Performance evaluation of sampled-data control of Markov jump linear systems

Author(s)

Gabriel, Gabriela W. ^[1] ; Geromel, Jose C. ^[1]

Affiliation

^[1] Univ Campinas UNICAMP, Sch Elect & Comp Engn FEEC, Campinas, SP - Brazil

• Document type: Journal article
• Source: AUTOMATICA; v. 86, p. 212-215, DEC 2017.
• Web of Science Citations: 5

Abstract

This technical communique extends the recent results of Geromel and Gabriel (2015) to H-infinity, sampled data control design of Markov jump linear systems (MJLS). It fulfills a lack of a specific necessary and sufficient result in the literature of sampled-data control of MJLS in the context of H-infinity performance. Mean square stabilizability and performance determination are addressed and discussed in a unified theoretical viewpoint. As a natural consequence, it is shown that the previous result of Geromel and Gabriel (2015) is obtained as a particular case. A globally uniformly convergent algorithm is proposed to solve the design conditions. The theory is illustrated by means of an example. (C) 2017 Elsevier Ltd. All rights reserved. (AU)

• FAPESP's process: 16/06343-5 - Unified Theory for Sampled-Data Control of Hybrid Dynamic Systems
• Grantee: Gabriela Werner Gabriel
• Support Opportunities: Scholarships in Brazil - Post-Doctoral