Control of elastic systems via passivity-based methods

被引:10
作者
Kelkar, AG [1 ]
Joshi, SM
机构
[1] Iowa State Univ Sci & Technol, Dept Mech Engn, Ames, IA 50011 USA
[2] NASA, Langley Res Ctr, Hampton, VA 23681 USA
关键词
vibration control; elastic systems; passivity; robust control; dissipative systems;
D O I
10.1177/1077546304042066
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
In this paper we present a controller synthesis approach for elastic systems based on the mathematical concept of passivity. For nonlinear and linear elastic systems that are inherently passive, robust control laws are presented that guarantee stability. Examples of such systems include flexible structures with collocated and compatible actuators and sensors, and multibody space-based robotic manipulators. For linear elastic systems that are not inherently passive, methods are presented for rendering them passive by compensation. The "passified" systems can then be robustly controlled by a class of passive linear controllers that guarantee stability despite uncertainties and inaccuracies in the mathematical models. The controller synthesis approach is demonstrated by application to five different types of elastic systems.
引用
收藏
页码:1699 / 1735
页数:37
相关论文
共 43 条
[1]  
ABRISHAMCHIAN M, 1997, P AM CONTR C ALB NM, V6, P3859
[2]   Robust stabilizing compensators for flexible structures with collocated controls [J].
Balakrishnan, AV .
APPLIED MATHEMATICS AND OPTIMIZATION, 1996, 33 (01) :35-60
[3]   COMPENSATOR DESIGN FOR STABILITY ENHANCEMENT WITH COLLOCATED CONTROLLERS - EXPLICIT SOLUTIONS [J].
BALAKRISHNAN, AV .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (03) :505-507
[4]   Controlled Lagrangians and the stabilization of mechanical systems II: Potential shaping [J].
Bloch, AM ;
Chang, DE ;
Leonard, NE ;
Marsden, JE .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (10) :1556-1571
[5]  
GOH KC, 1994, IEEE DECIS CONTR P, P2032, DOI 10.1109/CDC.1994.411441
[6]  
Gosavi SV, 2001, P AMER CONTR CONF, P2492, DOI 10.1109/ACC.2001.946127
[7]  
HILL DJ, 1994, 1994 IEEE CDC WORKS
[8]  
Isidori A, 1999, INT J ROBUST NONLIN, V9, P261, DOI 10.1002/(SICI)1099-1239(19990430)9:5<261::AID-RNC403>3.0.CO
[9]  
2-V
[10]   BENCHMARK PROBLEM SOLUTION BY QUANTITATIVE FEEDBACK THEORY [J].
JAYASURIYA, S ;
YANIV, O ;
NWOKAH, ODI ;
CHAIT, Y .
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1992, 15 (05) :1087-1093