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A sliding mode control for linear fractional systems with input and state delays. (English) Zbl 1221.93048
Summary: 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.

MSC:
93B12 Variable structure systems
26A33 Fractional derivatives and integrals
Software:
CRONE
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