On an LMI approach to optimal sampled-data state feedback control design

Author(s)

Geromel, Jose C. ^[1] ; Souza, Matheus ^[1]

Affiliation

^[1] Univ Campinas UNICAMP, Sch Elect & Comp Engn FEEC, Campinas, SP - Brazil

• Document type: Journal article
• Source: International Journal of Control; v. 88, n. 11, p. 2369-2379, NOV 2 2015.
• Web of Science Citations: 16

Abstract

The literature presents a large number of interesting and useful results on sampled-data systems. In this paper, we deal with control design problems for this class of systems following a different route. The novelty is that the optimal H-2 and H-infinity state feedback control design problems for sampled-data linear systems are solved in a unified and direct manner through linear matrix inequalities. To this purpose, the solution to a special two-point boundary value problem is used to verify the stability and to evaluate the performance of the closed-loop system. These results are then generalised to cope with non-uniform data rates. The theory is illustrated by means of simple examples borrowed from the literature. (AU)

• FAPESP's process: 12/02781-7 - Control and State Estimation of Networked Dynamical Systems
• Grantee: Matheus Souza
• Support Opportunities: Scholarships in Brazil - Doctorate