Fault estimations for linear systems with polytopic uncertainties
International Journal of Systems, Control and Communications
Brief paper: Near optimal interval observers bundle for uncertain bioreactors
Automatica (Journal of IFAC)
ACC'09 Proceedings of the 2009 conference on American Control Conference
H∞filtering of networked systems with time-varying sampling rates
ACC'09 Proceedings of the 2009 conference on American Control Conference
H∞filtering for a class of discrete-time switched linear systems
ACC'09 Proceedings of the 2009 conference on American Control Conference
Fault estimations for uncertain linear continuous-time systems
CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
Robust H2 and H∞ filtering for uncertain linear systems
Automatica (Journal of IFAC)
Robust output-feedback controller design via local BMI optimization
Automatica (Journal of IFAC)
Improved robust H2 and H∞ filtering for uncertain discrete-time systems
Automatica (Journal of IFAC)
Network-based H∞ filtering using a logic jumping-like trigger
Automatica (Journal of IFAC)
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This paper investigates robust filtering design problems in H2 and $H_\infty$ spaces for discrete-time systems subjected to parameter uncertainty which is assumed to belong to a convex bounded polyhedral domain. It is shown that, by a suitable change of variables, both design problems can be converted into convex programming problems written in terms of linear matrix inequalities (LMI). The results generalize the ones available in the literature to date in several directions. First, all system matrices can be corrupted by parameter uncertainty and the admissible uncertainty may be structured. Then, assuming the order of the uncertain system is known, the optimal guaranteed performance H2 and $H_\infty$ filters are proven to be of the same order as the order of the system. Comparisons with robust filters for systems subjected to norm-bounded uncertainty are provided in both theoretical and practical settings. In particular, it is shown that under the same assumptions the results here are generally better as far as the minimization of a guaranteed cost expressed in terms of H2 or $H_\infty$ norms is considered. Some numerical examples illustrate the theoretical results.