Optimized robust control invariance for linear discrete-time systems: Theoretical foundations
Automatica (Journal of IFAC)
Brief paper: The minimal disturbance invariant set: Outer approximations via its partial sums
Automatica (Journal of IFAC)
Dynamic modeling and control of supply chain systems: A review
Computers and Operations Research
An ellipsoidal off-line MPC scheme for uncertain polytopic discrete-time systems
Automatica (Journal of IFAC)
Survey paper: Set invariance in control
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Robust output feedback model predictive control of constrained linear systems
Automatica (Journal of IFAC)
Guaranteed cost control for multi-inventory systems with uncertain demand
Automatica (Journal of IFAC)
Enlargement of polytopic terminal region in NMPC by interpolation and partial invariance
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Enlarging the domain of attraction of MPC controllers
Automatica (Journal of IFAC)
Characterization of the solution to a constrained H∞ optimal control problem
Automatica (Journal of IFAC)
A fast ellipsoidal MPC scheme for discrete-time polytopic linear parameter varying systems
Automatica (Journal of IFAC)
An algorithm for robust explicit/multi-parametric model predictive control
Automatica (Journal of IFAC)
Hi-index | 22.17 |
This paper is concerned with the closed-loop control of discrete-time systems in the presence of uncertainty. The uncertainty may arise as disturbances in the system dynamics, disturbances corrupting the output measurements or incomplete knowledge of the initial state of the system. In all cases, the uncertain quantities are assumed unknown except that they lie in given sets. Attention is first given to the problem of driving the system state at the final time into a prescribed target set under the worst possible combination of disturbances. This is then extended to the problem of keeping the entire state trajectory in a given target ''tube''. Necessary and sufficient conditions for reachability of a target set and a target tube are given in the case where the system state can be measured exactly, while sufficient conditions for reachability are given for the case when only disturbance corrupted output measurements are available. An algorithm is given for the efficient construction of ellipsoidal approximations to the sets involved, and it is shown that this algorithm leads to linear control laws. The application of the results in this paper to pursuit-evasion games is also discussed.