scholarly journals Composite Disturbance Observer-Based Control andH∞Output Tracking Control for Discrete-Time Switched Systems with Time-Varying Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Haibin Sun ◽  
Linlin Hou
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
Tracking Control ◽  
Disturbance Observer ◽  
Time Varying ◽  
Time Varying Delay ◽  
Output Tracking ◽  
Output Tracking Control ◽  
Control Scheme ◽  
Varying Delay

This paper considers the problem ofH∞output tracking control for discrete-time switched systems with time-varying delay and external disturbances. The control scheme combining disturbance observer-based control (DOBC) andH∞control is proposed. The disturbances are assumed to include two parts. One part is generated by an exogenous system, which imposes on system with control inputs in the same channel. The other part is supposed to have the boundedH2norm. A new disturbance observer is developed to estimate and reject the first case disturbances for switched system with time-varying delay, and the second case disturbances are attenuated byH∞control scheme. The stability analysis of the closed-loop system is developed by switched Lyapunov function, and a solvable delay-dependent sufficient condition is presented in terms of linear matrix inequalities (LMIs) and cone complement linearization (CCL) methods. A numerical example is given to demonstrate the effectiveness of the proposed composite control scheme.

H-Infinite Output Tracking Control for Neutral Systems with Time-Varying Delay and Nonlinear Perturbations: A Less Conservative Result

2011 ◽  
Vol 48-49 ◽  
pp. 579-583 ◽  
Author(s):  
Guang Xin Zhong ◽  
Zhao Di Xu ◽  
Xiao Yi Li
Keyword(s):  
Tracking Control ◽  
Time Varying ◽  
Nonlinear Perturbations ◽  
Neutral Systems ◽  
Time Varying Delay ◽  
Output Tracking ◽  
Output Tracking Control ◽  
Conservative Result ◽  
Delay Dependent ◽  
Varying Delay

The problem of H-Infinite output tracking control for liner neutral systems with time-varying and nonlinear perturbations is investigated. The purpose of this paper is to ontain a delay-dependent sufficient condition to guarantee H-Infinite output tracking performance and a less conservative result. A liner matrix inequality (LMI) approach is adopted to solve the problem.

Robust Exponential Stability for Uncertain Discrete-Time Switched Systems with Interval Time-Varying Delay via a Switching Signal

2013 ◽  
Vol 479-480 ◽  
pp. 983-988
Author(s):  
Jenq Der Chen ◽  
Chang Hua Lien ◽  
Ker Wei Yu ◽  
Chin Tan Lee ◽  
Ruey Shin Chen ◽  
...  
Keyword(s):  
Exponential Stability ◽  
Discrete Time ◽  
Switched Systems ◽  
Time Varying ◽  
Signal Design ◽  
Robust Exponential Stability ◽  
Interval Time ◽  
Time Varying Delay ◽  
Switching Signal ◽  
Varying Delay

In this paper, the switching signal design to robust exponential stability for discrete-time switched systems with interval time-varying delay is considered. LMI-based conditions are proposed to guarantee the global exponential stability for such system with parametric perturbations by using a switching signal. The appropriate Lyapunov functionals are used to reduce the conservativeness of systems. Finally, a numerical example is illustrated to show the main results.

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