A delay-dependent approach to robust generalized H2 filtering for uncertain continuous-time systems with interval delay

Authors:
Xianwei Li;Huijun Gao
Affiliations:
Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150080, Heilongjiang Province, China;Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150080, Heilongjiang Province, China and State Key Laboratory of Urban Water Resources and Environment ...
Venue:
Signal Processing
Year:
2011

Citing 15
Cited 0

The generalized H2 control problem

Automatica (Journal of IFAC)
Robust H∞ -filtering design with pole placement constraint via linear matrix inequalities

Journal of Optimization Theory and Applications
Delay-dependent generalized H2 filtering for uncertain systems with multiple time-varying state delays

Signal Processing
Technical communique: Delay-range-dependent stability for systems with time-varying delay

Automatica (Journal of IFAC)
Technical communique: Observer-based H∞ fuzzy control design for T-S fuzzy systems with state delays

Automatica (Journal of IFAC)
Delay-dependent H∞ filtering of a class of switched discrete-time state delay systems

Signal Processing
Improved robust energy-to-peak filtering for uncertain linear systems

Signal Processing
Robust H2/H∞ filtering for linearsystems with error variance constraints

IEEE Transactions on Signal Processing
Robust filtering for a class of stochastic uncertain nonlineartime-delay systems via exponential state estimation

IEEE Transactions on Signal Processing
An improved delay-dependent H∞ filtering of linear neutral systems

IEEE Transactions on Signal Processing
Robust H∞ filtering for discrete-time linear systems with uncertain time-varying parameters

IEEE Transactions on Signal Processing - Part I
Robust ℋ∞ filtering for uncertaindiscrete-time state-delayed systems

IEEE Transactions on Signal Processing
Time-delay systems: an overview of some recent advances and open problems

Automatica (Journal of IFAC)
Brief Robust filtering with guaranteed energy-to-peak performance - an LMI approach

Automatica (Journal of IFAC)
A Unified Approach to the Stability of Generalized Static Neural Networks With Linear Fractional Uncertainties and Delays

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Quantified Score

Hi-index	0.08

Visualization

Abstract

This paper is interested in the problem of robust generalized H"2 (GH"2) filtering for uncertain continuous-time systems with a delay in the state and polytopic uncertainty in system matrices. The delay is assumed to vary in an interval with a nonzero lower bound. Based on a new Lyapunov-Krasovskii functional (LKF), by virtue of free-weighting matrix method and the projection lemma, a new sufficient condition for analyzing the robust GH"2 performance of the filtering error system is first derived, and then by employing a simple linearization procedure, a new design method is proposed in terms of a set of linear matrix inequalities. Since no useful term is neglected in estimating the upper bound of the derivative of the LKF and the lower bound of the delay is included in the obtained conditions, the results in the paper are much less conservative than the open ones, which is finally illustrated by a numerical example.