Laplace domain controllers for chaos control

被引:11
作者
Femat, R
Capistrán-Tobías, J
Solís-Perales, G
机构
[1] Univ Autonoma San Luis Potosi, Fac Ciencias Quim, Ctr Invest & Estudios Posgrado, San Luis Potosi 78231, Mexico
[2] Univ Autonoma San Luis Potosi, Fac Ingn, Ctr Invest & Estudios Posgrado, San Luis Potosi 78231, Mexico
关键词
chaos suppression; chaos stabilization; robust feedback;
D O I
10.1016/S0375-9601(98)00915-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A Laplace domain controller and its application to the chaos control are presented:. The controller has three feedback parts: (i) proportional action, (ii) integral action and (iii) quadratic integral action. The first one yields a feedback signal proportional to the control error. The second one includes a reset action. The last part provides a dynamic estimation of the external signal. The problem of the suppression and stabilization can be addressed using the proposed feedback. Numerical simulations show the practical implementation is possible. (C) 1999 Published by Elsevier Science B.V.
引用
收藏
页码:27 / 36
页数:10
相关论文
共 18 条
[1]   A PI controller with disturbance estimation [J].
AlvarezRamirez, J ;
Femat, R ;
Barreiro, A .
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 1997, 36 (09) :3668-3675
[2]   Bifurcation control of two nonlinear models of cardiac activity [J].
Brandt, ME ;
Chen, GR .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1997, 44 (10) :1031-1034
[3]   Real-time, adaptive, model-independent control of low-dimensional chaotic and nonchaotic dynamical systems [J].
Christini, DJ ;
Collins, JJ .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1997, 44 (10) :1027-1030
[4]  
DAZZO JJ, 1975, LINEAR CONTROL SYSTE
[5]  
DOYLE J, 1992, FEEDBACK CONTROL THE
[6]   A control scheme for the motion of a magnet supported by type-II superconductor [J].
Femat, R .
PHYSICA D, 1998, 111 (1-4) :347-355
[7]   Chaotic behavior from a human biological signal [J].
Femat, R ;
AlvarezRamirez, J ;
Zarazua, M .
PHYSICS LETTERS A, 1996, 214 (3-4) :175-179
[8]   Synchronization of a class of strictly different chaotic oscillators [J].
Femat, R ;
Alvarez-Ramirez, J .
PHYSICS LETTERS A, 1997, 236 (04) :307-313
[9]   A strategy to control chaos in nonlinear driven oscillators with least prior knowledge [J].
Femat, R ;
AlvarezRamirez, J ;
Gonzalez, J .
PHYSICS LETTERS A, 1997, 224 (4-5) :271-276
[10]   Dynamic control of cardiac alternans [J].
Hall, K ;
Christini, DJ ;
Tremblay, M ;
Collins, JJ ;
Glass, L ;
Billette, J .
PHYSICAL REVIEW LETTERS, 1997, 78 (23) :4518-4521