An optimization algorithm for designing a stabilizing controller for linear time-varying uncertain systems with state delays

Abstract

This paper investigates the problem of designing a linear memoryless state feedback control to stabilize a class of linear uncertain systems with state delays. Each uncertain parameter and each delay under consideration may take arbitrarily large values. In such a situation, the locations of uncertain entries in the system matrices play an important role. So far, obtained conditions show that if a system has a particular geometric configuration called a triangular antisymmetric configuration, then the system is stabilizable however large the given bounds of uncertain variations might be. However, the procedure for designing a stabilizing controller has still not been fully examined although the proof was successfully completed. The objective of this paper is to provide a novel optimization algorithm for designing a controller to stabilize a linear uncertain delay system independently of the given bounds of uncertain parameters and time delays. An illustrative example verifies the usefulness of the proposed method.