Decentralized Local Pole-Placement Control Design using Static Output Feedback

This paper proposes Pole- placement control design procedures using static output feedback. The pole-placement problem is posed as a multilinear design problem. To guarantee that a real solution exists to the multilinear pole-placement equation, the concept of placing the closed-loop poles locally about the open loop poles is introduced. The number of closed-loop poles that can be arbitrarily placed locally is shown to be equal to the rank of an output feedback controllability matrix. The multilinear design approach can readily incorporate the decentralized output feedback pole-placement problem. A characterization of the non- existence of decentralized fixed modes without computing eigenvalues can be developed. Several numerical techniques for solving the multilinear pole-placement equation are discussed.