Stability Bound Analysis and Synthesis for Singularly Perturbed Systems with Time-Varying Delay

Abstract EN

This paper addresses the problems of stability bound analysis and synthesis for singularly perturbed systems with time-varying delay.

First, by constructing an appropriate Lyapunov-Krasovskii functional, a sufficient condition is derived for the system to be stable when the singular perturbation parameter is lower than a predefined upper bound which is referred to as the stability bound of the singularly perturbed system.

The proposed criterion needs less computational cost than the existing ones.

Then, a state feedback controller design method is proposed to achieve a prescribed stability bound, which can be applied to both standard and nonstandard singularly perturbed systems with time-varying delay.

Finally, the effectiveness and merits of the proposed approach are shown through numerical examples.