Robust time-optimal control of constrained linear systems
Automatica (Journal of IFAC)
(A,B)-invariant polyhedral sets of linear discrete-time systems
Journal of Optimization Theory and Applications
Survey paper: Set invariance in control
Automatica (Journal of IFAC)
The explicit linear quadratic regulator for constrained systems
Automatica (Journal of IFAC)
Brief Doubly invariant equilibria of linear discrete-time games
Automatica (Journal of IFAC)
On the minimax reachability of target sets and target tubes
Automatica (Journal of IFAC)
Homothetic tube model predictive control
Automatica (Journal of IFAC)
Proceedings of the 2nd ACM international conference on High confidence networked systems
Hi-index | 22.15 |
This paper introduces the concept of optimized robust control invariance for discrete-time linear time-invariant systems subject to additive and bounded state disturbances. A novel characterization of two families of robust control invariant sets is given. The existence of a constraint admissible member of these families can be checked by solving a single and tractable convex programming problem in the generic linear-convex case and a standard linear/quadratic program when the constraints are polyhedral or polytopic. The solution of the same optimization problem yields the corresponding feedback control law that is, in general, set-valued. A procedure for selection of a point-valued, nonlinear control law is provided.