Title :
Design of Observers With Error Limitation in Discrete-Time Descriptor Systems: A Case Study of a Hydraulic Tank System
Author :
Araújo, José M. ; Barros, Péricles R. ; Dórea, Carlos E T
Author_Institution :
Dept. de Eng. Eletr., Univ. Fed. de Campina Grande, Campina Grande, Brazil
fDate :
7/1/2012 12:00:00 AM
Abstract :
A novel descriptor observer structure is proposed in the context of discrete-time descriptor linear systems. On the basis of this new structure, the characterization of conditioned-invariant polyhedral sets with the purpose of limiting the estimation error is carried out. Limitation of the estimation error can be achieved by the computation of an as small as possible conditioned-invariant polyhedron, that contains the set of possible initial errors, and by a suitable output injection law. The approach is applied to an experimental tanks platform, for which a descriptor model is identified and validated. The obtained results confirm the merits of the proposed observer for applications in this kind of systems.
Keywords :
control system synthesis; discrete time systems; hydraulic systems; linear systems; observers; set theory; tanks (containers); conditioned-invariant polyhedral sets; descriptor observer structure; discrete time descriptor linear systems; estimation error limitation; hydraulic accumulators; hydraulic tank system; observer design; output injection law; Equations; Estimation error; Linear systems; Mathematical model; Noise; Noise measurement; Observers; Descriptor systems; hydraulic accumulators; observers; set invariance;
Journal_Title :
Control Systems Technology, IEEE Transactions on
DOI :
10.1109/TCST.2011.2159719