In this paper, a novel method for the design of a robust estimator for a class of switched linear systems subject to unknown inputs is presented. To consider a more general case compared to the literature, the switching sequence is assumed to be minimum average-dwell time but not available for measurement. To deal with this issue, the proposed estimator structure is divided into two blocks: mode-estimator and continuous-estimator. Based on this structure, a bank of robust estimators is designed for each block that is able to simultaneously estimate the active mode of the switched system and states. Using a common Lyapunov function, a sufficient condition in terms of linear matrix inequalities is derived, which guarantees the exponential stability of the estimation error dynamics. Simulation results illustrate the performance of the proposed robust estimator.
Robust estimator design for switched systems with unknown switching time: An LMI-based approach
Karimi H. R.
2018-01-01
Abstract
In this paper, a novel method for the design of a robust estimator for a class of switched linear systems subject to unknown inputs is presented. To consider a more general case compared to the literature, the switching sequence is assumed to be minimum average-dwell time but not available for measurement. To deal with this issue, the proposed estimator structure is divided into two blocks: mode-estimator and continuous-estimator. Based on this structure, a bank of robust estimators is designed for each block that is able to simultaneously estimate the active mode of the switched system and states. Using a common Lyapunov function, a sufficient condition in terms of linear matrix inequalities is derived, which guarantees the exponential stability of the estimation error dynamics. Simulation results illustrate the performance of the proposed robust estimator.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.