By means of the feasibility of some linear matrix inequalities(LMIs),delay dependent sufficient condition is derived for the existence of a linear sliding surface,which guarantees quadratic stability of the reduced-or...By means of the feasibility of some linear matrix inequalities(LMIs),delay dependent sufficient condition is derived for the existence of a linear sliding surface,which guarantees quadratic stability of the reduced-order equivalent system restricted to the sliding surface.And a reaching motion controller is proposed.A numerical simulation shows the effectiveness of the approach.展开更多
A discrete observer-based repetitive control(RC) design method for a linear system with uncertainties was presented based on two-dimensional(2D) system theory. Firstly, a 2D discrete model was established to describe ...A discrete observer-based repetitive control(RC) design method for a linear system with uncertainties was presented based on two-dimensional(2D) system theory. Firstly, a 2D discrete model was established to describe both the control behavior within a repetition period and the learning process taking place between periods. Next, by converting the designing problem of repetitive controller into one of the feedback gains of reconstructed variables, the stable condition was obtained through linear matrix inequality(LMI) and also the gain coefficient of repetitive system. Numerical simulation shows an exceptional feasibility of this proposal with remarkable robustness and tracking speed.展开更多
基金National Natural Science Foundation of China(No.60574081)
文摘By means of the feasibility of some linear matrix inequalities(LMIs),delay dependent sufficient condition is derived for the existence of a linear sliding surface,which guarantees quadratic stability of the reduced-order equivalent system restricted to the sliding surface.And a reaching motion controller is proposed.A numerical simulation shows the effectiveness of the approach.
基金Project(61104072) supported by the National Natural Science Foundation of China
文摘A discrete observer-based repetitive control(RC) design method for a linear system with uncertainties was presented based on two-dimensional(2D) system theory. Firstly, a 2D discrete model was established to describe both the control behavior within a repetition period and the learning process taking place between periods. Next, by converting the designing problem of repetitive controller into one of the feedback gains of reconstructed variables, the stable condition was obtained through linear matrix inequality(LMI) and also the gain coefficient of repetitive system. Numerical simulation shows an exceptional feasibility of this proposal with remarkable robustness and tracking speed.
