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Parametric state-feedback control for arbitrary eigenvalue assignment with minimum sensitivity

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2 Author(s)
T. J. Owens ; Dept. of Electr. Eng. & Electron., Brunel Univ., Uxbridge, UK ; J. O'Reilly

The problem of closed-loop system eigenvalue sensitivity to small parameter variations in some, but not all, of the elements of the open-loop system model matrices is considered. An insightful parameterisation of all assignable closed-loop eigenvalue sensitivities is provided through the application of a recent explicit parameterisation of the class of linear eigenvalue-assigning state-feedback controllers. Based on this parameterisation, a numerical optimisation method for designing a constant gain feedback matrix which assigns the closed-loop eigenvalues to desired locations, such that these eigenvalues have low sensitivity to variation in the open-loop state-space model, is presented.<>

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IEE Proceedings D - Control Theory and Applications  (Volume:136 ,  Issue: 6 )