Open AccessEnergy minimization control for a discrete chaotic system
Author(s) -
Ding Liu,
Fucai Qian,
Hang Ren,
Kong Zhi-Qiang
Publication year - 2004
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.53.2074
Subject(s) - nonlinear system , chaotic , minification , optimal control , computer science , control theory (sociology) , quadratic equation , energy (signal processing) , energy minimization , chaos (operating system) , mathematical optimization , function (biology) , nonlinear programming , control (management) , mathematics , physics , computer security , quantum mechanics , artificial intelligence , statistics , geometry , evolutionary biology , biology
A general framework algorithm is proposed for energy minimization control for a discrete chaotic system. A quadratic performance function is first given and the chaotic system is decomposed into a linear and a nonlinear parts. Then, the twolevel algorithm is presented to solve the nonlinear optimal control problem: The first level predicates the nonlinear part of the chaos system; the second level solves a nonlinear quadratic optimization control problem by dynamic programming. The solution is fed back into the first level. The first level re-estimates the nonlinear part according to the solution from the second level. The information has been exchanged between the two levels by this means such that the optimal control law is obtained eventually. This method not only can make the control of chaos system be realized but also makes the energy consumed minimal during the whole control process.Simulations show the effectiveness of this algorithms.