Vector Control Lyapunov Functions as a Tool for Decentralized and Distributed Control

被引：0

作者：

Karafyllis, Iasson ^{[1
]}

Jiang, Zhong-Ping ^{[2
]}

机构：

[1] Tech Univ Crete, Dept Environm Engn, Khania 73100, Greece

[2] Polytech Inst New York, Dept Elect & Comp Engn, Brooklyn, NY 11201 USA

来源：

2013 9TH ASIAN CONTROL CONFERENCE (ASCC) | 2013年

关键词：

NONLINEAR DYNAMICAL-SYSTEMS; STABILITY; STABILIZATION; THEOREM;

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：

This paper presents a novel tool based on vector control Lyapunov functions for complex nonlinear control systems. It is shown that the existence of a vector control Lyapunov function is a necessary and sufficient condition for the existence of a smooth globally stabilizing feedback. This main result is then applied to the problem of designing globally stabilizing feedback laws for nonlinear systems. Practically checkable sufficient conditions are proposed to guarantee the existence of a smooth globally stabilizing feedback law.

引用

页数：6

共 50 条

[41] CONTROL OF DECENTRALIZED SYSTEMS WITH DISTRIBUTED CONTROLLER COMPLEXITY
ANDERSON, BDO
LINNEMANN, A
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (07) : 625 - 629
[42] Finite-time stabilization of nonlinear dynamical systems via control vector Lyapunov functions
Nersesov, Sergey G.
Haddad, Wassim M.
Hui, Qing
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2008, 345 (07): : 819 - 837
[43] On receding horizon extensions and control Lyapunov functions
Primbs, JA
Nevistic, V
Doyle, JC
[J]. PROCEEDINGS OF THE 1998 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1998, : 3276 - 3280
[44] Lyapunov functions for impulse and hybrid control systems
Aubin, JP
[J]. PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 466 - 471
[45] Decentralized Control Methods in Hypergraph Distributed Optimization
Papastaikoudis, Ioannis
Lestas, Ioannis
[J]. COMPLEX NETWORKS & THEIR APPLICATIONS XII, VOL 3, COMPLEX NETWORKS 2023, 2024, 1143 : 159 - 170
[46] Separable Control Lyapunov Functions With Application to Prostheses
Gehlhar, Rachel
Ames, Aaron D.
[J]. IEEE CONTROL SYSTEMS LETTERS, 2021, 5 (02): : 559 - 564
[47] ROBUST-CONTROL BY 2 LYAPUNOV FUNCTIONS
QU, ZH
DORSEY, J
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1992, 55 (06) : 1335 - 1350
[48] LINEARLY SOLVABLE STOCHASTIC CONTROL LYAPUNOV FUNCTIONS
Leong, Yoke Peng
Horowitz, Matanya B.
Burdick, Joel W.
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2016, 54 (06) : 3106 - 3125
[49] A family of piecewise affine control Lyapunov functions
Ngoc Anh Nguyen
Olaru, Sorin
[J]. AUTOMATICA, 2018, 90 : 212 - 219
[50] Adaptive Backstepping Control for Vehicular Platoons with Mismatched Disturbances Using Vector String Lyapunov Functions
Song, Zihao
Welikala, Shirantha
Antsaklis, Panos J.
Lin, Hai
[J]. 2023 AMERICAN CONTROL CONFERENCE, ACC, 2023, : 4525 - 4530

← 1 2 3 4 5 →