Delay-dependent observer-based stabilizing controller design for linear multiple state-delayed systems

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.

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

Mathematical Problems in Engineering ◽

10.1155/2015/471751 ◽

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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Delay-dependent Output Feedback Robust Passivity Controller Design for Uncertain Delayed Systems

2009 International Conference on Advanced Computer Control ◽

10.1109/icacc.2009.66 ◽

2009 ◽

Author(s):

Li Gui-Fang ◽

Huang Sheng-Guo ◽

Liu Xing

Keyword(s):

Output Feedback ◽

Controller Design ◽

Delayed Systems ◽

Delay Dependent

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A partially delay-dependent and disordered controller design for discrete-time delayed systems

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.3703 ◽

2016 ◽

Vol 27 (16) ◽

pp. 2646-2668 ◽

Cited By ~ 5

Author(s):

Guoliang Wang ◽

Boyu Li ◽

Qingling Zhang ◽

Chunyu Yang

Keyword(s):

Discrete Time ◽

Controller Design ◽

Delayed Systems ◽

Delay Dependent

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A robust delay-dependent guaranteed cost PID multivariable output feedback controller design for time-varying delayed systems: an LMI optimization approach

European Journal of Control ◽

10.1016/j.ejcon.2021.06.003 ◽

2021 ◽

Author(s):

Mehmet Nur Alpaslan Parlakci ◽

Elbrous M. Jafarov

Keyword(s):

Output Feedback ◽

Controller Design ◽

Feedback Controller ◽

Optimization Approach ◽

Time Varying ◽

Delayed Systems ◽

Lmi Optimization ◽

Output Feedback Controller ◽

Guaranteed Cost ◽

Delay Dependent

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Delay-Dependent Non-Fragile Robust H∞ Control for Switched Systems with Multiple Time Delays

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.130-134.222 ◽

2011 ◽

Vol 130-134 ◽

pp. 222-226

Author(s):

Ni Zhang ◽

Mei Chun Fu ◽

Tao Zou

Keyword(s):

Time Delays ◽

Controller Design ◽

Design Method ◽

Sufficient Conditions ◽

Multiple Time ◽

State Dependent ◽

Multiple State ◽

Cone Complementarity Linearization ◽

Delay Dependent ◽

Time Systems

The non-fragile robust H∞ control problem is investigated for the uncertain switched discrete time systems with multiple state and input time delays. As the system and controller parameters are polytopically uncertain, the delay-dependent sufficient conditions for the existence of the non-fragile robust H∞ controller via state feedback are presented for the systems based on the multiple Lyapunov functions and state dependent switching rules. By using the cone complementarity linearization algorithm, the nonlinear matrix inequalities relevant to the controller design can be transformed into the nonlinear programming problems constrained by the linear matrices. The simulation results show the effectiveness of the controller design method.

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