Detector-based H-infinity results for discrete-time Markov jump linear systems with partial observations

Author(s)

Todorov, Marcos G. ^[1] ; Fragoso, Marcelo D. ^[1] ; do Valle Costa, Oswaldo Luiz ^[2]

Affiliation

^[1] Natl Lab Sci Comp LNCC MCTIC, Ave Getulio Vargas 333, BR-25651070 Petropolis, RJ - Brazil

^[2] Univ Sao Paulo, Escola Politecn, Dept Engn Telecomunicacoes & Controle, BR-05508900 Sao Paulo, SP - Brazil

• Document type: Journal article
• Source: AUTOMATICA; v. 91, p. 159-172, MAY 2018.
• Web of Science Citations: 12

Abstract

This paper features new results on H-infinity analysis and control of linear systems with Markov jump disturbances, in a scenario of partial observations of the jump process. We consider situations in which the jump process can only be measured through a suitable detector. The approach here is general enough to encompass particular scenarios such as that of perfect information and cluster observations of the Markov jump process. The first main result derived in the paper is a Bounded Real Lemma, which provides a method for the H-infinity, analysis of Markov jump linear systems subject to detector-based partial information, via linear matrix inequalities (LMIs). Besides the interest in its own right, the Bounded Real Lemma makes it possible for us to derive new methods for the design of H-infinity controllers in the considered scenario of partial observations. The proposed design is nonconservative in the scenario of complete information (thanks to a novel clusterization technique derived in this paper), as well as in the case of Bernoulli jumps. A numerical example, regarding the control of an unmanned aerial vehicle, illustrates the profits of our approach. (C) 2018 Elsevier Ltd. All rights reserved. (AU)

• FAPESP's process: 14/50851-0 - INCT 2014: National Institute of Science and Technology for Cooperative Autonomous Systems Applied in Security and Environment
• Grantee: Marco Henrique Terra
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 14/50279-4 - Brasil Research Centre for Gas Innovation
• Grantee: Julio Romano Meneghini
• Support Opportunities: Research Grants - Applied Research Centers Program