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http://dx.doi.org/10.5302/J.ICROS.2014.14.8021

H∞ Sampled-Data Control of Takagi-Sugeno Fuzzy System  

Kim, Do Wan (Department of Electrical Engineering, Hanbat National University)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.20, no.11, 2014 , pp. 1142-1146 More about this Journal
Abstract
This paper addresses on a $H_{\infty}$ sampled-data stabilization of a Takagi-Sugeno (T-S) fuzzy system. The sampled-data stabilization problem is formulated as a discrete-time stabilization one via a direct discrete-time design approach. It is shown that the sampled-data fuzzy control system is asymptotically stable whenever its exactly discretized model is asymptotically stable. Based on an exact discrete-time model, sufficient design conditions are derived in the format of linear matrix inequalities (LMIs). An example is provided to illustrate the effectiveness of the proposed methodology.
Keywords
T-S (Takagi-Sugeno) fuzzy model; $H_{\infty}$ control; sampled-data fuzzy control; direct discrete-time design; exact approach; LMI (Linear Matrix Inequality);
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