On the design of universal stabilizing continuous linear controllers for time-delay systems

Subtitle: Part II. Universal controller and main stability results

Article type: Research Article

Authors: de la Sen, Manuel | Luo, Ningsu

Affiliations: Dpto. Electricidad y Electrónica, Facultad de Ciencias, Universidad del País Vasco, Apdo. 644 de Bilbao (Leioa), Bizkaia, Spain. E-mail: ningsu@we.lc.ehu.es

Abstract: Part II deals with the design problem of generalized linear controllers for linear systems with after-effect so that the resulting closed-loop system is globally uniformly asymptotically stable in the Lyapunov's sense. The controllers are universal in the sense that they include the usual delays (namely, point, distributed and mixed point-distributed delays) which can be finite, infinite or even time-varying. The stability is formulated in terms of sufficient conditions depending, in general, on the system parameters and delays. It is shown that a stabilizing controller can be designed by using the well-known Kronecker product of matrices provided that a stabilizing controller exists in the absence of external (or, input) delay.

Keywords: delay systems, point delays, distributed delays, Lyapunov's stability, stabilizing controllers

DOI: 10.3233/INF-1997-8405

Journal: Informatica, vol. 8, no. 4, pp. 527-558, 1997