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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

New robust LMI synthesis conditions for mixed H2/H infinity gain-scheduled reduced-order DOF control of discrete-time LPV systems

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Author(s):
Rosa, Tabitha E. [1] ; Morais, Cecilia F. [2] ; Oliveira, Ricardo C. L. F. [2]
Total Authors: 3
Affiliation:
[1] Univ Groningen, Fac Sci & Engn, Groningen - Netherlands
[2] Univ Estadual Campinas, Sch Elect & Comp Engn, BR-13083852 Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL; v. 28, n. 18, p. 6122-6145, DEC 1 2018.
Web of Science Citations: 0
Abstract

This paper investigates the problems of stabilization and mixed H2/H infinity reduced-order dynamic output-feedback control of discrete-time linear systems. The synthesis conditions are formulated in terms of parameterdependent linear matrix inequalities (LMIs) combined with scalar parameters, dealing with state-space models where the matrices depend polynomially on time-varying parameters and are affected by norm-bounded uncertainties. The motivation to handle these models comes from the context of networked control systems, particularly when a continuous-time plant is controlled by a digitally implemented controller. The main technical contribution is a distinct LMI-based condition for the dynamic output-feedback problem, allowing an arbitrary structure (polynomial of arbitrary degree) for the measured output matrix. Additionally, an innovative heuristic is proposed to reduce the conservativeness of the stabilization problem. Numerical examples are provided to illustrate the potentialities of the approach to cope with several classes of discrete-time linear systems (time-invariant and time-varying) and the efficiency of the proposed design conditions when compared with other methods available in the literature. (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 type: Regular Research Grants
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 type: Scholarships in Brazil - Post-Doctorate