4.2 Article

An algebraic framework for linear identification

Journal

Publisher

E D P SCIENCES
DOI: 10.1051/cocv:2003008

Keywords

linear systems; identifiability; parametric identification; adaptive control; generalised proportional-integral controllers; module theory; differential algebra; operational calculus

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A closed loop parametrical identification procedure for continuous-time constant linear systems is introduced. This approach which exhibits good robustness properties with respect to a large variety of additive perturbations is based on the following mathematical tools: 1. module theory; 2. differential algebra; 3. operational calculus. Several concrete case-studies with computer simulations demonstrate the efficiency of our on-line identification scheme.

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