Journal Article10.1016/J.JFRANKLIN.2017.09.029
A parametric poles assignment algorithm for second-order linear periodic systems
Lingling Lv,Zhe Zhang,Lei Zhang +2 more
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TL;DR: A complete parametric approach to poles assignment via periodic PD state-feedback is proposed based on the solutions to the discrete periodic regulator matrix equations to consider the minimization problem and the robust problem of the plant system.
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Abstract: Poles assignment problem for second-order linear periodic system by using periodic proportion-plus-derivative (PD) state-feedback is considered in this paper. The poles assignment problem via periodic PD state-feedback in a class of discrete periodic second-order linear systems can be transformed into the problem of solving a class of constrained discrete periodic regulator equations. A complete parametric approach to poles assignment via periodic PD state-feedback is proposed based on the solutions to the discrete periodic regulator matrix equations. Based on the proposed parametric method, the consideration of the minimization problem and the robust problem of the plant system are proposed. Two numerical examples are presented to illustrate the effectiveness of the proposed approaches.
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Citations
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References
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TL;DR: In this article, the use and design of linear periodic time-varying controllers for the feedback control of linear time-invariant discrete-time plants is considered. And the authors show that for a large class of robustness problems, periodic compensators are superior to time-inariant ones.
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A new solution to the generalized Sylvester matrix equation AV-EVF=BW
Bin Zhou,Guang-Ren Duan +1 more
TL;DR: This note deals with the problem of solving the generalized Sylvester matrix equation AV-EVF=BW, with F being an arbitrary matrix, and provides complete general parametric expressions for the matrices V and W satisfying this equation.
173
Technical Communique: Complete parametric approach for eigenstructure assignment in a class of second-order linear systems
Guang-Ren Duan,Guo-Ping Liu +1 more
TL;DR: This note deals with eigenstructure assignment in the second-order linear system [email protected]-Cq=Bu using the proportional-plus-derivative feedback controller u=K"0q+K"[email protected]?
143
Parametric eigenstructure assignment in second-order descriptor linear systems
TL;DR: Two complete parametric methods for the proposed eigenstructure assignment problem are presented and both give simple completeParametric expressions for the feedback gains and the closed-loop eigenvector matrices.
112
Numerical computation of a coprime factorization of a transfer function matrix
Th. G. L. Beelen,G. W. Veltkamp +1 more
TL;DR: In this article, a coprime factorization of a transfer function matrix is presented based on reformulating the problem as a problem of constructing a minimal basis of the right nullspace of a matrix pencil λ B - A.
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