Some Nonlinear Fractional-order Control Strategies
The purpose of this section is to present the consequences of combining fractional-order control (FOC) and sliding mode control (SMC) in two ways, taking into account the two components of the sliding mode design approach. So, FOC is introduced in SMC by using, on the one hand, fractional-order sliding surfaces or switching functions, and, on the other hand, control laws with fractional-order derivatives and integrals. For a clear illustration of the proposed control strategies, the well known double integrator is considered as the system to be controlled.
KeywordsSlide Mode Control Switching Function Reachability Condition Model Reference Adaptive Control Adjustment Rule
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