Static Output Energy-to-Peak Control for Semi-Markov Jump Linear Systems With Phase-Type Distributions and Hidden Modes

Author(s)

Costa, Oswaldo L. V. ; de Oliveira, Andre M.

• Document type: Journal article
• Source: IEEE Transactions on Automatic Control; v. 69, n. 11, p. 8-pg., 2024-11-01.

Abstract

This article studies the L-2-L-infinity (also known as energy-to-peak) static output feedback control for continuous-time semi-Markov jump systems, with the jump times modeled through phase-type distributions. It is also assumed that the post-jump state variable of the semi-Markov model is not directly accessible and the controller has only access to an observed process related to this variable. The goal is to provide sufficient conditions for the design of static output feedback controllers satisfying an upper bound on the L-2-L-infinity ratio in terms of linear matrix inequalities (LMIs). Moreover, in order to reduce the L-2-L-infinity upper bound ratio, a coordinate descent algorithm is also presented, starting from a feasible solution for the LMIs restrictions. Numerical examples are presented to illustrate the results. (AU)

• FAPESP's process: 21/13338-6 - Control and filtering of dynamic systems subject to abrupt and random variations
• Grantee: André Marcorin de Oliveira
• Support Opportunities: Regular Research Grants
• FAPESP's process: 20/15230-5 - Research Centre for Greenhouse Gas Innovation - RCG2I
• 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