Finite-horizon Suboptimal Control of Markov Jump Linear Parameter-Varying Systems.

This paper presents a strategy to compute a suboptimal solution to the finite-horizon linear-quadratic control problem for Markov jump linear parameter-varying systems. The system parameters depend not only on a Markov chain but also on linear parameter-varying elements that take values in convex polytopic sets. The suboptimal approach represents an attempt towards solving the optimal control problem that remains unsolved in the literature. Illustrating that such a suboptimal approach can be of interest when solving practical control problems. Experimental results on the control of an automotive throttle valve subject to failures driven by a Markov chain are discussed, thus supporting the usefulness of the theoretical findings.