Discrete-time output feedback quasi-sliding mode control for robust tracking and model following of uncertain systems

Robust output feedback sliding mode control for uncertain discrete time systems

“…As depicted in Figs. 14 and 15, the proposed method can tolerate this level of uncertainty well, with respect to the method of [21] (shown in Figs. 8 and 9), at large sampling periods.…”

“…The notations x k+1 , y k , x k , u k and u d k are also used [21] proposed a DT output feedback quasi-sliding mode control scheme for robust tracking and model following of linear systems. But the limitations for this paper which makes some difficulties in practical implementations are as follows: (1) It is implemented for uncertain systems satisfying matching conditions; (2) It is assumed that the rank(CB) = m. Zhang et al [22] studied the problem of stabilization of DT linear systems with matched disturbances using output feedback sliding mode controller.…”

“…Similar to [21,28], the requirement for the proposed controller to track output of the reference model (7) is the existence of G ∈ R (n+m)×n m and H ∈ R m×n m such that the following equation has a solution…”

“…The on-line (real-time) procedure for ROFSMC described in the above section is now implemented using (10), (11), (20), (21), (36) and (37). The control input signal is shown in Fig.…”

“…For this purpose, some researchers demand the use of observers or dynamic compensators. Pai [21] considered the problem of robust tracking and model following for an uncertain linear system by an output feedback quasi-sliding mode control scheme. Zhang et al [22] proposed an output-feedback SMC for a class of DT systems with matched disturbances.…”