Closed-Loop Performance Analysis of Algebraic Estimators

Murgueytio, Zoraida Violeta Lopez; Silva, Paulo Sérgio Pereira da; Novaes, Carlos Eduardo de Brito

doi:10.1007/s40313-013-0078-2

Cited by 3 publications

(1 citation statement)

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“…A prova dos teoremas 1 e 2 pode ser encontrada em (Murgueytio, Silva e Novaes 2013) 3.2 Estabilidade em malha fechada para o filtro de terceira ordem Seja y(t) ∈ R m e u(t) ∈ R l . Considere um sistema afim de classe C 2 com entrada u(t) e saída y(t), da forma:…”

Section: Dinâmica Do Estimador De Ordem Trêsunclassified

Estudo sobre a garantia de estabilidade em malha fechada com estimação algébrica de derivadas.

Murgueytio¹,

Violeta²

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This thesis deals with the algebraic estimators and their application in closed loop control systems. The algebraic estimators can be implemented as time-varying filters that produce an estimation of the derivatives of the input signal, and they can be an interesting alternative for substituting classical observers. This work includes a theoretic contribution that allows to compute a bound of the estimation error of the algebraic estimator. Furthermore it is shown that any derivative estimator that respects this bound will assure closed loop stability in the context of the separation principle, at least for a class of nonlinear systems. An example of magnetic levitation based on exact linearization and in closed loop with an estimator of the first and second derivatives is considered. A digital implementation of the algebraic estimation is also discussed, and simulations are presented, showing excellent results.

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Section: Dinâmica Do Estimador De Ordem Trêsunclassified