Lectures on modern convex optimization: analysis, algorithms, and engineering applications
Lectures on modern convex optimization: analysis, algorithms, and engineering applications
Adjustable robust solutions of uncertain linear programs
Mathematical Programming: Series A and B
Brief paper: The minimal disturbance invariant set: Outer approximations via its partial sums
Automatica (Journal of IFAC)
Brief paper: Constrained linear system with disturbance: Convergence under disturbance feedback
Automatica (Journal of IFAC)
Survey Constrained model predictive control: Stability and optimality
Automatica (Journal of IFAC)
Optimization over state feedback policies for robust control with constraints
Automatica (Journal of IFAC)
Robust solutions of uncertain linear programs
Operations Research Letters
Brief paper: Distributed model predictive control of dynamically decoupled systems with coupled cost
Automatica (Journal of IFAC)
Convexity and convex approximations of discrete-time stochastic control problems with constraints
Automatica (Journal of IFAC)
Hi-index | 22.15 |
This paper shows new convergence properties of constrained linear discrete time system with bounded disturbances under Model Predictive Control (MPC) law. The MPC control law is obtained using an affine disturbance feedback parametrization with an additional linear state feedback term. This parametrization has the same representative ability as some recent disturbance feedback parametrization, but its choice together with an appropriate cost function results in a different closed-loop convergence property. More exactly, the state of the closed-loop system converges to a minimal invariant set with probability one. Deterministic convergence to the same minimal invariant set is also possible if a less intuitive cost function is used. Numerical experiments are provided that validate the results.