Reference governor for constrained uncertain linear systems subject to bounded input disturbances

A method is presented for designing robust reference governors for uncertain discrete-time linear systems in the presence of unknown but bounded input disturbances and pointwise-in-time input and/or state constraints. A reference governor is a nonlinear device which is added to a primal compensated linear system in order to modify, when necessary, the reference signal in such a way the constraints are enforced and the compensated system maintains its linear behaviour. The present solution extends previous results in various directions.

[1]  B. Barmish,et al.  The propagation of parametric uncertainty via polytopes , 1979 .

[2]  Michael Athans,et al.  Design of feedback control systems for stable plants with saturating actuators , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[3]  E. Gilbert,et al.  Optimal infinite-horizon feedback laws for a general class of constrained discrete-time systems: Stability and moving-horizon approximations , 1988 .

[4]  D. Mayne,et al.  Receding horizon control of nonlinear systems , 1990 .

[5]  K. T. Tan,et al.  Linear systems with state and control constraints: the theory and application of maximal output admissible sets , 1991 .

[6]  J. Rawlings,et al.  The stability of constrained receding horizon control , 1993, IEEE Trans. Autom. Control..

[7]  F. Blanchini Ultimate boundedness control for uncertain discrete-time systems via set-induced Lyapunov functions , 1994, IEEE Trans. Autom. Control..

[8]  Denis Arzelier,et al.  Robust stabilization of discrete-time linear systems with norm-bounded time-varying uncertainty , 1994 .

[9]  Ilya Kolmanovsky,et al.  Maximal output admissible sets for discrete-time systems with disturbance inputs , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[10]  K. T. Tan,et al.  Discrete‐time reference governors and the nonlinear control of systems with state and control constraints , 1995 .

[11]  Alberto Bemporad,et al.  Nonlinear predictive reference governor for constrained control systems , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[12]  Alberto Bemporad,et al.  A nonlinear command governor for constrained control systems , 1996 .