Journal ArticleDOI
Compensator design for decoupling of multivariable systems by state feedback
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In this paper, the design of series compensators necessary for decoupling of multivariable systems possessing weak inherent coupling by state feedback is studied, and a method of synthesis, which introduces the minimum number of dynamic elements in the compensator and places all its poles at the origin of the complex frequency plane, is given.Abstract:
This paper studies the design of series compensators necessary for decoupling of multivariable systems possessing weak inherent coupling by state feedback. An alternate characterization of weak inherent coupling is given in the form of an algorithm which plays a key role in deriving the properties and the general solution for the parameters of the compensator. A method of synthesis, which introduces the minimum number of dynamic elements in the compensator and places all its poles at the origin of the complex frequency plane, is given.read more
Citations
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Superiority of transfer function over state-variable methods in linear time-invariant feedback system design
Isaac Horowitz,Uri Shaked +1 more
Abstract: The objectives and achievements of state-variable methods in linear time-invariant feedback system synthesis are examined. It is argued that the philosophy and objectives associated with eigenvalue realization by state feedback, with or without observers, are highly naive and incomplete in the practical context of control systems. Furthermore, even the objectives undertaken have not really been attained by the state-variable techniques which have been developed. The extremely important factors of sensor noise and loop bandwidths are obscured by the state-variable formulation and have been ignored in the state-variable literature. The basic fundamental problem of sensitivity in the face of significant plant parameter uncertainty has hardly received any attention. Instead, the literature has concentrated primarily on differential sensitivity functions and even those results are so highly obscured in the state-variable formation as to lead to incorrect conclusions. In contrast, the important practical considerations and constraints have been clearly revealed and considered in the transfer function formulation. Differential sensitivity results are simple and transparent. For single input-output systems, there exists an exact design technique for achieving quantitative sensitivity specifications in the face of significant parameter uncertainty, which is optimum in an important practical sense. This problem is much more difficult and has not been completely solved for multivariable systems, but it has at least been realistically attacked by some transfer function methods. Finally, the concepts of controllability and observability so much emphasized in the state-variable literature are examined. It is argued that their importance in this problem class has been greatly exaggerated. On the one hand, transfer function methods can be used to check for their existence. On the other hand, nothing is lost when they are ignored, if the synthesis problem is treated as one with parameter uncertainty by transfer function methods.
Journal ArticleDOI
Minimal-order precompensators for decoupling linear multivariable systems (A, B, C, E)
Mohammed Moness,M. H. Amin +1 more
TL;DR: In this paper, the weak inherent coupling problem of the system S(A, B, C, E) is considered and a minimal-order precompensator and a static feedback pair (F∗,G∗) are computed to decouple the given system.
Journal ArticleDOI
Dynamic compensation for state feedback decoupling of multivariable systems
TL;DR: In this article, a design procedure is developed for pre-compensating linear time-invariant multivariable systems, so that the augmented system satisfies the condition of state feedback decoupling.
Journal ArticleDOI
A precompensator design to achieve the decoupling condition in the frequency domain
Mohammed Moness,B. Lantos +1 more
TL;DR: In this paper, the problem of designing a precompensator, by using the frequency domain approach, for linear systems having weak inherent coupling such that the composite system will be decouplable through linear state variable feedback (l.s.v.
References
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Journal ArticleDOI
Inversion of multivariable linear systems
TL;DR: In this article, a new algorithm for constructing an inverse of a multivariable linear dynamical system is presented, which is considerably more efficient than previous methods, and incorporates a relatively simple criterion for determining if an inverse system exists.
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Decoupling in the design and synthesis of multivariable control systems
Peter Falb,William A. Wolovich +1 more
TL;DR: The characterization of φ of all feedback matrices which decouple the system is characterized to determine the number of closed-loop poles which can be specified for the decoupled system and to develop a synthesis technique for the realization of desired closed- loop pole configurations.
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Invertibility of linear time-invariant dynamical systems
Michael K. Sain,James L. Massey +1 more
TL;DR: In this paper, the authors introduce the concept of inherent integration associated with a dynamical system, i.e., the number of integrations which no inverse system can remove unless ideal differentiators are introduced.
Journal ArticleDOI
The Decoupling of Multivariable Systems by State Feedback
TL;DR: In this article, a comprehensive theory for the decoupling of multivariable systems by state feedback is developed, and a preliminary formulation of decoupled problem is discussed. But this paper is not a comprehensive analysis.
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