| Full text | |
| Author(s): |
Total Authors: 4
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| Affiliation: | [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
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL; v. 28, n. 13, p. 4045-4057, SEP 10 2018. |
| Web of Science Citations: | 1 |
| Abstract | |
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) | |
| FAPESP's process: | 08/08970-0 - Stability analysis, control and filter design for dynamic systems with time-varying parameters |
| Grantee: | Cristiano Marcos Agulhari |
| Support Opportunities: | Scholarships in Brazil - Doctorate |