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Left eigenstructure assignment via Sylvester equation
Authors:Jae Weon Choi
Affiliation:(1) School of Mechanical Engineering, Pusan National University and Research Institute of Mechanical Technology, San 30, Jangjeon-Dong, Keumjang-Ku, 609-735 Pusan, Korea
Abstract:An effective and disturbance suppressible controller can be designed by assigning a left eigenstructure (eigenvalues/left eigenvectors) of a system. In this note, a novel left eigenstructure assignment scheme via Sylvester equation is proposed. The biorthogonality property between the right and left modal matrices of a system is utilized to develop the scheme.
Keywords:Left Eigenstructure  Sylvester Equation  Biorthogonality Condition
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