Preview Saturated Control for Uncertain Periodic Discrete-Time Systems
This paper considers the problem of preview saturated control for uncer-tain periodic discrete-time systems with actuator saturation.The classical difference operator method in preview control theory can not be applied due to the existence of time-varying uncertain matrix and input saturation.The state auxiliary variable is introduced and the usual state difference is replaced by the the difference between the state vector and the state auxiliary variable.Therefore,the augmented error system of uncertain discrete system with input saturation is successfully constructed.By constructing the augmented model,the problem of designing the preview saturation controller of the original system is transformed into the problem of stabilization of the augmented error system.A sufficient condition for the asymptotic stability of the closed-loop system is derived by using the improved sector condition to deal with the saturation nonlinearity and the LMI technique.Finally,a simulation example is given to illustrate the validity of the results.
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