Robust Moving Horizon H infinity Control of Discrete Time-Delayed Systems with Interval Time-Varying Delays

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...

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Bibliographic Details
Published in:Mathematical problems in engineering 2014-01, Vol.2014
Main Authors: Tascikaraoglu, FYildiz, Kucukdemiral, IB, Imura, J
Format: Article
Language:English
Subjects:
Asymptotic properties
Control systems
Delay
Disturbances
Mathematical models
Rejection
Stability
Uncertainty
Online Access:Get full text
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Summary: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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2014/462983