Simple algorithm for robust pole assignment in linear output feedback

Based on a newly proposed eigenstructure assignment result and the matrix eigenvalue sensitivity theory, a simple effective algorithm for robust pole assignment in multivariable linear systems via output feedback is presented, which gives a robust solution in the sense that the closed-loop eigenvalues are as insensitive as possible to perturbations in the system coefficient matrices. The algorithm does not contain ‘going back’ procedures, and may conveniently include closed-loop eigenvalues as optimising parameters, and also possesses good numerical property and better optimality. Computational results show its effect and simplicity.