期刊
ISA TRANSACTIONS
卷 63, 期 -, 页码 1-10出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.isatra.2016.02.015
关键词
Nonlinear fractional-order systems; Observability; Left invertibility; Sliding mode observers; Fault detection and estimation; Lyapunov stability
The main purpose of this paper is twofold. First, the observability and the left invertibility properties and the observable canonical form for nonlinear fractional-order systems are introduced. By using a transformation, we show that these properties can be deduced from an equivalent nonlinear integer-order system. Second, a step by step sliding mode observer for fault detection and estimation in nonlinear fractional-order systems is proposed. Starting with a chained fractional-order integrators form, a step by step first-order sliding mode observer is designed. The finite time convergence of the observer is established by using Lyapunov stability theory. A numerical example is given to illustrate the performance of the proposed approach. (C) 2016 ISA. Published by Elsevier Ltd. All rights reserved.
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