| Full text | |
| Author(s): |
Bertolin, Ariadne L. J.
;
Peres, Pedro L. D.
;
Oliveira, Ricardo C. L. F.
;
IEEE
Total Authors: 4
|
| Document type: | Journal article |
| Source: | 2019 AMERICAN CONTROL CONFERENCE (ACC); v. N/A, p. 6-pg., 2019-01-01. |
| Abstract | |
This paper is concerned with the problems of robust stability analysis and computation of H-2 or H-infinity (l(2)-gain) guaranteed costs for discrete-time linear systems with time-varying parameters. Two cases are investigated: i) the time-varying parameters are assumed to belong to a known interval and to have bounded rates of variation; ii) the time-varying parameters follow a known dynamics that can be represented through a discrete-time state space equation. A Lyapunov function that depends on the uncertain matrix of the system up to a certain degree kappa - 1 provides certificates for robust stability and guaranteed costs that can be cast as linear matrix inequality optimization problems, with sharper results as k increases. Numerical examples illustrate that the proposed conditions can be more accurate than other techniques from the literature with lower complexity. (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 |