Derivative Feedback Control for a Class of Uncertain Linear Systems Subject to Actuator Saturation

Autor(es)

Wolmuth, Leidy Diane ^[1] ; Lendzion Tomaz Alves, Uiliam Nelson ^[2] ; Minhoto Teixeira, Marcelo Carvalho ^[3] ; Assuncao, Edvaldo ^[3] ; Cardim, Rodrigo ^[3] ; Moreira, Manoel Rodrigo ^[4]

Afiliação do(s) autor(es)

^[1] UFMT Fed Univ Mato Grosso, ICET, Dept Math, BR-78060900 Cuiaba, MT - Brazil

^[2] IFPR Fed Inst Educ Sci & Technol Parana, Campus Jacarezinho, BR-86400000 Jacarezinho, PR - Brazil

^[3] Sao Paulo State Univ UNESP, Sch Engn Ilha Solteira, Jose Carlos Rossi Ave, 1370, Ilha Solteira, BR-15385000 Ilha Solteira, SP - Brazil

^[4] IFMT Fed Inst Educ Sci & Technol Mato Grosso, Campus Barra do Garcas, BR-78600000 Barra Do Garcas, MG - Brazil

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS; v. 30, n. 4, p. 490-500, AUG 2019.
• Citações Web of Science: 0

Resumo

This manuscript considers a class of linear systems with time-invariant uncertainties, where only the derivative of the state vector is considered for feedback. In this scenario, the proposed strategy uses auxiliary dynamics, whose state is accessible for feedback, to control the original plant. It is proposed a design procedure by means of linear matrix inequalities, adding an auxiliary dynamics and subject to actuator saturation. If the conditions are feasible, they assure that the equilibrium point of the closed-loop system is locally asymptotically stable, for all initial conditions in an ellipsoidal region, which is within a given region defined for the plant and the new dynamics. Although the proposed design includes an auxiliary dynamics, it ensures the stability and decay rate proprieties for the original plant. Simulations examples illustrate the effectiveness of the proposed approach. (AU)

• Processo FAPESP: 11/17610-0 - Monitoramento e controle de sistemas dinâmicos sujeitos a falhas
• Beneficiário: Roberto Kawakami Harrop Galvão
• Modalidade de apoio: Auxílio à Pesquisa - Temático