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H-infinity and H-2 memory static output-feedback control design for uncertain discrete-time linear systems

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Author(s):
Frezzatto, Luciano ; Oliveira, Ricardo C. L. F. ; Peres, Pedro L. D.
Total Authors: 3
Document type: Journal article
Source: IFAC PAPERSONLINE; v. 51, n. 25, p. 6-pg., 2018-01-01.
Abstract

This work investigates the problem of designing H-infinity and H-2 output-feedback controllers for discrete-time linear systems with time-invariant uncertainties. The proposed control law incorporates samples of the system output measurements over several instants of time, producing a controller with memory that can provide an improved performance to the closed-loop system. Sufficient parameter-dependent linear matrix inequality conditions are given for the computation of the gains associated with the incorporated measurements. A bound to the H-infinity or the H-2 norms of the closed-loop system is assured by means of a parameter-dependent Lyapunov matrix. Numerical examples illustrate the advantages of the proposed approach when compared to other methods from the literature, showing that better H-infinity and H-2 performance can be obtained by increasing the amount of information in the control law. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 13/05957-1 - Stability and control of dynamical systems: uncertainty, constraints and polynomial models
Grantee:Luciano Antonio Frezzatto Santos
Support Opportunities: Scholarships in Brazil - Doctorate
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: 17/01771-1 - Controller and filtering design for fuzzy systems and hybrid systems through LMIs: Applications and extensions
Grantee:Luciano Antonio Frezzatto Santos
Support Opportunities: Scholarships in Brazil - Post-Doctoral