L2-gain Analysis and Control Synthesis for a Class of Uncertain Switched Nonlinear Systems

2009 ◽  
Vol 35 (11) ◽  
pp. 1459-1464 ◽  
Author(s):  
Min WANG ◽  
Jun ZHAO
Keyword(s):  
Nonlinear Systems ◽  
Control Synthesis ◽  
Switched Nonlinear Systems ◽  
And Control

GENERATION AND CONTROL OF SPHERICAL AND CIRCULAR ATTRACTORS USING SWITCHING SCHEMES

2007 ◽  
Vol 17 (01) ◽  
pp. 243-253 ◽  
Author(s):  
QINGFEI CHEN ◽  
QIUHAI ZHONG ◽  
YIGUANG HONG ◽  
GUANRONG CHEN
Keyword(s):  
Nonlinear Systems ◽  
Switched Systems ◽  
Underlying Mechanism ◽  
Chaotic Attractors ◽  
Switched Nonlinear Systems ◽  
And Control

Construction of special (chaotic) attractors for various design demands has drawn much attention recently. This paper studies the generation of a family of spherical and circular quasi-periodic/chaotic attractors from simple switched nonlinear systems. Controllers are designed for manipulating the sizes or shapes of islands and bridges in such circular attractors. The underlying mechanism of generating these attractors from the switched systems is investigated.

scholarly journals Finite-Time Optimization Stabilization for a Class of Constrained Switched Nonlinear Systems

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Baili Su ◽  
Dandan Chunyu
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
Switched Nonlinear Systems ◽  
Region Of Attraction ◽  
Time Stability ◽  
Finite Time Stability ◽  
System A ◽  
Time Optimization ◽  
Switched Nonlinear System ◽  
And Control

This paper studies the finite-time stability problem of a class of switched nonlinear systems with state constraints and control constrains. For each subsystem, optimization controller is designed by choosing the appropriate Lyapunov function to stabilize the subsystem in finite time and the estimation of the region of attraction can be prescribed. For the whole switched nonlinear system, a suitable switched law is designed to ensure the following: (1) at the time of the transition, Lyapunov function’s value of the switched-in subsystem being less than the value of the last subsystem; (2) the finite-time stability of the whole close-loop system. Finally, a simulation example is used to verify the effectiveness of the proposed algorithm.

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