Mixed H-2/H-infinity State Feedback Control for Markov Jump Linear Systems with Hidden Observations

Author(s)

de Oliveira, Andre Marcorin ; do Valle Costa, Oswaldo Luiz

• Document type: Journal article
• Source: IFAC PAPERSONLINE; v. 50, n. 1, p. 6-pg., 2017-01-01.

Abstract

In the present work, we study the mixed H-2/H-infinity state feedback control for Markov jump linear systems through a detector approach. It is considered that the Markov parameter theta(k) is not available to the controller, but instead there is an estimation (theta) over cap (k) given by a detector. Conditions for the synthesis of controllers that depend only on (theta) over cap (k) and stochastically stabilize the system while providing upper bounds for the H-2 and H-infinity norms are given in terms of linear matrix inequalities. The results are illustrated by a numerical example. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. (AU)

• FAPESP's process: 15/09912-8 - Estimating and control of Markov jump linear systems with partial observation of the operation mode
• Grantee: André Marcorin de Oliveira
• Support Opportunities: Scholarships in Brazil - Doctorate
• FAPESP's process: 14/50279-4 - Brasil Research Centre for Gas Innovation
• Grantee: Julio Romano Meneghini
• Support Opportunities: Research Grants - Research Centers in Engineering Program
• 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