Open AccessStabilizability and Disturbance Rejection with State‐Derivative Feedback
Author(s) -
Manoel Rodrigo Moreira,
Edson Italo Mainardi Júnior,
Talita Tozetto Esteves,
Marcelo Carvalho Minhoto Teixeira,
Rodrigo Cardim,
Edvaldo Assunção,
Flávio A. Faria
Publication year - 2010
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2010/123751
Subject(s) - control theory (sociology) , derivative (finance) , observable , state (computer science) , state vector , state space representation , disturbance (geology) , output feedback , mathematics , feedback control , constant (computer programming) , invariant (physics) , controller (irrigation) , lti system theory , linear system , computer science , control (management) , control engineering , engineering , algorithm , mathematical analysis , physics , artificial intelligence , mathematical physics , biology , paleontology , classical mechanics , quantum mechanics , agronomy , programming language , financial economics , economics
In some practical problems, for instance in the control of mechanical systems usingaccelerometers as sensors, it is easier to obtain the state-derivative signals than the statesignals. This paper shows that (i) linear time-invariant plants given by the state-spacemodel matrices {A,B,C,D} with output equal to the state-derivative vector are not observableand can not be stabilizable by using an output feedback if det(A)=0 and (ii) therejection of a constant disturbance added to the input of the aforementioned plants, consideringdet(A)≠0, and a static output feedback controller is not possible. The proposedresults can be useful in the analysis and design of control systems with state-derivativefeedback
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