Single Neuron Stochastic Predictive PID Control Algorithm for Nonlinear and Non-Gaussian Systems Using the Survival Information Potential Criterion

• Published in: Entropy (Basel, Switzerland) Vol. 18; no. 6; p. 218
• Main Authors: Ren, Mifeng, Cheng, Ting, Chen, Junghui, Xu, Xinying, Cheng, Lan
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.06.2016
• Subjects: Control theory; Controllers; Criteria; Entropy; Mathematical models; mean square convergence; Neurons; nonlinear and non-Gaussian systems; Nonlinearity; single neuron controller; stochastic predictive control; Stochasticity; survival information potential criterion
• ISSN: 1099-4300; 1099-4300
• DOI: 10.3390/e18060218

This paper presents a novel stochastic predictive tracking control strategy for nonlinear and non-Gaussian stochastic systems based on the single neuron controller structure in the framework of information theory. Firstly, in order to characterize the randomness of the control system, survival information potential (SIP), instead of entropy, is adopted to formulate the performance index, which is not shift-invariant, i.e., its value varies with the change of the distribution location. Then, the optimal weights of the single neuron controller can be obtained by minimizing the presented SIP based predictive control criterion. Furthermore, mean-square convergence of the proposed control algorithm is also analyzed from the energy conservation perspective. Finally, a numerical example is given to show the effectiveness of the proposed method.