Adaptive nonlinear control without overparametrization
Systems & Control Letters
Robust backstepping control of a class of nonlinear systems using fuzzy logic
Information Sciences: an International Journal - Special issue analytical theory of fuzzy control with applications
Nonlinear and Adaptive Control Design
Nonlinear and Adaptive Control Design
Adaptive fuzzy control for strict-feedback canonical nonlinear systems with H∞ tracking performance
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Robust backstepping control of nonlinear systems using neural networks
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Adaptive NN control of uncertain nonlinear pure-feedback systems
Automatica (Journal of IFAC)
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An extended adaptive backstepping method is proposed for nonlinear systems with strict feedback form. The parameters' update laws are designed on uncertainty equivalence. The uncertain parameters converge quickly. The method utilizes the differentiation of the first-order filter to replace the quantity of the differentiation of the virtual control in determining the next virtual control at each step of recursion. Therefore, the problem of explosion of complexity in traditional backstepping design, which is caused by repeated differentiations of certain nonlinear functions such as virtual control, is overcome by introducing the firs-order filter. The response of system is quick. The parameters converge quickly. The control law is simpler. Simulation results demonstrate the proposed method is validity.