This paper is concerned with switching model predictive control (SMPC) for continuous-time Markovianjump delay systems (MJDSs). First, a piecewise constant switching predictive controller, which only depends onthe average dwell time (ADT) switching laws rather than the jumping modes, is obtained by employing the ADTapproach under the infinite-time predictive control design framework . Such a control strategy is proposed to make atrade-off between robustness and adaptivity when the design complexity of mode-independent and mode-dependentMPC is considered. It is revealed that the SMPC can deal with MJDSs with both time varying and time invariantjump rates and cover the mode-independent MPC as a special cease. Second, the feasibility of the SMPC schemeand the mean square stability of the closed-loop MJDS are discussed by using the stochastic invariance of theellipsoid set over each sampling period. A numerical example is given to illustrate the main results.
This paper is concerned with switching model predictive control (SMPC) for continuous-time Markovianjump delay systems (MJDSs). First, a piecewise constant switching predictive controller, which only depends onthe average dwell time (ADT) switching laws rather than the jumping modes, is obtained by employing the ADTapproach under the infinite-time predictive control design framework . Such a control strategy is proposed to make atrade-off between robustness and adaptivity when the design complexity of mode-independent and mode-dependentMPC is considered. It is revealed that the SMPC can deal with MJDSs with both time varying and time invariantjump rates and cover the mode-independent MPC as a special cease. Second, the feasibility of the SMPC schemeand the mean square stability of the closed-loop MJDS are discussed by using the stochastic invariance of theellipsoid set over each sampling period. A numerical example is given to illustrate the main results.