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An LMI Approach to the Problem of Optimal Fuzzy Mixed H2/H_inf Tracking Control for T-S Systems
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Zahra Yousefi   , Said H. Esfahani * |
| Associate Professor, Department of Electrical Engineering, Faculty of Engineering, Shahrekord University, Shahrekord, Iran. , said_hoghoughi@yahoo.com |
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Abstract: (6586 Views) |
This paper is concerned with the problem of output feedback fuzzy mixed H2/H_inf tracking control design for nonlinear systems. A general and modified class of output-feedback controller structure is assumed. Using parallel distributed compensation, a fuzzy controller is proposed which not only satisfies an H_inf tracking control constraint, but also optimally minimizes a H2control performance measure. The proposed method leads to a trade-off between the tracking performance and the amount of control input effort. The problem formulation and the method of finding the optimal fuzzy tracking controller parameters involve a single step linear matrix inequalities form. On a benchmark example, the proposed method is applied on the inverted-pendulum system and is compared with traditional H_inf-only results from diffrent perspectives.
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| Keywords: T-S fuzzy systems, tracking control, Mixed, Linear matrix inequalities, Optimal control |
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Full-Text [PDF 523 kb]
(1152 Downloads)
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Type of Study: Research |
Subject:
LMI based Control Design
Received: 2019/10/11 | Accepted: 2021/04/28 | Published: 2022/01/19
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