Journal ArticleDOI
Brief paper: Adaptive dynamic surface control of nonlinear systems with unknown dead zone in pure feedback form
Tao Zhang,Shuzhi Sam Ge +1 more
TLDR
It is proved that the proposed design method is able to guarantee semi-global uniform ultimate boundedness of all signals in the closed-loop system, with arbitrary small tracking error by appropriately choosing design constants.About:
This article is published in Automatica.The article was published on 2008-07-01. It has received 688 citations till now. The article focuses on the topics: Adaptive control & Backstepping.read more
Citations
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Journal ArticleDOI
Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints
TL;DR: The auxiliary design system is introduced to analyze the effect of input constraints, and its states are used to adaptive tracking control design, and the closed-loop semi-global uniformly ultimate bounded stability is achieved via Lyapunov synthesis.
Journal ArticleDOI
Robust Adaptive Neural Network Control for a Class of Uncertain MIMO Nonlinear Systems With Input Nonlinearities
TL;DR: It is proved that the proposed robust backstepping control is able to guarantee semiglobal uniform ultimate boundedness of all signals in the closed-loop system.
Journal ArticleDOI
Observer-Based Adaptive Fuzzy Backstepping Control for a Class of Stochastic Nonlinear Strict-Feedback Systems
TL;DR: It is proved that these two control approaches can guarantee that all the signals of the closed-loop system are semi-globally uniformly ultimately bounded (SGUUB) in mean square, and the observer errors and the output of the system converge to a small neighborhood of the origin.
Journal ArticleDOI
Adaptive output-feedback control design with prescribed performance for switched nonlinear systems
TL;DR: An output feedback control method with prescribed performance is proposed for single-input and single-output (SISO) switched non-strict-feedback nonlinear systems and it is shown that all the signals in the resulting closed-loop system are semi-globally uniformly ultimately bounded.
Journal ArticleDOI
A low-complexity global approximation-free control scheme with prescribed performance for unknown pure feedback systems
TL;DR: The proposed state feedback controller isolates the aforementioned output performance characteristics from control gains selection and exhibits strong robustness against model uncertainties, while completely avoiding the explosion of complexity issue raised by backstepping-like approaches that are typically employed to the control of pure feedback systems.
References
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Book
Nonlinear and adaptive control design
TL;DR: In this paper, the focus is on adaptive nonlinear control results introduced with the new recursive design methodology -adaptive backstepping, and basic tools for nonadaptive BackStepping design with state and output feedbacks.
Journal ArticleDOI
On the approximate realization of continuous mappings by neural networks
TL;DR: It is proved that any continuous mapping can be approximately realized by Rumelhart-Hinton-Williams' multilayer neural networks with at least one hidden layer whose output functions are sigmoid functions.
Book
Adaptive Fuzzy Systems and Control: Design and Stability Analysis
TL;DR: This paper presents a meta-analysis of the design and stability analysis of fuzzy identifiers of nonlinear dynamic systems fuzzy adaptive filters of adaptive fuzzy controllers using input-output linearization concepts.
Journal ArticleDOI
Dynamic surface control for a class of nonlinear systems
TL;DR: A method is proposed for designing controllers with arbitrarily small tracking error for uncertain, mismatched nonlinear systems in the strict feedback form and it is shown that these low pass filters allow a design where the model is not differentiated, thus ending the complexity arising due to the "explosion of terms" that has made other methods difficult to implement in practice.