Reinaldo M. Palhares

Brief Robust filtering with guaranteed energy-to-peak performance - an LMI approach

The problem of robust energy-to-peak filtering for linear systems with convex bounded uncertainties is investigated in this paper. The main purpose is to design a full order stable linear filter that minimizes the worst-case peak value of the filtering error output signal with respect to all bounded energy inputs, in such a way that the filtering error system remains quadratically stable. Necessary and sufficient conditions are formulated in terms of linear Matrix Inequalities - LMIs, for both continuous- and discrete-time cases.

Robust H∞ filter design for uncertain linear systems with multiple time-varying state delays

The problem of robust H∞ filtering for continuous-time uncertain linear systems with multiple time-varying delays in the state variables is investigated in this paper. The uncertain parameters are supposed to belong to a given convex bounded polyhedral domain. The aim is to design a stable linear filter assuring asymptotic stability and a prescribed H∞ performance level for the filtering error system, irrespective of the uncertainties and the time delays. Sufficient conditions for the existence of such a filter are established in terms of linear matrix inequalities, which can be efficiently solved by means of powerful convex programming tools with global convergence assured. An example illustrates the proposed methodology.

ℋ∞and ℋ2 guaranteed costs computation for uncertain linear systems

Abstract This paper proposes an LMls characterization of guaranteed ℋ∞ and ℋ2 norms costs for linear systems with convex bounded parameter uncertainties. Both continuous-time and discrete-time systems are addressed.

Robust /spl Hscr//sub /spl infin// filtering for uncertain discrete-time state-delayed systems

This paper addresses the problem of robust /spl Hscr//sub /spl infin// filtering for linear discrete-time systems subject to parameter uncertainties in the system state-space model and with multiple time delays in the state variables. The uncertain parameters are supposed to belong to a given convex bounded polyhedral domain. A methodology is developed to design a stable linear filter that assures asymptotic stability and a prescribed /spl Hscr//sub /spl infin// performance for the filtering error, irrespective of the uncertainty and the time delays. The proposed design is given in terms of linear matrix inequalities, which has the advantage in that it can be implemented numerically very efficiently.

H/sub 2//H/sub /spl infin// filter design for systems with polytope-bounded uncertainty

This correspondence presents a strategy for robust H2/H infin filtering design, with regional pole placement, applied to discrete- or continuous-time linear time-invariant (LTI) systems with polytope-bounded uncertainty. To overcome the conservatism of linear matrix inequality (LMI)-based formulations, the proposed design approach is based on a multiobjective optimization algorithm applied directly in the space of the filter parameters. The H2 and Hinfin norms, computed in all polytope vertices and in possible worst case interior points, are taken as the optimization objectives. A combination of branch-and-bound algorithm and LMI guaranteed cost formulations is applied to compute the coordinates of the worst case norms and to validate the filter design to the whole polytope. Examples are presented to illustrate the effectiveness of the proposed strategy

Robust H∞ Filtering for Linear Continuous-Time Uncertain Systems With Multiple Delays: An LMI Approach

Abstract The problem of robust H ∞ filter design for uncertain continuous-time linear systems with multiple time-delayed states is addressed in this paper. The uncertainties are assumed to belong to convex bounded domains (polytope type uncertainty) and the time delays are supposed to be constant. Delay-independent as well as delay-dependent stability conditions assuring robust stability and a prescribed H ∞ disturbance attenuation for the filtering error system are established, in both cases, in terms of linear matrix inequalities, which can be efficiently solved by standard optimization procedures with global convergence assured. Two illustrative examples are analyzed.

Robust H∞ filter design with pole constraints for discrete-time systems

AbstractThe problem of full-order guaranteed cost H 1 filtering design for discrete-time systemswith polytope type uncertainty is investigated in this paper. The main purpose is to obtain astable and proper linear filter such that the filtering error system remains robustly stable withina prespecified H 1 attenuation level. Su†cient conditions for the existence of such robust filterare provided in terms of linear matrix inequalities, which can be e†ciently solved by means ofhigh-performance convex optimization procedures with global convergence assured. More-over, as an improvement, the filter dynamics can be constrained to some specific regions insidethe unit open disk. # 2000 The Franklin Institute. Published by Elsevier Science Ltd.All rights reserved. Keywords: Robust filtering; H 1 filtering; Linear matrix inequalities; Pole location constraint; Discrete-time systems 1. IntroductionDuring the last decades, the extensive use of optimization criteria like the H 2 and/or the H 1 norms has consolidated the importance of estimation and filtering inlinear systems theory. As a matter of fact, the techniques for filtering design have

FURTHER RESULTS ON MASTER-SLAVE SYNCHRONIZATION OF GENERAL LUR'E SYSTEMS WITH TIME-VARYING DELAY

In this paper, a new approach to analyze the asymptotic, exponential and robust stability of the master-slave synchronization for Lure systems using time-varying delay feedback control is proposed...

ROBUST

This paper deals with the problems of stability analysis and control synthesis with

\mathcal{H}_{\infty}

mathcal{H}_{infty}