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1-D polynomial systems are generalization of conventional 1-D linear systems and can represent nonlinear control systems effectively. In this paper, conventional 2-D Roesser models are extended to that with polynomial system matrices, i.e. 2-D polynomial Roesser model. The problems of stability analysis and Hx control for 2-D polynomial Roesser model are considered in this paper. A sufficient condition for the stability of 2-D polynomial Roesser model is proposed and an Hx polynomial controller is obtained in terms of sum of squares (SOS). An example is provided to show the effectiveness of the approach.
Control Conference (CCC), 2011 30th Chinese
Date of Conference: 22-24 July 2011