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http://dx.doi.org/10.5302/J.ICROS.2007.13.5.487

Development of Robust Fuzzy Controller with Relaxed Stability Condition: Global Intelligent Digital Redesign Approach  

Sung, Hwa-Chang (연세대학교 전기전자공학부)
Kim, Jin-Kyu (군산대학교 전자정보공학부)
Joo, Young-Hoon (군산대학교 전자정보공학부)
Park, Jin-Bae (연세대학교 전기전자공학부)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.13, no.5, 2007 , pp. 487-492 More about this Journal
Abstract
This paper presents the development of digital robust fuzzy controller for uncertain nonlinear systems. The proposed approach is based on the intelligent digital redesign(IDR) method with considering the relaxed stability condition of fuzzy control system. The term IDR in the concerned system is to convert an existing analog robust control into an equivalent digital counterpart in the sense of the state-matching. We shows that the IDR problem can be reduced to find the digital fuzzy gains minimizing the norm distance between the closed-loop states of the analog and digital robust control systems. Its constructive conditions are expressed as the linear matrix inequalities(LMIs) and thereby easily tractable by the convex optimization techniques. Based on the nonquadratic Lyapunov function, the robust stabilization conditions are given for the sampled-data fuzzy system, and hence less conservative. A numerical example, chaotic Lorentz system, is demonstrated to visualize the feasibility of the proposed methodology.
Keywords
Takaki-Sugeno fuzzy system; global digital redesign; Lyapunov function; norm minimization; linear matrix inequality;
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