RobustH∞filtering for networked systems with multiple state delays
- 1 August 2007
- journal article
- research article
- Published by Informa UK Limited in International Journal of Control
- Vol. 80 (8), 1217-1232
- https://doi.org/10.1080/00207170701196968
Abstract
In this paper, a new robust H ∞ filter design problem is studied for a class of networked systems with multiple state-delays. Two kinds of incomplete measurements, namely, measurements with random delays and measurements with stochastic missing phenomenon, are simultaneously considered. Such incomplete measurements are induced by the limited bandwidth of communication networks, and are modelled as a linear function of a certain set of indicator functions that depend on the same stochastic variable. Attention is focused on the analysis and design problems of a full-order robust H ∞ filter such that, for all admissible parameter uncertainties and all possible incomplete measurements, the filtering error dynamics is exponentially mean-square stable and a prescribed H ∞ attenuation level is guaranteed. Some recently reported methodologies, such as delay-dependent and parameter-dependent stability analysis approaches, are employed to obtain less conservative results. Sufficient conditions, which are dependent on the occurrence probability of both the random sensor delay and missing measurement, are established for the existence of the desired filters in terms of certain linear matrix inequalities (LMIs). When these LMIs are feasible, the explicit expression of the desired filter can also be characterized. Finally, numerical examples are given to illustrate the effectiveness and applicability of the proposed design method.Keywords
This publication has 27 references indexed in Scilit:
- $H_infty$Control for Networked Systems With Random Communication DelaysIEEE Transactions on Automatic Control, 2006
- Robust Filtering Under Randomly Varying Sensor Delay With Variance ConstraintsIEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 2004
- A Delay-Dependent Approach to Robust$H_infty$Filtering for Uncertain Discrete-Time State-Delayed SystemsIEEE Transactions on Signal Processing, 2004
- Variance-constrained filtering for uncertain stochastic systems with missing measurementsIEEE Transactions on Automatic Control, 2003
- Stability analysis of networked control systemsIEEE Transactions on Control Systems Technology, 2002
- Robust ℋ/sub ∞/ filtering for uncertain discrete-time state-delayed systemsIEEE Transactions on Signal Processing, 2001
- Stability of networked control systemsIEEE Control Systems, 2001
- Delay-dependent robust stabilization of uncertain state-delayed systemsInternational Journal of Control, 2001
- Model validation and state estimation for uncertain continuous-time systems with missing discrete-continuous dataComputers and Electrical Engineering, 1999
- A New Approach to the H∞ Design of Optimal Digital Linear FiltersIMA Journal of Mathematical Control and Information, 1989