Observer Based Parameter Estimation For Linear Uncertain Discrete-Time Systems
Journal Title: International Journal of engineering Research and Applications - Year 2018, Vol 8, Issue 10
Abstract
Presented is an observer-based parameter estimation solution for a class of linear, discrete-time systems. The proposed formulation embeds the problem of parameter estimation within a parametric uncertain observer formulation where the state and output matrices are expressed as A = A0 + ΔA and C =C0 + ΔC . The methodology is developed by creating general solutions for the uncertainty matrices ΔA and ΔC . A unique solution for each is recovered by parameterizing the general solution subject to a rank condition. The primary advantage of the proposed method is that individual parameters within the linear state equation matrices can be estimated using input/output data. The methodology is well suited for parameter estimation problems involving multi-energy-domain systems where intermediate measurements between fields are not available. Simulation examples are provided to demonstrate the utility of the proposed parameter estimation method. This result has broad applications to robust feedback solutions and system health monitoring (system diagnostics and prognostics).
Authors and Affiliations
Oussama Hattab, Matthew A. Franchek, Karolos Grigoriadis
Keywords
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