We are concerned in this article with controlled linear time-invariant multi input multi output systems in continuous-time. We study here the preservation under strict positive real substitutions (of zero relative deg...
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We are concerned in this article with controlled linear time-invariant multi input multi output systems in continuous-time. We study here the preservation under strict positive real substitutions (of zero relative degree) of coprime factorisations as well as stabilising properties in parametrised controllers. We also tackle here both the preservation of well-posedness (of the tracking feedback control scheme) and the preservation of H-infinity-optimality properties in some classes of closed-loop systems affected by multiplicative unstructured uncertainty, including the so-called suboptimal H-infinity-control problem by stable controllers (i.e. preservation of both strong stabilisation and H-infinity-boundedness).
Traditionally, when approaching controller design with the Youla-Kucera parametrization of all stabilizingcontrollers, the denominator of the rational parameter is fixed to a given stable polynomial, and optimization...
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Traditionally, when approaching controller design with the Youla-Kucera parametrization of all stabilizingcontrollers, the denominator of the rational parameter is fixed to a given stable polynomial, and optimization is carried out over the numerator polynomial. In this note, we revisit this design technique, allowing to optimize simultaneously over the numerator and denominator polynomials. Stability of the denominator polynomial, as well as fixed-order controller design with H-infinity performance are ensured via the notion of a central polynomial and linear matrix inequality (LMI) conditions for polynomial positivity.
The present paper introduces a parameterization method of stabilizingcontrollers in the framework of the factorization approach. This parameterization method is a generalization of the previous parameterization metho...
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The present paper introduces a parameterization method of stabilizingcontrollers in the framework of the factorization approach. This parameterization method is a generalization of the previous parameterization methods. The existence of the coprime factorizability of plants is not assumed herein. Under this condition, the number of parameters of the proposed method is less than or equal to those of the previous methods.
We consider the controller parameterization of Anantharam's example. It is shown that the parameterization is achieved by using only one parameter even though the plant does not have a coprime factorization.
We consider the controller parameterization of Anantharam's example. It is shown that the parameterization is achieved by using only one parameter even though the plant does not have a coprime factorization.
This paper presents a parameterization method of stabilizingcontrollers. The result of this paper does not assume the existence of the coprime factorizability of plants. Under this condition, the number of parameters...
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ISBN:
(纸本)9788995003848
This paper presents a parameterization method of stabilizingcontrollers. The result of this paper does not assume the existence of the coprime factorizability of plants. Under this condition, the number of parameters of the method is less than or equal to that of the previous one. This paper employs neither the localization nor the local-global principle which need the knowledge of abstract algebras.
In the framework of the factorization approach, we give a parameterization of all stabilizingcontrollers with some fixed precompensator for single-input single-output systems. By using this parametrization, we give a...
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ISBN:
(纸本)9784907764289
In the framework of the factorization approach, we give a parameterization of all stabilizingcontrollers with some fixed precompensator for single-input single-output systems. By using this parametrization, we give a parameterization of all strictly causal stabilizingcontrollers.
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