Input‐to‐state stability of impulsive switched nonlinear time‐delay systems with two asynchronous switching phenomena

2020 ◽  
Vol 30 (12) ◽  
pp. 4463-4484
Author(s):  
Zhichuang Wang ◽  
Jian Sun ◽  
Jie Chen
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Asynchronous Switching

scholarly journals AsynchronousH∞Dynamic Output Feedback Control of Switched Time-Delay Systems with Sensor Nonlinearity and Missing Measurements

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Jiwei Wen ◽  
Li Peng
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
Output Feedback ◽  
Output Feedback Control ◽  
Delay Systems ◽  
Dynamic Output Feedback ◽  
Mean Square ◽  
Time Delay Systems ◽  
Asynchronous Switching ◽  
Missing Measurements

TheH∞dynamic output feedback control problem for a class of discrete-time switched time-delay systems under asynchronous switching is investigated in this paper. Sensor nonlinearity and missing measurements are considered when collecting output knowledge of the system. Firstly, when there exists asynchronous switching between the switching modes and the candidate controllers, new results on the regional stability andl2gain analysis for the underlying system are given by allowing the Lyapunov-like function (LLF) to increase with a random probability. Then, a mean square stabilizing output feedback controller and a switching law subject to average dwell time (ADT) are obtained with a given disturbance attenuation level. Moreover, the mean square domain of attraction could be estimated by a convex combination of a set of ellipsoids, the number of which depends on the number of switching modes. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

scholarly journals Fault tolerant control of switched nonlinear systems with time delay under asynchronous switching

2010 ◽  
Vol 20 (3) ◽  
pp. 497-506 ◽  
Author(s):  
Zhengrong Xiang ◽  
Ronghao Wang ◽  
Qingwei Chen
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Switched Systems ◽  
Controller Design ◽  
Fault Tolerant ◽  
Fault Tolerant Control ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Switched Nonlinear Systems ◽  
Asynchronous Switching

Fault tolerant control of switched nonlinear systems with time delay under asynchronous switchingThis paper investigates the problem of fault tolerant control of a class of uncertain switched nonlinear systems with time delay under asynchronous switching. The systems under consideration suffer from delayed switchings of the controller. First, a fault tolerant controller is proposed to guarantee exponentially stability of the switched systems with time delay. The dwell time approach is utilized for stability analysis and controller design. Then the proposed approach is extended to take into account switched time delay systems with Lipschitz nonlinearities and structured uncertainties. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

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