Iterative algorithms for state estimation of jump Markov linearsystems
IEEE Transactions on Signal Processing
Design of Observers for Hybrid Systems
HSCC '02 Proceedings of the 5th International Workshop on Hybrid Systems: Computation and Control
Observer-Based Control of Linear Complementarity Systems
HSCC '08 Proceedings of the 11th international workshop on Hybrid Systems: Computation and Control
Identification of deterministic switched ARX systems via identification of algebraic varieties
HSCC'05 Proceedings of the 8th international conference on Hybrid Systems: computation and control
Asynchronous H∞ filtering of discrete-time switched systems
Signal Processing
Discrete state estimators for systems on a lattice
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Observer design for a class of piecewise affine hybrid systems
Proceedings of the 16th international conference on Hybrid systems: computation and control
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An approach to estimation for a class of hybrid discrete-time linear systems using Luenberger observers is presented. The proposed Luenberger observer for such a kind of systems relies on the switching among different gains. Convergence conditions have been found to ensure the stability of the error dynamics and the related gains may be selected by solving a set of linear matrix inequalities (LMIs). Moreover, this observer may be improved by suitably updating the estimate using the last measures. This update enables one to reduce the norm of the estimation error and is based on the so-called projection method. Simulation results are reported to show the effectiveness of these methods in the estimation for hybrid discrete-time linear systems.