Ultra High Frequency Polynomial and Trigonometric Higher Order Neural Networks for Control Signal Generator

Ultra High Frequency Polynomial and Trigonometric Higher Order Neural Networks for Control Signal Generator

Ming Zhang (Christopher Newport University, USA)
DOI: 10.4018/978-1-5225-0063-6.ch001
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Abstract

This chapter develops a new nonlinear model, Ultra high frequency Polynomial and Trigonometric Higher Order Neural Networks (UPT-HONN), for control signal generator. UPT-HONN includes UPS-HONN (Ultra high frequency Polynomial and Sine function Higher Order Neural Networks) and UPC-HONN (Ultra high frequency Polynomial and Cosine function Higher Order Neural Networks). UPS-HONN and UPC-HONN model learning algorithms are developed in this chapter. UPS-HONN and UPC-HONN models are used to build nonlinear control signal generator. Test results show that UPS-HONN and UPC-HONN models are better than other Polynomial Higher Order Neural Network (PHONN) and Trigonometric Higher Order Neural Network (THONN) models, since UPS-HONN and UPC-HONN models can generate control signals with error approaching 0.0000%.
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Background

Neural Networks for Control Signals and Control Systems

Artificial Neural Networks have been widely used in the control area. Studies found that artificial neural networks are good tools for system control and control signal generating. Narendra and Parthasarathy (1990) develop identification and control techniques of dynamical systems using artificial neural networks. Arai, Kohon, and Imai (1991) study an adaptive control of neural network with variable function of a unit and its application. Chen and Khalil (1992) develop an adaptive control of nonlinear systems using neural networks. Hu and Shao (1992) show the neural network adaptive control systems. Yamada and Yabuta (1992) investigate a neural network controller which uses an auto-tuning method for nonlinear functions. Campolucci, Capparelli, Guarnieri, Piazza, and Uncini (1996) learn neural networks with adaptive spline activation function. Lewis, Yesildirek, and Liu, (1996) design Multilayer neural-net robot controller with guaranteed tracking performance. Polycarpou (1996) applies stable adaptive neural control scheme for nonlinear systems. Lewis, Jagannathan, and Yesildirek (1998) build neural network control for robot manipulators and non-linear systems.

Norgaard, Ravn, Poulsen, and Hansen (2000) generate neural networks for modelling and control of dynamic systems. Poznyak, Sanchez, and Yu (2000) investigate differential neural networks for robust nonlinear control. Chen and Narendra (2002) present nonlinear adaptive control using neural networks and multiple models. Diao and Passino (2002) examine adaptive neural/fuzzy control for interpolated nonlinear systems. Holubar, Zani, Hager, Froschl, Radak, Braun (2002) explore advanced controlling of anaerobic digestion by means of hierarchical neural networks. Plett (2003) inspects adaptive inverse control of linear and nonlinear systems using dynamic neural networks. Ge, Zhang, and Lee (2004) probe adaptive neural network control for a class of MIMO nonlinear systems with disturbances in discrete-time. Shi and Li (2004) contribute a novel control of a small wind turbine driven generator based on neural networks. Bukovsky, Bila, and Gupta (2005) analyze linear dynamic neural units with time delay for identification and control. Yih, Wei, and Tsu (2005) experiment observer-based direct adaptive fuzzy-neural control for nonffine nonlinear systems. Farrell and Polycarpou (2006) indicate adaptive approximation based control by unifying neural, fuzzy and traditional adaptive approximation approaches. Boutalis, Theodoridis, and Christodoulou (2009) suppose a new neuro FDS definition for indirect adaptive control of unknown nonlinear systems using a method of parameter hopping. Hou, Cheng, and Tan (2009) supply decentralized robust adaptive control for the multiagent system consensus problem using neural networks. Alanis, Sanchez, Loukianov, and Perez-Cisneros (2010) seek real-time discrete neural block control using sliding modes for electric induction motors. Weidong, Yubing, and Xingpei (2010) offer short-term forecasting of wind turbine power generation based on genetic neural network. Kumar, Panwar, Sukavanam, Sharma, and Borm (2011) run neural network-based nonlinear tracking control of kinematically redundant robot manipulators. Pedro, and Dahunsi (2011) grant neural network based feedback linearization control of a servo-hydraulic vehicle suspension system. All of the studies above suggest that artificial neural networks are powerful tools for control signals and control systems

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