Doubly coprime factorizations related to any stabilizing controllers in state space

Automatica ◽  
1999 ◽  
Vol 35 (9) ◽  
pp. 1573-1577 ◽  
Author(s):  
João Yoshiyuki Ishihara ◽  
Roberto Moura Sales
Keyword(s):  
State Space ◽  
Stabilizing Controllers ◽  
Coprime Factorizations

Parameterization of all stable controllers stabilizing full state information systems and mixed sensitivity

2009 ◽  
Vol 223 (7) ◽  
pp. 957-971 ◽  
Author(s):  
R Galindo Orozco
Keyword(s):  
Information Systems ◽  
Degrees Of Freedom ◽  
Linear Time ◽  
Strong Stability ◽  
State Information ◽  
Two Degrees Of Freedom ◽  
Stabilizing Controllers ◽  
Linear Time Invariant ◽  
Full State ◽  
Coprime Factorizations

Analytical expressions for the parameterization of all one- and two-degrees-of-freedom stable controllers stabilizing full state information systems are presented. It is assumed that the strictly proper, lumped, and linear time-invariant nominal plant has a stabilizable realization and is strongly stabilizable, and that the number of entries of the plant state is even and is double the number of entries of the plant input. Right and left coprime factorizations of the transfer function of the plant in terms of the matrices of the plant realization are proposed, the Diophantine equation is solved, and stabilizing controllers are obtained using Youla parameterization. Conditions for strong stability are given, and the free parameters of the stabilizing controllers solving the mixed sensitivity problem are established. The results are illustrated through simulation examples of a half-car active suspension system and a two-degrees-of-freedom planar rotational robot.

State-Space Stabilizing Controllers for Descriptor Systems

2012 ◽  
Vol 5 (3) ◽  
pp. 175-183 ◽  
Author(s):  
Masaki INOUE ◽  
Teruyo WADA ◽  
Masao IKEDA ◽  
Eiho UEZATO
Keyword(s):  
State Space ◽  
Descriptor Systems ◽  
Stabilizing Controllers

scholarly journals Youla–Kučera Parametrization with no Coprime Factorization—Single-Input Single-Output Case

Information ◽  
2019 ◽  
Vol 10 (4) ◽  
pp. 120 ◽  
Author(s):  
Kazuyoshi MORI
Keyword(s):  
Single Input Single Output ◽  
Coprime Factorization ◽  
Stabilizing Controllers ◽  
Rational Expression ◽  
Single Output ◽  
Single Input ◽  
Coprime Factorizations ◽  
Rational Expressions

We present a generalization of the Youla—Kučera parametrization to obtain all stabilizing controllers for single-input and single-output plants. This uses three parameters and can be applied to plants that may not admit coprime factorizations. In this generalization, at most two rational expressions of plants are required, while the Youla–Kučera parametrization requires precisely one rational expression.

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