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Robust control synthesis of bilinear systems with nonlinear weights by Sum of Squares optimization

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3 Author(s)
Nobuyama, E. ; Dept. of Syst. Design & Inf., Kyushu Inst. of Technol., Iizuka, Japan ; Aoyagi, T. ; Kami, Y.

Robust control problems for nonlinear systems are usually formulated as L2-induced norm minimization problems and it is known that those problems are reduced to the solvability of Hamilton-Jacobi equations. However, in the case of bilinear systems the usual L2-induced norm minimization problem leads to an obvious solution (the zero input). To avoid the obvious solution Simizu et al. (1997) introduced nonlinear weights on the evaluated signal and proposed a design method using linearization of the state-dependent matrix Riccati inequality derived from the Hamilton-Jacobi equation. In contrast to this, the purpose of the present paper is to propose a new design method using SOS (Sum-of-Squares) optimization technique without linearization.

Published in:

System Theory, Control, and Computing (ICSTCC), 2011 15th International Conference on

Date of Conference:

14-16 Oct. 2011