Research on Model Reference Robust Control for Multivariable Linear System

Abstract

This paper studies the output-feedback model reference robust control for MIMOlinear systems with generalized relative degree one. A new robust controlscheme is proposed within the framework of model reference control. Under theassumption that the high-frequency gain matrix of the plant can be transformedto a glass of main diagonal dominant matrix via full rank transformation, it isshown that all signals of the closed-loop system are globally uniformly boundedand meanwhile, the tracking errors converge to a residual set that can be madearbitrarily small by properly choosing some design parameters. Simulationresults are presented to illustrate the effectiveness of the proposed scheme.