A Nonlinear Controller for Input Amplitude and Rate Constrained Linear Systems

被引：19
作者：
Kefferpuetz, Klaus [1 ]
Fischer, Boris [2 ]
Adamy, Juergen [3 ]
机构：
[1] MBDA Deutschland GmbH, D-86529 Schrobenhausen, Germany
[2] Fraunhofer IWES, Div Control Engn & Energy Storages, D-34119 Kassel, Germany
[3] Tech Univ Darmstadt, Control Theory & Robot Lab, Inst Automat Control & Mechatron, D-64283 Darmstadt, Germany
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2013年 / 58卷 / 10期
关键词：
Input constraints; rate constraints; soft variable-structure control; DESIGN METHOD; STABILIZATION; SUBJECT; SATURATION;
D O I：
10.1109/TAC.2013.2257967
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 technical note presents a nonlinear state feedback controller for systems with linear dynamics subject to an amplitude and rate limited actuator. The nonlinear state feedback facilitates faster convergence compared to linear state feedback while guaranteeing domains of attraction of similar size. The parametrization of the controller is done solving a convex optimization problem based on linear matrix inequalities (LMIs). Finally, an example illustrates that the controller achieves large stability regions and short settling times.
引用
收藏
页码：2693 / 2697
页数：5
相关论文
共 24 条
[1]   Implicit Lyapunov functions and isochrones of linear systems [J].
Adamy, J .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (06) :874-879
[2]   Soft variable-structure controls: a survey [J].
Adamy, J ;
Flemming, A .
AUTOMATICA, 2004, 40 (11) :1821-1844
[3]  
Adamy J., 1991, THESIS U DORTMUND DU
[4]   An analysis and design method for linear systems under nested saturation [J].
Bateman, A ;
Lin, ZL .
SYSTEMS & CONTROL LETTERS, 2003, 48 (01) :41-52
[5]  
Bernstein D. S., 2005, MATRIX MATH THEORY F
[6]  
Boyd S., 1994, LINEAR MATRIX INEQUA
[7]   Local stabilization of linear systems under amplitude and rate saturating actuators [J].
da Silva, JMG ;
Tarbouriech, S ;
Garcia, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (05) :842-847
[8]  
Hippe P., 2006, Windup in control
[9]  
Hu Tingshu, 2001, CONTROL ENGN SER
[10]   An analysis and design method for linear systems subject to actuator saturation and disturbance [J].
Hu, TS ;
Lin, ZL ;
Chen, BM .
AUTOMATICA, 2002, 38 (02) :351-359
123