Simultaneous State And Parameter Estimation In Linear Systems

Author : Diego Mincarelli
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (88 download)

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Download or read book Parameters and State Estimation for Switched Systems written by Diego Mincarelli and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hybrid systems have been widely studied in the literature and became a powerful tool for modeling systems coming from many engineering fields. A common definition of hybrid systems is a combination of both continuous-time and discrete event systems. Examples of hybrid systems include networks, multi-agent systems, mechanical devices, robot path planning, biological systems. Researches on hybrid systems cover all fields of control theory such as stability analysis, control and observation problems or supervision. In the context of switched systems, which is a particular class of hybrid systems, this thesis aims at studying the problem related to extracting information about the system parameters and the state from the knowledge of the output.This study is motivated by various purposes: modeling, monitoring, fault detection and identification for the systems safety, output feedback control. For those reasons,the identification and the observation are at the core of decision and control problems.The first part of the thesis is devoted to extend the applicability of the algebra-based methods for on-line constant parameter estimation, developed by INRIA - Non-A project-team, to the case of systems with piecewise constant parameters. To this end, a procedure for the estimation of the parameters and the switching times is developed in the framework of switched systems.Such an approach enables a simultaneous algebraic estimation of both parameters and change time instants. The novelty and efficiency of the proposed identification algorithms mainly lie in their non asymptotic nature. The second part of the thesis addresses the problem of observer design for estimating the discrete and the continuous state of switched systems.Since switched systems contain a family of continuous-time systems and discrete-event systems, the evolution of their dynamics is naturally non-smooth, and this increases the difficulties to solve the observation problem. For instance, the estimates have to be provided before the next switch takes place. Thus, we propose an observer based on finite-time techniques (sliding-mode based) for the reconstruction of the continuous states and the switching signal (discrete state) in finite-time. Finally, we deal with another class of switched systems where the parameters, in each subsystem, are time-varying. For this kind of models, called switched linear parameter varying systems, we design an estimator for reconstructing the discrete state, by using parameter identification techniques.