Síntese de sistemas estritamente reais positivos através do critério de routh-hurwitz
Data
2010-05-01
Autores
Covacic, Márcio Roberto
Assunção, Edvaldo [UNESP]
Teixeira, Marcelo Carvalho Minhoto [UNESP]
Cardim, Rodrigo [UNESP]
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Resumo
Given a linear time-invariant plant Gol(s) with one input and q outputs, where q > 1, a method based on the Routh-Hurwitz Stability Criterion is proposed to obtain a constant tandem matrix F ∈ ℝq, such that FGOl(s) is a minimumphase system. From this solution, the system FGol(s) is represented in state space by {A, B, FC} and a constant output feedback matrix K0 ∈ ℝ is obtained such that the feedback system {A - BK0C, B, FC} is Strictly Positive Real (SPR). The proposed procedure offers necessary and sufficient conditions for both problems. Initially, the general case, with a generic q, is analyzed. Following, the particular cases q = 2 and q = 3 are studied.
Descrição
Palavras-chave
Minimum phase, Output feedback, Routh-hurwitz criterion, SPR systems, Feedback systems, Linear time invariant plant, matrix, Minimum-phase systems, Routh-Hurwitz, Routh-Hurwitz criterion, State space, Strictly positive real, Sufficient conditions, Feedback control, Stability criteria, State feedback, Feedback
Como citar
Controle y Automacao, v. 21, n. 3, p. 215-223, 2010.