This paper investigates the problem of asymptotic state reconstruction for a class of continuous-time systems characterized by linear input-state dynamics and polynomial state-output function. It is shown that the dynamics of systems in this class can be embedded into the dynamics of systems of higher dimension, with time-varying linear state dynamics and linear state-output map. An asymptotic state observer for the original system is presented, whose design is based on the equations of the extended system. The observer gain is computed on-line by solving a Riccati differential equation. The interest in this observer is in its capability of state reconstruction also in cases in which the original system is not drift-observable (observable for zero input) nor uniformly observable (observable for any input)

Palumbo, P., Di Martino, D., Germani, A., Manes, C. (2004). State observation for systems with linear state dynamics and polynomial output. In Proc. 43rd IEEE Conference on Decision and Control (CDC04) (pp.3886-3891) [10.1109/CDC.2004.1429344].

State observation for systems with linear state dynamics and polynomial output

Palumbo, P;
2004

Abstract

This paper investigates the problem of asymptotic state reconstruction for a class of continuous-time systems characterized by linear input-state dynamics and polynomial state-output function. It is shown that the dynamics of systems in this class can be embedded into the dynamics of systems of higher dimension, with time-varying linear state dynamics and linear state-output map. An asymptotic state observer for the original system is presented, whose design is based on the equations of the extended system. The observer gain is computed on-line by solving a Riccati differential equation. The interest in this observer is in its capability of state reconstruction also in cases in which the original system is not drift-observable (observable for zero input) nor uniformly observable (observable for any input)
paper
nonlinear systems; state observers; Riccati equation
English
IEEE Conference on Decision and Control (CDC04) DEC 14-17
2004
Proc. 43rd IEEE Conference on Decision and Control (CDC04)
0-7803-8682-5
2004
4
3886
3891
ThC07.3
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=1429344
reserved
Palumbo, P., Di Martino, D., Germani, A., Manes, C. (2004). State observation for systems with linear state dynamics and polynomial output. In Proc. 43rd IEEE Conference on Decision and Control (CDC04) (pp.3886-3891) [10.1109/CDC.2004.1429344].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/246711
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