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Static output feedback design using model reduction methods for second-order systems
Yuhao Cong,Zheng Wang
Keywords:Second-order systems, static output feedback, model reduction methods, argument principle
      In this paper, the static output feedback design is investigated using model reduction methods for large-scale second-order systems. First, based on the second-order Krylov subspace method, a low dimensional structure-preserving second-order system is derived. Then, applying matrix transformation, the relationship between input variables and output variables is directly established in the low dimensional system. We design output feedback controller for this system. Finally, using the argument principle, a computable stability criterion is presented to check the stability of the closed-loop system. Furthermore, a numerical algorithm is provided to design the output feedback controller for large-scale second-order systems. Numerical examples are given to illustrate the effectiveness of the algorithms.