Asymptotic Stability of the Golden-Section Control Law for Multi-Input and Multi-Output Linear Systems

Duo-Qing Sun and Zhu-Mei Sun

Journal of Applied Mathematics, 2012, vol. 2012, 1-11

Abstract:

This paper is concerned with the problem of the asymptotic stability of the characteristic model-based golden-section control law for multi-input and multi-output linear systems. First, by choosing a set of polynomial matrices of the objective function of the generalized least-square control, we prove that the control law of the generalized least square can become the characteristic model-based golden-section control law. Then, based on both the stability result of the generalized least-square control system and the stability theory of matrix polynomial, the asymptotic stability of the closed loop system for the characteristic model under the control of the golden-section control law is proved for minimum phase system.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:407409

DOI: 10.1155/2012/407409

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