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

✍ Scribed by Zongli Lin; Ali Saberi; Andrew R. Teel


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
703 KB
Volume
32
Category
Article
ISSN
0005-1098

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✦ Synopsis


We consider the almost disturbance decoupling problem (ADDP) and/or almost D-bounded disturbance decoupling problem ((ADDP),) 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),)

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/GAS),, (ADDP/SGAS), or ADDP/GAS where semi-global or global asymptotic stability is required.