Abstract
This paper addresses robust static output-feedback control problems for a nonlinear system with uncertain fuzzy output in Takagi-Sugeno’s (T-S) form. Two cases of the T-S fuzzy system, both continuous- and discrete-time cases are considered. In both cases, sufficient design conditions are derived for asymptotic stabilization in the sense of Lyapunov, in terms of linear matrix inequalities. Results are extended to retain ℋ∞ disturbance attenuation performance. An illustrative example on the permanent magnet synchronous motor equipped with uncertain nonlinear output and disturbance is provided to illustrate the effectiveness of the proposed methodology.
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Recommended by Editorial Board member Eun Tai Kim under the direction of Editor Young Il Lee.
Ho Jae Lee received the B.S., M.S., and Ph.D. degrees in Electrical and Electronic Engineering, all from Yonsei University, Seoul, Korea, in 1998, 2000, and 2004, respectively. He was with the University of Houston, Houston, TX, USA as a Visiting Assistant Professor in the Department of Electrical and Computer Engineering in 2005. He has been affiliated with the School of Electronic Engineering, Inha University, Incheon, Korea since 2006, where he is currently an Assistant Professor. His research interests include stability analysis in fuzzy control systems and hybrid dynamical systems, and digital redesign.
Do Wan Kim received the B.S., M.S., and Ph.D. degrees in the Department of Electrical and Electronic Engineering, from Yonsei University, Seoul, Korea, in 2002, 2004, and 2007, respectively. He worked at the Engineering Research Institute, Yonsei University, Seoul, Korea. He was with the University of California at Berkeley, Berkeley, CA, USA as a Visiting Scholar in the Department of Mechanical Engineering. Since 2009, he has worked as a Research Professor in the Department of Electrical and Electronic Engineering, Yonsei University, Seoul, Korea. His current research interests include discrete-time, sampled-data, and digital nonlinear control systems, linear and nonlinear systems with nonlinear perturbations, fuzzy systems, and digital redesign.
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Lee, H.J., Kim, D.W. Robust stabilization of T-S fuzzy systems: Fuzzy static output feedback under parametric uncertainty. Int. J. Control Autom. Syst. 7, 731–736 (2009). https://doi.org/10.1007/s12555-009-0505-0
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DOI: https://doi.org/10.1007/s12555-009-0505-0