In Chu (Syst Control Lett 56:303-314, 2007), the pole assignment problem was considered for the control system x = Ax + Bu with linear statefeedback u = Fx: 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 kFk: It is also extended for the pole assignment of the descriptor system Ex = Ax + Bu with linear state- and derivative-feedback u = Fx - Gx. Newton refinement for the solutions is discussed and several illustrative numerical examples are presented.
|Title of host publication||Numerical Linear Algebra in Signals, Systems and Control (Lecture Notes in Electrical Engineering)|
|Editors||Paul Van Dooren, Shankar P Bhattacharyya, Raymond H Chan, Vadim Olshevsky, Aurobinda Routray|
|Place of Publication||New York USA|
|Pages||341 - 365|
|Number of pages||25|
|Publication status||Published - 2011|
Li, T., Chu, K-W. E., & Lin, W. (2011). Robust pole assignment for ordinary and descriptor systems via the Schur Form. In P. Van Dooren, S. P. Bhattacharyya, R. H. Chan, V. Olshevsky, & A. Routray (Eds.), Numerical Linear Algebra in Signals, Systems and Control (Lecture Notes in Electrical Engineering) (pp. 341 - 365). Springer. https://doi.org/10.1007/978-94-007-0602-6_16