Work

Output‐Feedback H∞ Detector‐Based Control of Continuous‐Time Markov Jump Lur'e Systems With Sector‐Bound Optimization

Year: 2026

Type: article

Abstract: ABSTRACT This paper addresses the problem of dynamic output‐feedback detector‐based control for continuous‐time Markov Jump Lur'e Systems with uncertain transition rate matrices. In contrast to conventional approaches, the proposed synthesis conditions are derived using Finsler's lemma, introducing additional slack variables to facilitate the treatment of fixed‐order dynamic output‐feedback controllers, detector‐based control signals, parametric uncertainties affecting the transition rate matrices, and feedback of the nonlinearity value (when available). The design framework is expressed through LMI‐based algorithms, and the effectiveness and advantages of the proposed method are demonstrated via numerical experiments based on physically motivated models.

Source: International Journal of Robust and Nonlinear Control

DOI: 10.1002/rnc.70581

Authors: Lucas P. M. Silva, Cecilia F. Morais, Ricardo C. L. F. Oliveira

Institutions: Universidade Federal de Mato Grosso, Universidade Estadual de Campinas (UNICAMP)

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,270

Funders: Fundação de Amparo à Pesquisa do Estado de São Paulo, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico