Delayed System Control in Presence of Magnitude and Rate Saturation

Adel Mahjoub(1*), N. Derbel(2)

(1) National School of Engineers, Sfax University, Tunisia
(2) National School of Engineers, Sfax University, Tunisia
(*) Corresponding author

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This paper deals with the problem of controlling linear systems in the case where control input represents saturation constraint. According to these constraints the rate as well as the magnitude of the control input are not allowed to exceed given values. A saturated regulator is designed by the pole placement technique and shown to ensure the following performances:
a) for any bounded reference signal, all the closed-loop signals are globally bounded,
b) in the case of a constant reference sequence, which is compatible with the constraints, one has:
i) The input magnitude and rate stop saturating asymptotically and
ii) the output tracking error tends asymptotically to zero.
A sufficient condition to achieve these performances is to attribute the poles of the closed loop within a well defined neighborhood of the system poles which, for this reason, has to be stable

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Dead-Time System; Pole Placement Control; Input Magnitude Constraint; Input Rate Saturation; Stability; Actuator Saturation; Reference Tracking; Delay Systems

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