Title :
Finite time converging input observers for nonlinear second-order systems
Author :
Moreno, Jaime A. ; Dochain, D.
Author_Institution :
Inst. de Ing., Univ. Nac. Autonoma de Mexico, Mexico City, Mexico
Abstract :
We propose a discontinuous observer able to estimate in finite time both unmeasured states and the unknown input of a SISO nonlinear second order system. The only requirements are the observability of both the states and the unknown input, and that the unknown input is a uniformly Lipschitz time function. We illustrate the method in a biological reactor that models the functioning of a Waste Water Treatment Plant (WWTP), for which the problem of estimating the unknown input is of practical relevance. For concreteness of the presentation we restrict the treatment to second order systems, but the idea can be extended to a more general context.
Keywords :
bioreactors; nonlinear control systems; observability; observers; sampled data systems; wastewater treatment; SISO nonlinear second order system; WWTP; biological reactor; discontinuous observer; finite time converging input observers; observability; uniformly Lipschitz time function; unknown input estimation; unmeasured state estimation; waste water treatment plant; Convergence; Estimation error; Lyapunov methods; Noise; Observability; Observers; Silicon compounds; finite time convergence; nonlinear systems; state observer; unknown input;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6760429