The output feedback exponential stabilization problem is addressed for known linear stabilizable and detectable systems when the measured output is affected by sinusoidal disturbances generated by an unknown exosystem and only an upper bound on the exosystem order is supposed to be known. Necessary and sufficient conditions are given: in particular a solution to the problem exists if and only if the set of exosystem eigenvalues is disjoint from the set of system eigenvalues. Two adaptively stabilizing control algorithms are proposed: the first one drives the state of the given system exponentially to zero when the actual disturbances are exactly modelled by the exosystem. When the exosystem overmodels the actual disturbances an on-line detector of the number of excited frequencies is included in the second more complex algorithm: the exponentially converging estimates of the system state variables are then used to drive the state of the given system exponentially to zero. An illustrative example with a disturbance containing a variable number of frequencies is worked out in details and simulated.

Marino, R., Santosuosso, G.l., Tomei, P. (2008). Output feedback stabilization of linear systems with unknown additive output sinusoidal disturbances. EUROPEAN JOURNAL OF CONTROL, 14(2), 131-148 [10.3166/ejc.14.131-148].

Output feedback stabilization of linear systems with unknown additive output sinusoidal disturbances

MARINO, RICCARDO;SANTOSUOSSO, GIOVANNI LUCA;TOMEI, PATRIZIO
2008-02-01

Abstract

The output feedback exponential stabilization problem is addressed for known linear stabilizable and detectable systems when the measured output is affected by sinusoidal disturbances generated by an unknown exosystem and only an upper bound on the exosystem order is supposed to be known. Necessary and sufficient conditions are given: in particular a solution to the problem exists if and only if the set of exosystem eigenvalues is disjoint from the set of system eigenvalues. Two adaptively stabilizing control algorithms are proposed: the first one drives the state of the given system exponentially to zero when the actual disturbances are exactly modelled by the exosystem. When the exosystem overmodels the actual disturbances an on-line detector of the number of excited frequencies is included in the second more complex algorithm: the exponentially converging estimates of the system state variables are then used to drive the state of the given system exponentially to zero. An illustrative example with a disturbance containing a variable number of frequencies is worked out in details and simulated.
feb-2008
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore ING-INF/04 - AUTOMATICA
English
Con Impact Factor ISI
Adaptive Regulation, Parameter Estimation, Disturbance Rejection.
Marino, R., Santosuosso, G.l., Tomei, P. (2008). Output feedback stabilization of linear systems with unknown additive output sinusoidal disturbances. EUROPEAN JOURNAL OF CONTROL, 14(2), 131-148 [10.3166/ejc.14.131-148].
Marino, R; Santosuosso, Gl; Tomei, P
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/56007
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