Title :
Real-time, adaptive, model-independent control of low-dimensional chaotic and nonchaotic dynamical systems
Author :
Christini, David J. ; Collins, James J.
Author_Institution :
Dept. of Biomed. Eng., Boston Univ., MA, USA
fDate :
10/1/1997 12:00:00 AM
Abstract :
Current model-independent control techniques are limited, from a practical standpoint, by their dependence on a precontrol learning stage. Here we develop a model-independent control technique, for chaotic and nonchaotic low-dimensional dynamical systems, that operates in real-time (i.e., it does not require a learning stage). We show that this technique is adaptive to system nonstationarities, robust to noise, and capable of stabilizing higher-order unstable periodic orbits. Because this technique is real-time, adaptive, and model-independent, it is practical for real-world systems
Keywords :
adaptive control; chaos; nonlinear control systems; nonlinear dynamical systems; real-time systems; chaotic system; low-dimensional dynamical system; noise robustness; nonchaotic system; real-time adaptive model-independent control; system nonstationarity; unstable periodic orbit; Adaptive control; Adaptive systems; Chaos; Control system synthesis; Control systems; Noise robustness; Nonlinear equations; Orbits; Programmable control; Real time systems;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on