Lin-Sontag and common Lyapunov functions for stabilising control of a switched nonlinear systems

2018 ◽  
Vol 30 (3) ◽  
pp. 316
Author(s):  
Abdessamad Abdelhedi ◽  
Wided Saadi ◽  
Driss Boutat ◽  
Lassaad Sbita
Keyword(s):  
Nonlinear Systems ◽  
Lyapunov Functions ◽  
Switched Nonlinear Systems ◽  
Common Lyapunov Functions

scholarly journals Homogeneous Stabilizer by State Feedback for Switched Nonlinear Systems Using Multiple Lyapunov Functions’ Approach

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Hui Ye ◽  
Bin Jiang ◽  
Hao Yang
Keyword(s):  
Nonlinear Systems ◽  
Lyapunov Functions ◽  
State Feedback ◽  
Homogeneous State ◽  
Switched Nonlinear Systems ◽  
Multiple Lyapunov Functions ◽  
Globally Asymptotically Stable ◽  
Switching Law ◽  
Adding A Power Integrator ◽  
Linear Growth Condition

This paper investigates the problem of global stabilization for a class of switched nonlinear systems using multiple Lyapunov functions (MLFs). The restrictions on nonlinearities are neither linear growth condition nor Lipschitz condition with respect to system states. Based on adding a power integrator technique, we design homogeneous state feedback controllers of all subsystems and a switching law to guarantee that the closed-loop system is globally asymptotically stable. Finally, an example is given to illustrate the validity of the proposed control scheme.

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