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

• 成果类型: Article
• 署名作者: Costa, Oswaldo L. V.; de Oliveira, Andre M.
• 署名单位: Universidade de Sao Paulo; Universidade Federal de Sao Paulo (UNIFESP)
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3398557
• 发表日期: 2024
• 页码: 7877-7884
• 关键词: Transient analysis; Output feedback; Hidden Markov models; vectors; Upper bound; Numerical models; Aerospace electronics; Fault-tolerant; phase-type (PH) distributions; semi-Markov models; stochastic hybrid systems; stochastic optimal control problems; switching stability and control

摘要

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.