| Full text | |
| Author(s): |
Bertolin, Ariadne L. J.
;
Oliveira, Ricardo C. L. F.
;
de Oliveira, Mauricio C.
;
Peres, Pedro L. D.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | IFAC PAPERSONLINE; v. 51, n. 26, p. 6-pg., 2018-01-01. |
| Abstract | |
This paper revisits the problem of testing the robust stability of discrete-time linear systems with arbitrarily fast time-varying parameters, which includes the important class of switched discrete time linear systems with arbitrary switching. By exploring the redundant description of the state space equations, sufficient linear matrix inequality (LMI) conditions of distinct complexities assuring robust stability are given in terms of the number kappa - 1 of redundant equations. As kappa >= 1 increases, the conditions become also asymptotically necessary. Numerical examples borrowed from the literature illustrate that the proposed conditions can be computationally less demanding than other convergent relaxations. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. (AU) | |
| FAPESP's process: | 17/18785-5 - Parameter-Dependent Linear Matrix Inequalities Applied to Stability Analysis and Synthesis of Controllers and Filters for Uncertain Dynamic Systems |
| Grantee: | Pedro Luis Dias Peres |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 16/22020-1 - Robust stability of uncertain time-varying discrete-time systems by means of linear matrix inequalities |
| Grantee: | Ariádne de Lourdes Justi Bertolin |
| Support Opportunities: | Scholarships in Brazil - Master |