Robust Adaptive SMC for Uncertain DOSs

Abstract

Robustness of a control system is very important since there exist many various uncertainties in practical application. In the theory of robust control, it has been frequently encountered in several class of systems which include NCSs [66, 68], quantized control systems [67], discrete singular hybrid systems [264], input delay systems [289, 291], state delay systems [12, 74, 75, 88] and so on. Goodwin constructed delta operator instead of traditional shift operator for sampling continuous systems [82]. The model parameters in DOS will approach to the ones in continuous system as sampling period approach to zero, so as control results [54]. It has been shown better numerical properties by using delta operator than using shift operator at high sampling rates in [219]. The robustness problem for DOSs with parametric uncertainties was first presented in [215]. Traditionally, SMC as a general design tool for robust control systems has been gained much attention. The problems of SMC for linear systems with time delays have been investigated in [211, 254, 259, 260] and so on.