Global optimization in stabilizing controller design

被引：16

作者：

Chang, YoungJung ^{[1
]}

Sahinidis, Nikolaos V. ^{[1
]}

机构：

[1] Univ Illinois, Dept Chem & Biomol Engn, Urbana, IL 61801 USA

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2007年 / 38卷 / 04期

关键词：

stability; simultaneous stabilization; linear controller design; global optimization; Belgian chocolate problem;

D O I：

10.1007/s10898-006-9092-2

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we develop a global optimization methodology to solve stabilization problems. We first formulate stabilization problems as bilevel programming problems. By invoking the Hurwitz stability conditions, we reformulate these bilevel programs to equivalent single-level nonconvex optimization programs. The branch-and-reduce global optimization algorithm is finally applied to these problems. Using the proposed methodology, we report improved solutions for two feedback stabilization problems from the literature. In addition, we improve the lower bound of the stabilizability parameter of the Belgian chocolate problem from the previous best known 0.96 to 0.973974.

引用

页码：509 / 526

页数：18

共 50 条

[41] A new Stabilizing Controller Design based on the Wireless Networked Control System
Guo, Xiaohua
2013 INTERNATIONAL CONFERENCE ON PROCESS EQUIPMENT, MECHATRONICS ENGINEERING AND MATERIAL SCIENCE, 2013, 331 : 294 - 298
[42] Stabilizing fractional order controller design for first and second order systems
Ben Hmed, A.
Amairi, M.
Aoun, M.
2015 IEEE 12TH INTERNATIONAL MULTI-CONFERENCE ON SYSTEMS, SIGNALS & DEVICES (SSD), 2015,
[43] Design of Stabilizing Controller for Uncertain Nonlinear Systems under Input Saturation
Dang, Q. V.
Vermeiren, L.
Dequidt, A.
Dambrine, M.
2015 AMERICAN CONTROL CONFERENCE (ACC), 2015, : 5974 - 5979
[44] Stabilizing backstepping controller design for arbitrarily switched complex nonlinear system
Yin, Qitian
Wang, Mao
Jing, He
APPLIED MATHEMATICS AND COMPUTATION, 2020, 369
[45] Controller design for stabilizing bilinear systems with state-based switching
Lin, Shu
De Schutter, Bart
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2021, 41
[46] Stabilizing Adaptive Feedback Controller Design for a Helicopter Gun Turret System
Uyulan, Caglar
Yavuz, Mustafa Tolga
Ozkol, Ibrahim
2023 10TH INTERNATIONAL CONFERENCE ON RECENT ADVANCES IN AIR AND SPACE TECHNOLOGIES, RAST, 2023,
[47] Design of Robust Stochastic Controller for Stabilizing Queues of TCP/AQM System
Hong, L.
Sathananthan, S.
Keel, L. H.
STOCHASTIC ANALYSIS AND APPLICATIONS, 2012, 30 (01) : 146 - 159
[48] Fuzzy PID Controller Design For DILAG's Frequency Stabilizing System
Liao Dan
Yang Jian-qiang
Yuan Bao-lun
Rao Gu-ying
2ND IEEE INTERNATIONAL CONFERENCE ON ADVANCED COMPUTER CONTROL (ICACC 2010), VOL. 3, 2010, : 177 - 181
[49] Robust LQR Controller Design for Stabilizing and Trajectory Tracking of Inverted Pendulum
Kumar, Vinodh E.
Jerome, Jovitha
INTERNATIONAL CONFERENCE ON DESIGN AND MANUFACTURING (ICONDM2013), 2013, 64 : 169 - 178
[50] Stabilizing Controller Design for State-based Switching Bilinear Systems
Lin, Shu
De Schutter, Bart
Li, Dewei
2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, : 6452 - 6457

← 1 2 3 4 5 →