Constrained time-optimal control of linear parameter-varying systems

Abstract— For linear and hybrid systems, constrained timeoptimal control was shown to be a low complexity alternative to the explicit solution of the constrained finite-time-optimal control problem. In this paper we show how P´olya’s relaxation can be employed to compute minimum-time controllers for discrete-time LPV systems. Contrary to previous publications, our approach allows the use of parameter-varying input matrices. In a comparison over 20 random system, it is shown that compared to explicit LPV-MPC the proposed approach achieves similar or even better control performance, while reducing the complexity of the resulting controller up to an order of magnitude.

• Type: Conference
• Year: 2009
• Where: CDC
• Authors: Thomas Besselmann, Johan Löfberg, Manfred Morari
• Keywords: Abstract— For Linear, CDC 2009, Constrained finite-time-optimal Control, Control Systems, Low Complexity Alternative