Dušan Krokavec, "Interval State Estimation of Systems with Metzler Polytopic Models," WSEAS Transactions on Mathematics, vol. 23, pp. 571-578, 2024, DOI:10.37394/23206.2024.23.60
Dušan Krokavec. Interval State Estimation of Systems with Metzler Polytopic Models.
WSEAS Transactions on Mathematics. 2024;23:571-578. 10.37394/23206.2024.23.60
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 23, 2024
Interval State Estimation of Systems with Metzler Polytopic Models
Author:
Abstract: The paper deals with the design of interval observers for interval-defined strictly Metzler polytopic
positive systems. The stability conditions for the proposed structure of the interval observer are formulated using
linear matrix inequalities to ensure a positive estimate of the system state. The proposed method makes it possible
to calculate time-varying lower and upper estimates of the state vector, assuming that the disturbance is bounded.
Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
Keywords:
Metzler systems, parametric constraints, diagonal stabilisation, linear matrix inequalities, applied
interval analysis, interval observers
Pages: 571-578 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 23, 2024, Art. #60 DOI: 10.37394/23206.2024.23.60
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