Stabilization, estimation and robustness for large scale time-delay systems

W. J. Wang, C. C. Kao, C. S. Chen

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

In this paper, we consider the problems of stabilization, estimation and robustness for a large scale system. The large scale system is composed of several low order time-delay perturbed subsystems. First, by the of the Lyapunov stability theorem, two inequalities are derived, under which the controller gain and observer gain matrices in each nominal subsystem can be determined, such that not only the states of each nominal subsystem are asymptotically estimated, but also the whole nominal large scale system is asymptotically stable. Second, the nonlinear perturbation of each subsystem is considered, and the allowable perturbation bound is obtained, such that the whole closed-loop system remains robustly stable. This paper has two main features: 1. we need not solve any Lyapunov equation or Riccati equation in the results. 2. these results are also applicable to the system without time-delay and/or with linear perturbations.

Original languageEnglish
Pages (from-to)569-585
Number of pages17
JournalControl, theory and advanced technology
Volume7
Issue number4
StatePublished - Dec 1991

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