An LMI approach to H∞ boundary control of semilinear parabolic and hyperbolic systems

被引：120

作者：

Fridman, Emilia ^{[1
]}

Orlov, Yury ^{[2
]}

机构：

[1] Tel Aviv Univ, Dept Elect Engn, IL-69978 Tel Aviv, Israel

[2] CICESE Res Ctr, Ensenada 22860, Baja California, Mexico

来源：

AUTOMATICA | 2009年 / 45卷 / 09期

关键词：

Distributed parameter systems; Stability; H-infinity control; Lyapunov functional; LMI; STABILIZATION;

D O I：

10.1016/j.automatica.2009.04.026

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Exponential stability analysis and L-2-gain analysis are developed for scalar uncertain distributed parameter systems, governed by semilinear partial differential equations of parabolic and hyperbolic types. Sufficient exponential stability conditions with a given decay rate are derived in the form of Linear Matrix Inequalities (LMIs) for both systems. These conditions are then utilized to synthesize H-infinity static output feedback boundary controllers of the systems in question. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2060 / 2066

页数：7

共 50 条

[31] Robust Output Feedback Control of a Class of Discrete Fuzzy Systems: An LMI Approach
He, Guannan
Ji, Jing
PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 3814 - 3819
[32] Feedback boundary control of linear hyperbolic systems with relaxation
Herty, Michael
Yong, Wen-An
AUTOMATICA, 2016, 69 : 12 - 17
[33] Dynamic Boundary Fuzzy Control Design of Semilinear Parabolic PDE Systems With Spatially Noncollocated Discrete Observation
Wang, Jun-Wei
IEEE TRANSACTIONS ON CYBERNETICS, 2019, 49 (08) : 3041 - 3051
[34] VISCOUS BOUNDARY LAYERS IN HYPERBOLIC-PARABOLIC SYSTEMS WITH NEUMANN BOUNDARY CONDITIONS
Gues, Olivier
Metivier, Guy
Williams, Mark
Zumbrun, Kevin
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2014, 47 (01): : 181 - 243
[35] Boundary feedback control for hyperbolic systems
Herty, Michael
Thein, Ferdinand
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2024, 30
[36] Alternative algebraic approach to stabilization for linear parabolic boundary control systems
Nambu, Takao
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2014, 26 (01) : 119 - 144
[37] Alternative algebraic approach to stabilization for linear parabolic boundary control systems
Takao Nambu
Mathematics of Control, Signals, and Systems, 2014, 26 : 119 - 144
[38] H∞ Control for Continuous-time T-S Fuzzy Systems Using Fuzzy Lyapunov Functions: A LMI Approach
Chang, Xiao-Heng
Hong, Liang
Feng, Yi-Fu
2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 2519 - +
[39] Fuzzy Boundary Control Design for a Class of Nonlinear Parabolic Distributed Parameter Systems
Wu, Huai-Ning
Wang, Jun-Wei
Li, Han-Xiong
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2014, 22 (03) : 642 - 652
[40] Exact Observability of Semilinear Multidimensional Wave Equations: an LMI approach
Fridman, Emilia
Terushkin, Maria
2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 2507 - 2512

← 1 2 3 4 5 →