scholarly journals Robust H∞ Reliable Control of Uncertain Switched Nonlinear Systems with Time-varying Delay

10.5772/15617 ◽  
2011 ◽  
Author(s):  
Ronghao Wang ◽  
Jianchun Xing ◽  
Ping Wang ◽  
Qiliang Yang ◽  
Zhengrong Xiang
Keyword(s):  
Nonlinear Systems ◽  
Reliable Control ◽  
Time Varying ◽  
Switched Nonlinear Systems ◽  
Time Varying Delay ◽  
Varying Delay

scholarly journals H∞ Control for Mixed-Mode Based Switched Nonlinear Systems with Time-Varying Delay

2019 ◽  
Vol 2019 ◽  
pp. 1-9
Author(s):  
Zhen Liu ◽  
Shu Miao ◽  
Canbo Ye ◽  
Xingbo Liu
Keyword(s):  
Nonlinear Systems ◽  
Mixed Mode ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Control Analysis ◽  
Time Varying ◽  
Switched Nonlinear Systems ◽  
Time Varying Delay ◽  
Mixed Modes ◽  
Varying Delay

This paper investigated H∞ performance of the switched nonlinear systems with time-varying delay, which contains mixed modes, important characteristics of switched delay systems. Most of the references ignored the existence of mixed modes in such systems, which is a fatal mistake. This paper will correct the mistake of the existing references. The mixed modes give the H∞ control for switched nonlinear delay systems a challenge. With this difficulty, we take measures to handle the effects of mixed modes on such systems and achieve the H∞ performance of such systems. Firstly, the H∞ control analysis is divided into two cases, and the sufficient conditions for the exponential decay of the Lyapunov-Krasovskii functionals are given with the integral interval approach. Secondly, the combination of average dwell-time approach and subsystem activation rate is utilized to achieve the H∞ performance for the mixed-mode based switched systems with time-varying delay. Finally, simulation examples show the efficiency of the switching control strategy.

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