In this paper the problem of discrete and continuous state estimation for a class of uncertain switched LPV systems is addressed. Parameter identification techniques are applied to realize an approximate identification of the scheduled parameters of a switched LPV system with certain uncertainties and/or disturbances. A discrete state estimation is achieved using the parameter identification. A Luenberger-like hybrid observer, based on discrete state information and LMIs approach, is used for the continuous state estimation. The simplicity of the proposed method is one of the main advantages of this paper. The feasibility of the proposed method is illustrated by simulations.
Bibliographical noteFunding Information:
The authors gratefully acknowledge the financial support from CONACyT 151855 , 209247 , CONACyT 209731 - CNRS 222629 Bilateral Cooperation Project Mexico–France, and IPN-SIP 20150771 . This work was also supported in part by the Government of Russian Federation (Grant 074-U01 ) and the Ministry of Education and Science of Russian Federation (Project 14.Z50.31.0031). The material in this paper was partially presented at the 2014 American Control Conference, June 4–6, 2014 Portland, OR, USA ( Ríos, Mincarelli, Efimov, Perruquetti, & Davila, 2014 ). This paper was recommended for publication in revised form by Associate Editor Michael V. Basin under the direction of Editor Ian R. Petersen.
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- LPV systems
- State estimation
- Switched systems