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http://dx.doi.org/10.5302/J.ICROS.2016.16.0030

Robust H∞ Disturbance Attenuation Control of Continuous-time Polynomial Fuzzy Systems  

Jang, Yong Hoon (Department of Electrical and Electronic Engineering, Yonsei University)
Kim, Han Sol (Department of Electrical and Electronic Engineering, Yonsei University)
Joo, Young Hoon (Department of Control and Robot Engineering, Kunsan National University)
Park, Jin Bae (Department of Electrical and Electronic Engineering, Yonsei University)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.22, no.6, 2016 , pp. 429-434 More about this Journal
Abstract
This paper introduces a stabilization condition for polynomial fuzzy systems that guarantees $H_{\infty}$ performance under the imperfect premise matching. An $H_{\infty}$ control of polynomial fuzzy systems attenuates the effect of external disturbance. Under the imperfect premise matching, a polynomial fuzzy model and controller do not share the same membership functions. Therefore, a polynomial fuzzy controller has an enhanced design flexibility and inherent robustness to handle parameter uncertainties. In this paper, the stabilization conditions are derived from the polynomial Lyapunov function and numerically solved by the sum-of-squares (SOS) method. A simulation example and comparison of the performance are provided to verify the stability analysis results and demonstrate the effectiveness of the proposed stabilization conditions.
Keywords
$H_{\infty}$ control; Polynomial fuzzy systems; Fuzzy control; Imperfect premise matching; Sum-of-squares;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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