The almost disturbance decoupling problem with internal stability for linear systems subject to input saturation-state feedback case

We consider the almost disturbance decoupling problem (ADDP) and/or almost D-bounded disturbance decoupling problem ((ADDP)/sub D/) with internal stability for linear systems subject to input saturation and input-additive disturbance via linear static state feedback. We show that the almost D-bounde...

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Bibliographic Details
Published inProceedings of the Thirty-Third IEEE Conference on Decision and Control Vol. 3; pp. 2778 - 2783 vol.3
Main Authors Zongli Lin, Saberi, A., Teel, A.R.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1994
Subjects
Asymptotic stability
Centralized control
Computer science
Control systems
Ear
History
Linear systems
Mathematics
State feedback
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ISBN0780319680
9780780319684
DOI10.1109/CDC.1994.411380

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Summary:We consider the almost disturbance decoupling problem (ADDP) and/or almost D-bounded disturbance decoupling problem ((ADDP)/sub D/) with internal stability for linear systems subject to input saturation and input-additive disturbance via linear static state feedback. We show that the almost D-bounded disturbance decoupling problem with local asymptotic stability ((ADDP/LAS)/sub D/) is always solvable via linear static state feedback as long as the system in the absence of input saturation is stabilizable, no matter where the poles of the open loop system are, and the locations of these poles play a role only in the solution of (ADDP/SGA)/sub D/, (ADDP/SGAS)/sub D/ or ADDP/GAS where semi-global or global asymptotic stability is required.< >
ISBN:0780319680
9780780319684
DOI:10.1109/CDC.1994.411380