Research on model reference robust control for multivariable linear system

This paper studies the output-feedback model reference robust control for MIMO linear systems with generalized relative degree one. A new robust control scheme is proposed within the framework of model reference control. Under the assumption that the high-frequency gain matrix of the plant can be transformed to a glass of main diagonal dominant matrix via full rank transformation, it is shown that all signals of the closed-loop system are globally uniformly bounded and meanwhile, the tracking errors converge to a residual set that can be made arbitrarily small by properly choosing some design parameters. Simulation results are presented to illustrate the effectiveness of the proposed scheme.