Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 14, Issue 5, Pages 2310-2318Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2008.05.011
Keywords
Fractional order system; Fractional sliding manifold; Sliding mode; Stability; Time-delay systems
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In this paper, a sliding mode control design for fractional order systems with input and state time-delay is proposed. First, we consider a fractional order system without delay for which a sliding Surface is proposed based on fractional integration of the state. Then, a stabilizing switching controller is derived. Second, a fractional system with state delay is considered. Third, a strategy including a fractional state predictor input delay compensation is developed. The existence of the sliding mode and the stability of the proposed control design are discussed. Numerical examples are given to illustrate the theoretical developments. (C) 2008 Elsevier B.V. All rights reserved.
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