Approximation-Based Adaptive Fuzzy Tracking Control for a Class of Nonstrict-Feedback Stochastic Nonlinear Time-Delay Systems
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- 2 December 2014
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Fuzzy Systems
- Vol. 23 (5), 1746-1760
- https://doi.org/10.1109/tfuzz.2014.2375917
Abstract
This paper focuses on the problem of approximation-based adaptive fuzzy tracking control for a class of stochastic nonlinear time-delay systems with a nonstrict-feedback structure. A variable separation approach is introduced to overcome the design difficulty from the nonstrict-feedback structure. Mamdani-type fuzzy logic systems are utilized to model the unknown nonlinear functions in the process of controller design, and an adaptive fuzzy tracking controller is systematically designed by using a backstepping technique. It is shown that the proposed controller guarantees that all signals in the closed-loop system are fourth-moment semiglobally uniformly ultimately bounded, and the tracking error eventually converges to a small neighborhood of the origin in the sense of mean quartic value. Simulation results are provided to demonstrate the effectiveness of our results. Further developments will consider how to generalize the proposed strategy to nonstrict-feedback nonlinear systems with input nonlinearities.Keywords
Funding Information
- National Natural Science Foundation of China (61304002, 61473160, 61333012, 61304003)
- Education Department of Liaoning Province (L2013424)
- Program for Liaoning Innovative Research Team in University (LT2013023)
This publication has 50 references indexed in Scilit:
- Robust Adaptive Fuzzy Tracking Control for Pure-Feedback Stochastic Nonlinear Systems With Input ConstraintsIEEE Transactions on Cybernetics, 2013
- Adaptive Sliding-Mode Control for Nonlinear Active Suspension Vehicle Systems Using T–S Fuzzy ApproachIEEE Transactions on Industrial Electronics, 2012
- Observer-Based Adaptive Fuzzy Backstepping Control for a Class of Stochastic Nonlinear Strict-Feedback SystemsIEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 2011
- Adaptive neural control for uncertain stochastic nonlinear strict-feedback systems with time-varying delays: A Razumikhin functional methodNeurocomputing, 2011
- Adaptive NN output‐feedback decentralized stabilization for a class of large‐scale stochastic nonlinear strict‐feedback systemsInternational Journal of Robust and Nonlinear Control, 2011
- Adaptive Neural Network Tracking Control of MIMO Nonlinear Systems With Unknown Dead Zones and Control DirectionsIEEE Transactions on Neural Networks, 2009
- NN-Based Adaptive Tracking Control of Uncertain Nonlinear Systems Disturbed by Unknown Covariance NoiseIEEE Transactions on Neural Networks, 2007
- Adaptive H∞ Control Using Backstepping Design and Neural NetworksJournal of Dynamic Systems, Measurement, and Control, 2004
- Adaptive neural network control for a class of uncertain nonlinear systems in pure-feedback formAutomatica, 2002
- Direct adaptive NN control of a class of nonlinear systemsIEEE Transactions on Neural Networks, 2001