A combined backstepping and small-gain approach to robust adaptive fuzzy control for strict-feedback nonlinear systems

By Yansheng Yang, Gang Feng, Junsheng Ren. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans, 2004

410 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/ce578332c50f1096a1eb79d28bcb2c69fbb5e283

How researchers see this paper

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In Control and Systems Engineering

1. Shaocheng Tong
2. Yong-ming Li
3. Peng Shi
4. Hongyi Li
5. Tie-shan Li
6. Qi Zhou
7. Xiaoping Liu
8. Mou Chen

Citations in the corpus

• Adaptive NN Backstepping Output-Feedback Control for Stochastic Nonlinear Strict-Feedback Systems With Time-Varying Delays (2010, methodology): “In practical applications, NNs are often used as approximators to model unknown system functions, and many important results on adaptive backstepping NN (or fuzzy [49]) control have been obtained in the past years, e.”
• Adaptive Neural Fault-Tolerant Control of a 3-DOF Model Helicopter System (2016, neutral): “2426140 external disturbances and large uncertainties [2]–[8].”
• Observer-Based Adaptive Neural Network Control for Nonlinear Stochastic Systems With Time Delay (2013, methodology): “This problem was considered in [40] by considering the norm of ideal weighting vector in fuzzy logic systems as the estimation parameter instead of the elements of weighting vector, and was also studied in [41] by developing a direct adaptive method for a class of nonlinear systems.”
• A DSC Approach to Robust Adaptive NN Tracking Control for Strict-Feedback Nonlinear Systems (2008, methodology): “The parameter values with appropriate units are given in [23] by D = 1, B = 1, M = 0.”
• A Combined Backstepping and Small-Gain Approach to Robust Adaptive Fuzzy Output Feedback Control (2009, methodology): “The applications of these approaches are limited by their requirement of satisfying the matching conditions: Only when the unknown nonlinearities can satisfy the matching conditions can these adaptive fuzzy control approaches be applied [26], [27].”
• Adaptive Control of a Class of Nonlinear Pure-Feedback Systems Using Fuzzy Backstepping Approach (2008, methodology): “Two robust adaptive controllers were designed in [4] by employing input-to-state stability theory and by combining the backstepping technique with a generalized small-gain approach.”
• Adaptive Fuzzy Control of a Class of Nonlinear Systems by Fuzzy Approximation Approach (2012, background): “The first one estimates each element of Wi [36], [37], and the second one estimates its norm [45].”
• Robust Adaptive Tracking Control for Nonlinear Systems Based on Bounds of Fuzzy Approximation Parameters (2010, methodology): “Various feedback strategies presented in the literature [14], [18], [25], [29] can guarantee the stability of the corresponding closed-loop system.”