论文信息 - An algorithm for pole assignment of time invariant linear systems

An algorithm for pole assignment of time invariant linear systems

An algorithm is suggested for the computation of a linear state feedback for a single input system such that the resultant closed-loop system has specified eigenvalues. The algorithm is more efficient than many comparable techniques, and has some desirable numerical properties. It is closely related to the QR algorithm for the eigenproblem, and extends to descriptor systems.

C. Paige | G. Miminis

[1] J. G. F. Francis,et al. The QR Transformation A Unitary Analogue to the LR Transformation - Part 1 , 1961, Comput. J..

[2] J. H. Wilkinson. The algebraic eigenvalue problem , 1966 .

[3] and Charles K. Taft Reswick,et al. Introduction to Dynamic Systems , 1967 .

[4] W. Wonham. On pole assignment in multi-input controllable linear systems , 1967 .

[5] David Q. Mayne,et al. Modal control of linear time invariant systems , 1970 .

[6] G. Stewart. Introduction to matrix computations , 1973 .

[7] G. Stewart,et al. An Algorithm for Generalized Matrix Eigenvalue Problems. , 1973 .

[8] H. Kimura. A further result on the problem of pole assignment by output feedback , 1977 .

[9] L. Fletcher. An intermediate algorithm for pole placement by output feedback in linear multivariable control systems , 1980 .

[10] C. Paige. Properties of numerical algorithms related to computing controllability , 1981 .

[11] P. Dooren. The generalized eigenstructure problem in linear system theory , 1981 .