Journal Article

·2013

Robust delay-dependent feedforward control of neutral time-delay systems via dynamic IQCs

Levent Ucun YTU , İbrahim Beklan Küçükdemiral YTU

International Journal of Systems Science

Abstract

This paper studies the design problem of delay-dependent based robust and optimal feedforward controller design for a class of time-delay control systems having state, control and neutral type delays which are subject to norm-bounded uncertainties and type measurable or observable disturbance signals. Two independent loops which include state-feedback and dynamic feedforward controller form the basis of the proposed control scheme in this study. State-feedback controller is generally used in stabilisation of the nominal delay-free system, whereas the feedforward controller is used for improving disturbance attenuation performance of the overall system. In order to obtain less conservative results, the delay and parametric uncertainty effects are treated in operator view point and represented by frequency-dependent (dynamic) integral quadratic constraints (IQCs). Moreover, sufficient delay-dependent criterion is developed in terms of linear matrix inequalities (LMIs) such that the time-delay system having parametric uncertainties is guaranteed to be asymptotically stable with minimum achievable disturbance attenuation level. Plenty of numerical examples are provided at the end, in order to illustrate the efficiency of the proposed technique. The achieved results on minimum achievable disturbance attenuation level and maximum allowable delay bounds are exhibited to be less conservative in comparison to those of controllers having only feedback loop.

Keywords

Control theory (sociology) Feed forward Parametric statistics Attenuation Controller (irrigation) Mathematics Robust control Norm (philosophy) Computer science Control system Control (management) Engineering Control engineering

Subject Areas

Stability and Control of Uncertain Systems ·Control and Systems Engineering ·Physical Sciences
Adaptive Control of Nonlinear Systems ·Control and Systems Engineering ·Physical Sciences
Stability and Controllability of Differential Equations ·Control and Systems Engineering ·Physical Sciences

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