Input-to-state stability for hybrid delayed systems with delay-dependent impulses

2020 ◽  
Author(s):  
Zhengbao Cao
Keyword(s):  
Delayed Systems ◽  
Delay Dependent

A New Approach to Delay-Dependent H∞ Control of Linear State-Delayed Systems

2004 ◽  
Vol 126 (1) ◽  
pp. 201-205 ◽  
Author(s):  
De-Jin Wang
Keyword(s):  
Controller Design ◽  
Linear Matrix ◽  
State Delay ◽  
Delayed Systems ◽  
Cross Term ◽  
Closed Loop Systems ◽  
Linear State ◽  
Delay Dependent ◽  
Time Invariant ◽  
Control Criterion

An alternative delay-dependent H∞ controller design is proposed for linear, continuous, time-invariant systems with unknown state delay. The resulting delay-dependent H∞ control criterion is obtained in terms of Park’s inequality for bounding cross term. The H∞ controller determined by a convex optimization algorithm with linear matrix inequality (LMI) constraints, guarantees the asymptotic stability of the closed-loop systems and reduces the effect of the disturbance input on the controlled output to within a prescribed level. A numerical example illustrates the effectiveness of our method.

scholarly journals Robust Moving HorizonH∞Control of Discrete Time-Delayed Systems with Interval Time-Varying Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
F. Yıldız Tascikaraoglu ◽  
I. B. Kucukdemiral ◽  
J. Imura
Keyword(s):  
Discrete Time ◽  
Disturbance Rejection ◽  
Closed Loop ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Time Varying ◽  
Discrete Time System ◽  
Delayed Systems ◽  
State Delays ◽  
Delay Dependent

In this study, design of a delay-dependent type moving horizon state-feedback control (MHHC) is considered for a class of linear discrete-time system subject to time-varying state delays, norm-bounded uncertainties, and disturbances with bounded energies. The closed-loop robust stability and robust performance problems are considered to overcome the instability and poor disturbance rejection performance due to the existence of parametric uncertainties and time-delay appeared in the system dynamics. Utilizing a discrete-time Lyapunov-Krasovskii functional, some delay-dependent linear matrix inequality (LMI) based conditions are provided. It is shown that if one can find a feasible solution set for these LMI conditions iteratively at each step of run-time, then we can construct a control law which guarantees the closed-loop asymptotic stability, maximum disturbance rejection performance, and closed-loop dissipativity in view of the actuator limitations. Two numerical examples with simulations on a nominal and uncertain discrete-time, time-delayed systems, are presented at the end, in order to demonstrate the efficiency of the proposed method.

scholarly journals Stabilization of Discrete-Time Delayed Systems via Partially Delay-Dependent Controllers

2015 ◽  
Vol 2015 ◽  
pp. 1-14
Author(s):  
Guoliang Wang ◽  
Boyu Li
Keyword(s):  
Discrete Time ◽  
State Feedback ◽  
Transition Probabilities ◽  
Stabilization Problem ◽  
Delayed Systems ◽  
Stabilizing Controller ◽  
Discrete Time Markov Chain ◽  
Distribution Property ◽  
Special Cases ◽  
Delay Dependent

This paper is concerned with the stabilization problem for a class of discrete-time delayed systems, whose stabilizing controller is firstly designed to be partially delay-dependent. The distribution property of such a controller is firstly described by a discrete-time Markov chain with two modes. It is seen that two traditionally special cases of state feedback controller without or with time delay, respectively, are included. Based on the proposed controller, new stabilization conditions depending on some probabilities are developed. Because of the established results with LMI forms, they are further extended to more general cases that the transition probabilities are uncertain and totally unknown, while more applications are also given in detail. Finally, numerical examples are used to demonstrate the effectiveness and superiority of the proposed methods.

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