A Parameter-Dependent Approach to Robust $H_{\infty }$ Filtering for Time-Delay Systems
- 7 November 2008
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 53 (10), 2420-2425
- https://doi.org/10.1109/tac.2008.2007544
Abstract
This paper is concerned with the problem of robust H infin filtering for linear continuous-time systems with polytopic parameter uncertainties and time-varying delay in the state. We utilize the polynomially parameter-dependent idea to solve the robust H infin filtering problem, with new linear matrix inequality conditions obtained for the existence of admissible filters. These conditions are developed based on homogeneous polynomially parameter-dependent matrices of arbitrary degree. The delay-dependence and polynomial parameter-dependence guarantee the proposed approach to be potentially less conservative, which is shown via a numerical example.Keywords
This publication has 34 references indexed in Scilit:
- Robust filtering for a class of uncertain linear systems with time-varying delayAutomatica, 2008
- Delay-range-dependent stability for systems with time-varying delayAutomatica, 2006
- Robust /spl Hscr//sub /spl infin// filtering for discrete-time linear systems with uncertain time-varying parametersIEEE Transactions on Signal Processing, 2006
- Improved delay-dependent stability criteria for time-delay systemsIEEE Transactions on Automatic Control, 2005
- Robust /spl Hscr//sub 2/ filtering for discrete-time uncertain linear systems using parameter-dependent Lyapunov functionsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- A new H/sub ∞/ filter design for linear time delay systemsIEEE Transactions on Signal Processing, 2001
- Robust filter design with pole constraints for discrete-time systemsJournal of the Franklin Institute, 2000
- Robust H/sub 2//H/sub ∞/ filtering for linear systems with error variance constraintsIEEE Transactions on Signal Processing, 2000
- A linear matrix inequality approach to robust H/sub ∞/ filteringIEEE Transactions on Signal Processing, 1997
- H∞ estimation for discrete‐time linear uncertain systemsInternational Journal of Robust and Nonlinear Control, 1991