Abstract
This paper is concerned with the problem of parameter-dependent H∞ filtering for discrete-time systems with polytopic uncertainties. The uncertain parameters are supposed to reside in a polytope. Being different from previous results in the quadratic framework, the parameter-dependent Lyapunov function is used in this paper. Both full- and reduced-order filters are designed, which guarantee the asymptotic stability and a prescribed H∞ performance level. The filter parameters can be obtained from the solution of convex optimization problems in terms of linear matrix inequalities, which can be solved via efficient interior-point algorithms. Numerical examples are presented to illustrate the feasibility and less conservativeness of the proposed method.
Original language | English |
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Pages (from-to) | 560-565 |
Number of pages | 6 |
Journal | Automatica |
Volume | 45 |
Issue number | 2 |
DOIs | |
Publication status | Published - Feb 2009 |
Keywords
- Discrete-time systems
- H filtering
- Linear matrix inequality
- Polytopic systems