NDLI: Identification and adaptive multi-dimensional Taylor network control of single-input single-output non-linear uncertain time-varying systems with noise disturbances

Content Provider	IET Digital Library
Author	Zhang, Chao Yan, Hong Sen
Abstract	In this paper, an adaptive control approach based on the multi-dimensional Taylor network (MTN) is proposed to control the non-linear uncertain time-varying systems with noise disturbances. MTNs are introduced to formulate adaptive filtering, non-linear identification and optimal control. First, an MTN filter is developed to eliminate the control interference and measurement noise, so that the model output without stochastic disturbance can be obtained. Then, an MTN identifier (MTNI) is so designed as to be capable of dynamic mapping and require fewer weights than traditional neural networks. On the basis of the above, the MTN controller (MTNC) is developed to realise the precise tracking control of the system. The non-linear uncertain time-varying system is identified by MTNI, which then provides sensitivity information of the plant to MTNC to make it adaptive. Furthermore, the skeletonisation algorithm is adopted to remove redundant inputs and redundant regression items from MTNI and MTNC for concise MTNs. Successful convergence and faster learning are guaranteed using the Lyapunov theorem, and the optimal learning rates are identified. Simulation results demonstrate that the proposed approach features its accurate identification, excellent tracking and better anti-interference capability for the adaptive real-time control of uncertain, stochastic and time-varying non-linear systems.
Starting Page	841
Ending Page	853
Page Count	13
ISSN	17518644
Volume Number	13
e-ISSN	17518652
Issue Number	Issue 6, Apr (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/13/6
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5542
Journal	IET Control Theory & Applications
Publisher Date	2019-02-26
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Adaptive Control Adaptive Control Approach Adaptive Filter Adaptive Filtering Control Interference Control System Analysis Control System Synthesis Identification Interpolation And Function Approximation Linear System Lyapunov Method Modelling And Identification MTN Controller Multidimensional Taylor Network Control Neurocontrol Neurocontrollers Noise Disturbances Nonlinear Control System Nonlinear Identification Nonlinear Uncertain Time-varying System Nonlinearity Numerical Analysis Optimal Control Precise Tracking Control Radial Basis Function Network Real Time Control Real-time Performance Self Adjusting Control System Simulation Single-input Single-output Nonlinear Uncertain Time-varying System Statistics Synthesis Method Three-term Control Time Variation Time Varying Control System Time Varying System Uncertain System
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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