H2 and $H_\infty$ Robust Filtering for Discrete-Time Linear Systems
SIAM Journal on Control and Optimization
Branch-and-Cut Algorithms for the Bilinear Matrix Inequality Eigenvalue Problem
Computational Optimization and Applications
Linear Systems
Robust Filtering of Discrete-Time Linear Systems with Parameter Dependent Lyapunov Functions
SIAM Journal on Control and Optimization
H2 and H$_\infty$ Filtering Design Subject to Implementation Uncertainty
SIAM Journal on Control and Optimization
H∞ filtering of discrete-time fuzzy systems via basis-dependent Lyapunov function approach
Fuzzy Sets and Systems
Brief paper: Stability results for linear parameter varying and switching systems
Automatica (Journal of IFAC)
H∞filtering of networked systems with time-varying sampling rates
ACC'09 Proceedings of the 2009 conference on American Control Conference
Gain-scheduled filtering for time-varying discrete 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
Survey Research on gain scheduling
Automatica (Journal of IFAC)
Uniform stabilization of discrete-time switched and Markovian jump linear systems
Automatica (Journal of IFAC)
A view of three decades of linear filtering theory
IEEE Transactions on Information Theory
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In this paper, the problem of linear parameter varying (LPV) filter design for time-varying discrete-time polytopic systems with bounded rates of variation is investigated. The design conditions are obtained by means of a parameter-dependent Lyapunov function and extra variables for the filter design, expressed as bilinear matrix inequalities. An LPV filter, which minimizes an upper bound to the H"~ performance of the estimation error, is obtained as the solution of an optimization problem. A convex model to represent the parameters and their variations as a polytope is proposed in order to provide less conservative design conditions. Robust filters for time-varying polytopic systems can be obtained as a particular case of the proposed method. Numerical examples illustrate the results.