Multivariable simultaneous stabilization: A modified Riccati approach

2024/02/06 by Yufang Cui, Anders Lindquist, Cui, Yufang +1
Computer Science · Engineering · #Fuzzy Logic and Control Systems #Control Systems and Identification #Advanced Control Systems Design

paper · pdf · doi:10.48550/arxiv.2402.04289

Abstract

Simultaneous stabilization problem arises in various systems and control applications. This paper introduces a new approach to addressing this problem in the multivariable scenario, building upon our previous findings in the scalar case. The method utilizes a Riccati-type matrix equation known as the Covariance Extension Equation, which yields all solutions parameterized in terms of a matrix polynomial. The procedure is demonstrated through specific examples.

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