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

Content Provider	IEEE Xplore Digital Library
Author	Nobuyama, E. Aoyagi, T. Kami, Y.
Copyright Year	2011
Description	Author affiliation: Department of Systems Design and Informatics, Kyushu Institute of Technology, Iizuka-city, Fukuoka 820-8502, Japan (Nobuyama, E.; Aoyagi, T.) \|\| Department of Electrical and Computer Engineering, Akashi National Collage of Technology, Hyogo 674-8501, Japan (Kami, Y.)
Abstract	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.
Starting Page	1
Ending Page	6
File Size	335629
Page Count	6
File Format	PDF
ISBN	9781457711732
e-ISBN	9789736213212
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-10-14
Publisher Place	Romania
Access Restriction	Subscribed
Rights Holder	ICSTCC
Subject Keyword	Symmetric matrices Design methodology Minimization Polynomials Linear matrix inequalities Nonlinear systems Optimization
Content Type	Text
Resource Type	Article

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