Title :
Switching observers for continuous-time and discrete-time linear systems
Author :
Alessandri, A. ; Coletta, P.
Author_Institution :
Nat. Res. Council of Italy, Naval Autom. Inst., Italy
Abstract :
An approach to estimation for continuous-time and discrete-time linear systems is proposed that is based on the idea of using switching observers. Convergence conditions have been found to ensure the stability of the error dynamics; in addition, they guarantee the existence of an upper bound to a quadratic cost function of the estimation error. The observer gains may be selected by solving a set of linear matrix inequalities (LMIs). A method is described to design a switching observer that aims to minimize the upper bound to the estimation cost function. Moreover, such a design may be efficiently accomplished by using an LMI algorithm
Keywords :
continuous time systems; discrete time systems; linear systems; observers; stability; LMI algorithm; continuous-time systems; convergence conditions; discrete-time linear systems; error dynamics; estimation cost function; linear matrix inequalities; observer gains; quadratic cost function; stability; switching observers; upper bound; Communication switching; Cost function; Estimation error; Linear matrix inequalities; Linear systems; Noise measurement; Performance gain; Stability; Switching systems; Upper bound;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.946132