Eigenvalues assignment in descriptor linear systems by state and its derivative feedbacks

被引:0
作者
Kaczorek, Tadeusz [1 ]
机构
[1] Bialystok Tech Univ, Fac Elect Engn, Wiejska 45D, PL-15351 Bialystok, Poland
关键词
eigenvalue assignment; descriptor; linear system; state derivative; feedback; STABILITY;
D O I
10.24425/bpasts.2023.145765
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The eigenvalues assignment problems for descriptor linear systems with state and its derivative feedbacks are considered herein. Necessary and sufficient conditions for the existence of solutions to the problems are established. The Euler and Tustin approximations of the continuous-time systems are analyzed. Procedures for computation of the feedbacks are given and illustrated by numerical examples.
引用
收藏
页数:5
相关论文
共 50 条
  • [41] Extensions of the Cayley-Hamilton theorem to fractional descriptor linear systems
    Kaczorek, Tadeusz
    2016 21ST INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2016, : 838 - 843
  • [42] Linear port-Hamiltonian descriptor systems
    Christopher Beattie
    Volker Mehrmann
    Hongguo Xu
    Hans Zwart
    Mathematics of Control, Signals, and Systems, 2018, 30
  • [43] Linear port-Hamiltonian descriptor systems
    Beattie, Christopher
    Mehrmann, Volker
    Xu, Hongguo
    Zwart, Hans
    MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2018, 30 (04)
  • [44] Stability Analysis of Descriptor Continuous-Time Two-Term Linear Systems of Fractional Orders
    Buslowicz, Mikolaj
    RECENT ADVANCES IN AUTOMATION, ROBOTICS AND MEASURING TECHNIQUES, 2014, 267 : 45 - 54
  • [45] On the number of unstable eigenvalues of linear positive systems
    Guo, Baoyin
    Li, Hongchao
    Zhang, Liangyin
    Chen, Michael Z. Q.
    PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, : 133 - 138
  • [46] Robust stabilization of descriptor fractional-order interval systems with uncertain derivative matrices
    Di, Ying
    Zhang, Jin-Xi
    Zhang, Xuefeng
    APPLIED MATHEMATICS AND COMPUTATION, 2023, 453
  • [47] H∞ control for linear descriptor systems with non-differentiable delays in both state and observation
    Niamsup, P.
    Phat, V. N.
    OPTIMIZATION, 2021, 70 (08) : 1809 - 1823
  • [48] State feedback H∞ control of time-delay switched linear systems: a descriptor approach
    Galbusera, Luca
    Bolzern, Paolo
    2013 EUROPEAN CONTROL CONFERENCE (ECC), 2013, : 4436 - 4441
  • [49] On Homogeneous Descriptor Systems and Homogeneity-Based Finite-Time Control of Linear Descriptor Systems
    Konovalov, Dmitry E.
    Shopa, Nikita M.
    Zimenko, Konstantin A.
    Kremlev, Artem S.
    Belov, Alexey A.
    IEEE ACCESS, 2022, 10 : 110335 - 110343
  • [50] Robust State Feedback Control With D-Admissible Assurance for Descriptor Systems Subjected to Perturbed Derivative Matrix
    Huang, Chih-Peng
    IEEE ACCESS, 2024, 12 : 140748 - 140760