Full‐Order and Reduced‐order Observer Design for a Class of Fractional‐order Nonlinear Systems |
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| Authors: | Yong‐Hong Lan Liang‐Liang Wang Lei Ding Yong Zhou |
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| Affiliation: | 1. Institute of Control Engineering, Xiangtan University, Hunan 411105, China;2. School of Physics Science and Information Engineering, Jishou University, Hunan, China;3. School of Mathematics and Computational Science, Xiangtan University, Hunan 411105, China |
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| Abstract: | The paper is concerned with problem of the full‐order and reduced‐order observer design for a class of fractional‐order one‐sided Lipschitz nonlinear systems. By introducing a continuous frequency distributed equivalent model and using indirect Lyapunov approach, the sufficient condition for asymptotic stability of the full‐order observer error dynamic system is presented. Furthermore, the proposed design method was extended to reduced‐order observer design for fractional‐order nonlinear systems. All the stability conditions are obtained in terms of LMI, which are less conservative than some existing ones. Finally, a numerical example demonstrates the validity of this approach. |
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| Keywords: | Fractional‐order nonlinear system observer design indirect Lyapunov approach linear matrix inequality (LMI) |
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