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.
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.
Nous introduisons pour les systèmes linéaires constants les reconstructeurs intégraux et les correcteurs proportionnels-intégraux généralisés, qui permettent d’éviter le terme dérivé du PID classique et, plus généralement, les observateurs asymptotiques usuels. Notre approche, de nature essentiellement algébrique, fait appel à la théorie des modules et au calcul opérationnel de Mikusiński. Plusieurs exemples sont examinés.
For constant linear systems we are introducing and , which permit to bypass the derivative term in the
classic PID controllers and more generally the usual asymptotic
observers. Our approach, which is mainly of algebraic flavour, is
based on the module-theoretic framework for linear systems and on
operational calculus in Mikusiński's setting. Several examples
are discussed.
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