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Robust pole assignment for ordinary and descriptor systems via the schur form

Tiexiang Li Eric King-wah Chu Wen-Wei Lin

Numerical Linear Algebra mathscidoc:1912.43742

341-365, 2011
In Chu (Syst Control Lett 56:303314, 2007), the pole assignment problem was considered for the control system \dot{x} = Ax + Bu with linear state-feedback \dot{x} = Ax + Bu An algorithm using the Schur form has been proposed, producing good suboptimal solutions which can be refined further using optimization. In this paper, the algorithm is improved, incorporating the minimization of the feedback gain \dot{x} = Ax + Bu It is also extended for the pole assignment of the descriptor system \dot{x} = Ax + Bu with linear state- and derivative-feedback \dot{x} = Ax + Bu Newton refinement for the solutions is discussed and several illustrative numerical examples are presented.
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@inproceedings{tiexiang2011robust,
  title={Robust pole assignment for ordinary and descriptor systems via the schur form},
  author={Tiexiang Li, Eric King-wah Chu, and Wen-Wei Lin},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205433080397306},
  pages={341-365},
  year={2011},
}
Tiexiang Li, Eric King-wah Chu, and Wen-Wei Lin. Robust pole assignment for ordinary and descriptor systems via the schur form. 2011. pp.341-365. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205433080397306.
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