
Unstable Subsystems ◽  
Average Dwell Time Method ◽  
The Stability

This paper investigates the stability of switched nonlinear (SN) systems in two cases: (1) all subsystems are globally asymptotically stable (GAS), and (2) both GAS subsystems and unstable subsystems coexist, and it proposes a number of new results on the stability analysis. Firstly, an improved average dwell time (ADT) method is presented for the stability of such switched system by extending our previous dwell time method. In particular, an improved mode-dependent average dwell time (MDADT) method for the switched systems whose subsystems are quadratically stable (QS) is also obtained. Secondly, based on the improved ADT and MDADT methods, several new results to the stability analysis are obtained. It should be pointed out that the obtained results have two advantages over the existing ones; one is that the improved ADT method simplifies the conditions of the existing ADT method, the other is that the obtained lower bound of ADT (τa*) is also smaller than that obtained by other methods. Finally, illustrative examples are given to show the correctness and the effectiveness of the proposed methods.

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