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Eigenstructure assignment by output feedback
International Journal of Control, 1991This paper looks at the problem of eigenstructure assignment using the system outputs. The algorithm developed is a single pass solution based on the singular value decomposition used to assess rank deficiency. The technique uses metrics to assess the time response, actuator movement and output decoupling of the eigenstructure problem.
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Eigenstructure assignment in linear descriptor systems
IEEE Transactions on Automatic Control, 1995Summary: Given a linear controllable system \(E\dot x= Fx+ Gu\), we study the limits of linear proportional feedback \(u= Kx+ v\) in assigning a desired finite and infinite eigenstructure of the closed-loop system \(E\dot x= (F+ GK)x+ Gv\). The closed-loop system is not restricted to be regular; its rank makes part of the specifications.
Zagalak, Petr, Kučera, Vladimír
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Direct Eigenstructure Assignment for Model Updating
AIAA Journal, 2021A direct updating approach for stiffness and damping matrices based on eigenstructure assignment is presented.
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Eigenstructure assignment characterisation
2011In this chapter, the eigenstructure synthesis using state variable feedback has been analysed. It is shown that the solution scheme is simple and just involves solving a set of linear equations to synthesise each eigenvector for a specified eigenvalue.
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Integrated approach to observer eigenstructure assignment
IEE Proceedings - Control Theory and Applications, 2000An integrated approach to eigenstructure assignment is used to provide a simple unconstrained algorithm for full-state-observer left-eigenstructure assignment. The integrated approach enables the left-eigenstructure, assignable with multiple eigenvalues, to be readily identified. The approach is developed to provide a simple unconstrained algorithm for
T.J. Owens, S. Askarpour
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Robust eigenstructure assignment
2011The design of feedback systems based on a 'mathematical model' of the plant should be insensitive to uncertainty associated with the parameters of the model. This is required since the system model parameters, in most cases, are only a best estimate of the real plant.
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Optimisation approach to robust eigenstructure assignment
IEE Proceedings - Control Theory and Applications, 1999A systematic optimisation approach to robust eigenstructure assignment for control systems with output feedback is presented. The proposed scheme assigns the maximum allowable number of closed-loop eigenvalues to desired locations, and determines the corresponding closed-loop eigenvectors as close to desired ones as possible.
I. K. Konstantopoulos, P. J. Antsaklis
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Eigenstructure assignment technique for manipulator control
Conference Proceedings., IEEE International Conference on Systems, Man and Cybernetics, 2003A control scheme based on a procedure suggested by M. Vukobratovic and N. Kircarski (1983) is used to design the control algorithm for a two-link robot arm. Simulation results show that eigenstructure assignment with feedforward torques can produce acceptable performance for such an arm.
S. Park, F.J. Alexandro
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Eigenstructure assignment using output feedback
IEEE Transactions on Aerospace and Electronic Systems, 1994An eigenspace, achievable by gain output feedback, is proposed by Andry et al. (1983). One example contradicting the above conclusion is given by Kang and Lee (1992). The contradiction is due to the limitation of the result presented by Andry. This note derives the complete specification of the eigenspace which can be achieved by gain output feedback. >
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An addendum to output feedback eigenstructure assignment: retro-assignment
International Journal of Control, 2004This addendum paper presents additional material on an output feedback eigenstructure assignment approach derived in Clarke et al. (2003). There, a two-stage process is followed in which a subset of the desired eigenvectors is assigned in the first stage, followed by a dual set in the second stage.
T. Clarke, S. J. Griffin
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