| Full text | |
| Author(s): |
Braga, Marcio F.
;
Morais, Cecilia F.
;
Tognetti, Eduardo S.
;
Oliveira, Ricardo C. L. F.
;
Peres, Pedro L. D.
Total Authors: 5
|
| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL; v. 26, n. 11, p. 2299-2313, JUL 25 2016. |
| Web of Science Citations: | 2 |
| Abstract | |
This paper investigates the problem of designing robust linear quadratic regulators for uncertain polytopic continuous-time systems over networks subject to delays. The main contribution is to provide a procedure to determine a discrete-time representation of the weighting matrices associated to the quadratic criterion and an accurate discretized model, in such a way that a robust state feedback gain computed in the discrete-time domain assures a guaranteed quadratic cost to the closed-loop continuous-time system. The obtained discretized model has matrices with polynomial dependence on the uncertain parameters and an additive norm-bounded term representing the approximation residual error. A strategy based on linear matrix inequality relaxations is proposed to synthesize, in the discrete-time domain, a digital robust state feedback control law that stabilizes the original continuous-time system assuring an upper bound to the quadratic cost of the closed-loop system. The applicability of the proposed design method is illustrated through a numerical experiment. Copyright (C) 2015 John Wiley \& Sons, Ltd. (AU) | |
| FAPESP's process: | 14/22881-1 - Control of switched systems, Markov jump linear systems and other classes of hybrid systems through LMIs |
| Grantee: | Cecília de Freitas Morais |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 14/25112-9 - Optimal control and filtering of discretized polytopic systems |
| Grantee: | Marcio Feliciano Braga |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |