STABILITY AND OPTIMALITY ALGORITHM FOR NEUTRAL DELAY SYSTEMS WITH ACTUATOR SATURATION

Xinghua Liu and Hongsheng Xi

Keywords

Neutral system, discrete time-delay, neutral time-delay, actuatorsaturation, two-stage dissolution tank

Abstract

The problem of stability for neutral systems with time delay and saturating actuator are considered in this paper. In order to analyse and optimize the system, auxiliary functions are presented based on additive decomposition approach and the relationship among them is discussed. As the stability criterion in this paper, sufficient conditions are obtained to guarantee asymptotic stability for the neutral systems. Furthermore, the paper gives the stability and optimality algorithm to solve the optimal result. Finally, from the two-stage dissolution tank of solid caustic soda in a chemical plant, numerical examples are implemented to show the effectiveness of the proposed method.

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