COMPARISON OF DIRECT AND PERTURBATION APPROACHES TO ANALYSIS OF INFINITE-DIMENSIONAL FEEDBACK CONTROL SYSTEMS

被引:2
|
作者
Grabowski, Piotr [1 ]
机构
[1] AGH Univ Sci & Technol, Inst Control Engn & Robot, Al Mickiewicza 30-B1, PL-30059 Krakow, Poland
关键词
perturbation; semigroups; systems in factor form; spectral operators; OPERATORS; SEMIGROUPS;
D O I
10.34768/amcs-2021-0014
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
For general boundary control systems in factor form some necessary and sufficient conditions for generation of an analytic exponentially stable semigroup are proposed in both direct and perturbation forms for comparison. The direct approach is applicable to operators with the numerical range satisfying certain additional conditions. In particular, it applies to operators similar to convexoids and therefore it generalizes previous results known for hyponormal operators. The perturbation result (indirect approach) is derived and formulated as an exponential stability robustness result using the frequence-domain considerations. It is expressed in terms of some estimates of the resolvent growth over the open right complex half-plane and compared with some recent results. The analysis is illustrated in detail with examples of an unloaded and loaded electric RC-transmission line with proportional negative feedback.
引用
收藏
页码:195 / 218
页数:24
相关论文
共 50 条
  • [31] H∞-output feedback of infinite-dimensional systems via approximation
    Morris, KA
    SYSTEMS & CONTROL LETTERS, 2001, 44 (03) : 211 - 217
  • [32] ON APPROXIMATION OF STABILITY RADIUS FOR AN INFINITE-DIMENSIONAL FEEDBACK CONTROL SYSTEM
    Sano, Hideki
    KYBERNETIKA, 2016, 52 (05) : 824 - 835
  • [33] Comparison theorem for infinite-dimensional linear impulsive systems
    Bivziuk, Vladyslav
    Dashkovskiy, Sergey
    Slynko, Vitalii
    2023 62ND IEEE CONFERENCE ON DECISION AND CONTROL, CDC, 2023, : 5887 - 5892
  • [34] DIRECT ADAPTIVE CONTROL OF DISCRETE-TIME INFINITE-DIMENSIONAL SYSTEMS IN A HILBERT SPACE
    Balas, Mark J.
    Frost, Susan A.
    PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, 2013, VOL 4B, 2014,
  • [35] Control Law Realification for the Feedback Stabilization of a Class of Diagonal Infinite-Dimensional Systems With Delay Boundary Control
    Lhachemi, Hugo
    Shorten, Robert
    Prieur, Christophe
    IEEE CONTROL SYSTEMS LETTERS, 2019, 3 (04): : 930 - 935
  • [36] ON INFINITE-DIMENSIONAL CONTROL-SYSTEMS WITH STATE AND CONTROL CONSTRAINTS
    PAPAGEORGIOU, NS
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1990, 100 (01): : 65 - 77
  • [37] Variable sampling integral control of infinite-dimensional systems
    Özdemir, N
    Townley, S
    PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 3284 - 3289
  • [38] Control of Hopf bifurcations for infinite-dimensional nonlinear systems
    Xiao, MQ
    Kang, W
    NEW TRENDS IN NONLINEAR DYNAMICS AND CONTROL, AND THEIR APPLICATIONS, 2003, 295 : 101 - 116
  • [39] Saturating Integral Control for Infinite-Dimensional Linear Systems
    Lorenzetti, Pietro
    Paunonen, Lassi
    Vanspranghe, Nicolas
    Weiss, George
    2023 62ND IEEE CONFERENCE ON DECISION AND CONTROL, CDC, 2023, : 1911 - 1918
  • [40] TIME OPTIMAL-CONTROL OF INFINITE-DIMENSIONAL SYSTEMS
    KNOWLES, G
    SIAM JOURNAL ON CONTROL, 1976, 14 (05): : 919 - 933