Title :
Robust Stability Analysis of Nonlinear Discrete-Time Systems With Application to MPC
Author :
Picasso, Bruno ; Desiderio, Delia ; Scattolini, Riccardo
Author_Institution :
Dipt. di Elettron. e Inf., Politec. di Milano, Milan, Italy
Abstract :
The regional Input-to-State Stability of nonlinear, possibly discontinuous, discrete-time systems is studied under the assumption that the equilibrium of the corresponding nominal model is asymptotically stable. The obtained results are used for the synthesis of a nominal Model Predictive Control law ensuring inherent robustness. A numerical example is reported that witnesses the effectiveness of the approach.
Keywords :
asymptotic stability; control system synthesis; discrete time systems; nonlinear control systems; predictive control; robust control; sampled data systems; MPC; asymptotically stable; discontinuous systems; inherent robustness; input-to-state stability; nominal model predictive control law; nonlinear discrete-time systems; robust stability analysis; Additives; Equations; Lyapunov methods; Mathematical model; Robust stability; Robustness; Stability analysis; Discontinuous systems; input-to-state stabilization; model predictive control (MPC);
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2011.2163363
