Abstract

This paper gives a lossless method to determine the feasibility of static output feedback pole placement. The feedback gain matrices are determined by closed loop characteristic equations. The gain matrices exist if and only if the minimum norm gain matrix exists. The calculation of minimum norm gain matrix is equivalent to solving a zero-dimension polynomial equation set, which has finite number solutions and can be solved by globally convergent algorithms. Each solution is a stagnation point of the optimization problem and determines a gain matrix of pole placement. This method needs no restriction on system matrices and gain matrix so can solve general output feedback. It's complete on theory and efficient for systems with small dimensions.

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