Robust stabilization of a class of switched nonlinear systems with time-varying delay and parametric uncertainty under asynchronous switching

2020 ◽  
Author(s):  
Amin Taghieh ◽  
Farzad Hashemzadeh ◽  
Mohammad Hossein Shafiei
Keyword(s):  
Nonlinear Systems ◽  
Robust Stabilization ◽  
Parametric Uncertainty ◽  
Time Varying ◽  
Switched Nonlinear Systems ◽  
Asynchronous Switching ◽  
Time Varying Delay ◽  
Varying Delay

Static output feedback control of switched nonlinear systems with time-varying delay and parametric uncertainties under asynchronous switching

2020 ◽  
pp. 014233122096905
Author(s):  
Amin Taghieh ◽  
Mohammad Hossein Shafiei
Keyword(s):  
Output Feedback ◽  
Parametric Uncertainties ◽  
Time Varying ◽  
Static Output Feedback ◽  
Switched Nonlinear Systems ◽  
Asynchronous Switching ◽  
Time Varying Delay ◽  
Output Feedback Controller ◽  
Varying Delay ◽  
Static Output

This paper presents the design of a static output feedback controller for a class of switched nonlinear systems subject to time-varying delay and uncertainties under asynchronous switching. Based on the Lyapunov-Krasovskii approach and the average dwell time technique, sufficient conditions are derived in the form of linear matrix inequalities to design a static output feedback controller for robust stabilization of a switched system. These conditions rely on the upper bounds of the switching lag between the controllers and subsystems, time-varying delay, and uncertain parameters. Using affine parametric uncertainties leads to a conservatism reduction in the control problem. Simulation results are presented to demonstrate the effectiveness of the proposed method.

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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