On the control of Markov jump linear systems with no mode observation: application to a DC Motor device

Author(s)

Vargas, Alessandro N. ; Costa, Eduardo F. ; do Val, Joao B. R.

• Document type: Journal article
• Source: INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL; v. 23, n. 10, p. 15-pg., 2013-07-10.

Abstract

This paper deals with the control problem of discrete-time Markov jump linear systems for the case in which the controller does not have access to the state of the Markov chain. A necessary optimal condition, which is nonlinear with respect to the optimizing variables, is introduced, and the corresponding solution is obtained through a variational convergent method. We illustrate the practical usefulness of the derived approach by applying it in the control speed of a real DC Motor device subject to abrupt power failures. Copyright (C) 2012 John Wiley & Sons, Ltd. (AU)

• FAPESP's process: 03/06736-7 - Control and filtering of Markovian jumping parameters stochastic systems
• Grantee: João Bosco Ribeiro do Val
• Support Opportunities: Research Projects - Thematic Grants