Dynamic dissipativity theory for stability of nonlinear feedback dynamical systems

被引:0
|
作者
Chellaboina, VijaySekhar [1 ]
Haddad, Wassim M. [1 ]
Kamath, Ajeet [1 ]
机构
[1] Univ Tennessee, Dept Mech Aerosp & Biomed Engn, Knoxville, TN 37996 USA
关键词
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A key result from dissipativity theory states that if two systems are dissipative with respect to compatible supply rates, then the feedback interconnection of the two systems is stable. In this paper, we extend this result to show that the stability result is valid even if the two systems are dynamic dissipative, where we define a system to be dynamic dissipative if the system cascaded with another (static or dynamic) operator is dissipative. The notion of dynamic dissipativity unifies and extends the classical dissipativity theory, Integral Quadratic Constraints (IQCs), and the multiplier theory method from the absolute stability theory.
引用
收藏
页码:4748 / 4753
页数:6
相关论文
共 50 条
  • [1] Partial Dissipativity Theory and Partial Stability of Feedback Interconnections for Nonlinear Dynamical Systems
    Rajpurohit, Tanmay
    Haddad, Wassim M.
    2019 AMERICAN CONTROL CONFERENCE (ACC), 2019, : 3069 - 3074
  • [2] Dissipativity theory and stability of feedback interconnections for hybrid dynamical systems
    Haddad, WM
    Chellaboina, V
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2001, 7 (04) : 299 - 335
  • [3] Dissipativity theory and stability of feedback interconnections for hybrid dynamical systems
    Haddad, WM
    Chellaboina, V
    PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2000, : 2688 - 2694
  • [4] Dissipativity Theory for Nonlinear Stochastic Dynamical Systems
    Rajpurohit, Tanmay
    Haddad, Wassim M.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (04) : 1684 - 1699
  • [5] Vector dissipativity theory for large-scale nonlinear dynamical systems
    Haddad, WM
    Chellaboina, V
    Nersesov, SG
    2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 3424 - 3429
  • [6] Dissipativity theory for discrete-time nonlinear stochastic dynamical systems
    Haddad, Wassim M.
    Lanchares, Manuel
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 32 (11) : 6293 - 6314
  • [7] Vector dissipativity theory and stability of feedback interconnections for large-scale non-linear dynamical systems
    Haddad, WM
    Chellaboina, V
    Nersesov, SG
    INTERNATIONAL JOURNAL OF CONTROL, 2004, 77 (10) : 907 - 919
  • [8] Dissipativity Theory for Discrete-Time Nonlinear Stochastic Dynamical Systems, Part II: Kalman-Yakubovich-Popov Conditions and Stability of Feedback Interconnections
    Haddad, Wassim M.
    Lanchares, Manuel
    2022 AMERICAN CONTROL CONFERENCE, ACC, 2022, : 838 - 843
  • [9] Stability and dissipativity theory for nonnegative dynamical systems: A thermodynamic framework for biological and physiological systems
    Haddad, WM
    Chellaboina, V
    August, E
    PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 442 - 458
  • [10] Stability and dissipativity theory for discrete-time nonnegative and compartmental dynamical systems
    Haddad, WM
    Chellaboina, V
    August, E
    PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 4236 - 4241