Fuzzy tracking control based on H∞performance for nonlinear systems

Authors:
Trihastuti Agustinah;Achmad Jazidie;Mohammad Nuh
Affiliations:
Electrical Engineering Department, Institut Teknologi Sepuluh Nopember, Kampus ITS Sukolilo, Surabaya, Indonesia;Electrical Engineering Department, Institut Teknologi Sepuluh Nopember, Kampus ITS Sukolilo, Surabaya, Indonesia;Electrical Engineering Department, Institut Teknologi Sepuluh Nopember, Kampus ITS Sukolilo, Surabaya, Indonesia
Venue:
WSEAS Transactions on Systems and Control
Year:
2011

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Abstract

This paper presents a fuzzy tracking control design based on H∞ performance for nonlinear systems. The Takagi-Sugeno fuzzy model is employed to approximate a nonlinear system. Based on the H∞ tracking performance, the nonlinear system output is controlled to track a reference signal, and at the same time the tracking performance is attenuated to a prescribed level. Linear matrix inequalities (LMI) techniques are used to solve the fuzzy tracking control problem. The proposed method has been applied to control of a laboratory pendulum-cart system. Hence, the performance has been evaluated in simulations as well as in real-time control.