Journal Article10.1109/9.58561
On the regularizability of singular systems
K. Ozcaldiran,Frank L. Lewis +1 more
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TL;DR: In this paper, a new property of regularizability of singular systems is defined and geometric tests are given for it in terms of system matrices, and a brief comparison of proportional and proportional plus-derivative feedback laws in the context of making the closed-loop system regular, regular and reachable, and regular and controllable is also given.
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Abstract: The property of regularity of singular systems is not a feedback invariant. To correct this deficiency a new property of regularizability is defined and geometric tests are given for it in terms of system matrices. Regularizability is shown to be the natural extension of regularity, which is a condition on the homogeneous system, to controlled singular systems. Definitions of controllability and reachability are modified depending on regularizability rather than regularity. A brief comparison of proportional and proportional-plus-derivative feedback laws in the context of making the closed-loop system regular, regular and reachable, and regular and controllable is also given. Dynamical interpretations of these properties are also presented. >
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Citations
Technical communique: Regularizability of linear time-invariant descriptor systems under decentralized control
TL;DR: Regularizability conditions for linear time-invariant descriptor systems under decentralized output feedback are presented and new rank conditions for regularity of the system are derived.
5
Regularization and robust control of uncertain singular discrete-time linear systems
TL;DR: A new class of feedback is proposed to stabilize singular uncertain discrete-time systems with unknown time delays and the regularization and the stabilizability condition of this class of systems is given in terms of one strict LMI.
4
Noninteracting control of descriptor systems involving disturbances
F.N. Koumboulis,K. G. Tzierakis +1 more
TL;DR: For m-input p-output descriptor systems involving disturbances, it is proven that if the problem of disturbance rejection is solvable via static-state feedback and the input-output transfer function matrix is right invertible, there always exists a static- state feedback control law yielding, simultaneously to disturbance rejection, a triangular input- Output relation.
4
Impulse controllability and impulse elimination in rectangular descriptor systems
Vikas Kumar Mishra,Nutan Kumar Tomar,Mahendra Kumar Gupta +2 more
- 28 Dec 2015
TL;DR: In this article, a decomposition of system matrices of linear time invariant rectangular descriptor systems is proposed to check the impulse controllability of closed-loop descriptor systems, and sufficient conditions are proved and proved to design a proportional plus derivative feedback such that the closed loop system is free of impulse.
4
Parametric stabilization for descriptor linear systems via state-proportional and -derivative feedback
TL;DR: The approach guarantees arbitrary assignment of rank [ E B ] number finite closed-loop eigenvalues with arbitrary given algebraic and geometric multiplicities and guarantees the closed- loop regularity and impulse-freeness when several simple constraints on the design parameters are added.
4
References
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TL;DR: In this paper, the concepts of controllability and observability for systems of the form E\dot{x} = Ax + Bu, y = Cx, E singular are considered.
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Almost invariant subspaces: An approach to high gain feedback design--Part II: Almost conditionally invariant subspaces
TL;DR: In this paper, the authors considered the problem of approximate disturbance decoupling by measurement feedback and showed that this problem is solvable to any arbitrary degree of accuracy if and only if: 1) almost disturbance control by state feedback, and 2) approximate disturbance estimation of the to-be-controlled output are both possible.
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Feedback control and classification of generalized linear systems
Mark A. Shayman,Zheng Zhou +1 more
- 10 Jun 1987
TL;DR: In this paper, a unified theory of control synthesis for generalized linear (i.e. descriptor) systems using constant-ratio proportional and derivative (CRPD) feedback is presented, which includes the theory of static state feedback and output feedback.
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