A new methodology to compute stabilizing control laws for continuous-time LTV systems

Autor(es)

Agulhari, Cristiano M. ^[1] ; Garcia, Germain ^[2] ; Tarbouriech, Sophie ^[2] ; Peres, Pedro L. D. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Tecnol Fed Parana, BR-86300000 Cornelio Procopio, PR - Brazil

^[2] Univ Toulouse, CNRS, LAAS, Toulouse - France

^[3] Univ Estadual Campinas, Sch Elect & Comp Engn, Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL; v. 28, n. 13, p. 4045-4057, SEP 10 2018.
• Citações Web of Science: 1

Resumo

This paper is devoted to the problem of computing control laws for the stabilization of continuous-time linear time-varying systems. First, a necessary and sufficient condition to assess the stability of a linear time-varying system based on the norm of the transition matrix computed over a sequence of successive finite-time intervals is proposed. A link with a stability condition for an equivalent discrete-time model is also established. Then, 3 approaches for the computation of stabilizing state-feedback gains are proposed: a continuous-time technique, ie, directly derived from the stability condition, not suitable for numerical implementation; a method based on the stabilization of the discrete-time equivalent model along with a transformation to generate the desired continuous-time gain; and the computation of stabilizing gains for a set of periodic discrete-time systems. Finally, by adapting one of the existing methods for the stabilization of periodic discrete-time systems, an algorithm for the computation of a stabilizing state-feedback continuous-time gain is proposed. A numerical example illustrates the validity of the technique. (AU)

• Processo FAPESP: 08/08970-0 - Estudo de estabilidade, controle e filtragem de sistemas dinâmicos com parâmetros variantes no tempo
• Beneficiário: Cristiano Marcos Agulhari
• Modalidade de apoio: Bolsas no Brasil - Doutorado