Non-fragile observer-based robust control for a class of fractional-order nonlinear systems |
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Authors: | Yong-Hong Lan Yong Zhou |
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Affiliation: | 1. School of Information Engineering, Xiangtan University, Xiangtan, Hunan 411105, PR China;2. Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, Xiangtan University, Hunan 411105, PR China;3. School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411105, PR China |
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Abstract: | The paper is concerned with the problem of the observer-based robust control for a class of fractional-order nonlinear systems. First, by introducing a continuous frequency distributed equivalent model and using indirect Lyapunov approach, the sufficient condition for robust asymptotic stability of the closed-loop system via state observer-based control is presented, which is less conservative than some existing ones in recent literature. Next, using matrix’s singular value decomposition (SVD) and linear matrix inequality (LMI) techniques, the existence condition and method of designing a robust non-fragile observer-based controller are derived. Finally, the validity of the proposed methods are demonstrated by two numerical examples. |
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Keywords: | Fractional-order nonlinear system Observer-based control Singular value decomposition (SVD) Linear matrix inequality (LMI) |
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