scholarly journals A linear state feedback switching rule for global stabilization of switched nonlinear systems about a nonequilibrium point

2019 ◽  
Vol 49 ◽  
pp. 62-67 ◽  
Author(s):  
Oleg Makarenkov
Keyword(s):  
Nonlinear Systems ◽  
State Feedback ◽  
Global Stabilization ◽  
Switched Nonlinear Systems ◽  
Switching Rule ◽  
Linear State

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.

Global stabilization for switched stochastic nonlinear systems via unbounded time-varying scaling

2017 ◽  
Vol 40 (7) ◽  
pp. 2270-2277 ◽  
Author(s):  
Zhibao Song ◽  
Junyong Zhai ◽  
Zhengwei Zhu
Keyword(s):  
Nonlinear Systems ◽  
State Feedback ◽  
Closed Loop ◽  
Switched System ◽  
Feedback Controller ◽  
Stochastic Nonlinear Systems ◽  
Time Varying ◽  
Global Stabilization ◽  
Asymptotically Stable ◽  
Control Scheme

This paper is concerned with the problem of global stabilization for switched stochastic nonlinear systems under arbitrary switchings. Based on the unbounded time-varying scaling of states, we design a state feedback controller to render the closed-loop switched system asymptotically stable in probability. Two examples are given to demonstrate the effectiveness of the proposed control scheme.

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