Title: Minimum entropy control of non-linear TITO systems with random delays

Authors: J.H. Zhang, A.P. Wang, H. Wang

Addresses: Beijing Key Laboratory of Industrial Process Measurement and Control New Technology and System, North China Electric Power University, Beijing, 102206, PR China. ' Institute of Computer Sciences, Anhui University, Hefei, 100050, Anhui Province, PR China. ' Control Systems Centre, School of Electrical Engineering and Electronics, The University of Manchester, P.O. Box 88, Manchester, M60 1QD, UK

Abstract: This paper presents a control system design strategy for non-linear two inputs and two outputs (TITO) systems with random delays. In order to cast the TITO feedback control systems into a general framework, the stochastic characteristics induced by uncertain time delays are represented by the entropy of tracking errors. The performance index of the control systems is constructed and emphasised. Back propagation (BP) neural networks are employed as PID controllers to deal with both non-linearity and randomness. The convergence condition in the mean-square sense is analysed. The methodology is illustrated by simulations.

Keywords: nonlinear systems; time delay; neural networks; entropy control; random delays; control design; feedback control; tracking errors; PID controllers; simulation.

DOI: 10.1504/IJAMECHS.2009.026331

International Journal of Advanced Mechatronic Systems, 2009 Vol.1 No.4, pp.258 - 265

Published online: 06 Jun 2009 *

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