In this paper, a robust adaptive fuzzy dynamic surface control for a class of uncertain nonlinear systems is proposed. A novel adaptive fuzzy dynamic surface model is built to approximate the uncertain nonlinear funct...In this paper, a robust adaptive fuzzy dynamic surface control for a class of uncertain nonlinear systems is proposed. A novel adaptive fuzzy dynamic surface model is built to approximate the uncertain nonlinear functions by only one fuzzy logic system. The approximation capability of this model is proved and the model is implemented to solve the problem that too many approximators are used in the controller design of uncertain nonlinear systems. The shortage of ＂explosion of complexity＂ in backstepping design procedure is overcome by using the proposed dynamic surface control method. It is proved by constructing appropriate Lyapunov candidates that all signals of closed-loop systems are semi-globally uniformly ultimate bounded. Also, this novel controller stabilizes the states of uncertain nonlinear systems faster than the adaptive sliding mode controller （SMC）. Two simulation examples are provided to illustrate the effectiveness of the control approach proposed in this paper.展开更多
Based on Lukasiewicz's three-valued logic,this paper builds a tri-ary uncertain reasoningmodel,and discusses its some basic properties which shows that it is consistent with our intu-itions. The characters of our ...Based on Lukasiewicz's three-valued logic,this paper builds a tri-ary uncertain reasoningmodel,and discusses its some basic properties which shows that it is consistent with our intu-itions. The characters of our model are as follows: 1)its measure for uncertainty is a distribution onthe true-value set of the multi-valued logic, 2)its propagation for uncertainties is related with theoperation of the logic,and 3) its parallel propagation follows a consertative展开更多
基金National Natural Science Foundation of P. R. China (60574027)Opening Project of National Laboratory of Indus-trial Control Technology of Zhejiang University (0708001)
基金supported by National Natural Science Foundation of China (No. 60525303 and 60704009)Key Research Program of Hebei Education Department (No. ZD200908)
文摘In this paper, a robust adaptive fuzzy dynamic surface control for a class of uncertain nonlinear systems is proposed. A novel adaptive fuzzy dynamic surface model is built to approximate the uncertain nonlinear functions by only one fuzzy logic system. The approximation capability of this model is proved and the model is implemented to solve the problem that too many approximators are used in the controller design of uncertain nonlinear systems. The shortage of ＂explosion of complexity＂ in backstepping design procedure is overcome by using the proposed dynamic surface control method. It is proved by constructing appropriate Lyapunov candidates that all signals of closed-loop systems are semi-globally uniformly ultimate bounded. Also, this novel controller stabilizes the states of uncertain nonlinear systems faster than the adaptive sliding mode controller （SMC）. Two simulation examples are provided to illustrate the effectiveness of the control approach proposed in this paper.
基金supported by National Natural Science Foundation of China(61403118,61174073,61233002,11271106)the IAPI Fundamental Research Funds(2013ZCX03-01)+1 种基金the Natural Science Foundation of Hebei Province(F2015201088)the Science and Technology Foundation of Hebei Province(QN20131056)
文摘Based on Lukasiewicz's three-valued logic,this paper builds a tri-ary uncertain reasoningmodel,and discusses its some basic properties which shows that it is consistent with our intu-itions. The characters of our model are as follows: 1)its measure for uncertainty is a distribution onthe true-value set of the multi-valued logic, 2)its propagation for uncertainties is related with theoperation of the logic,and 3) its parallel propagation follows a consertative
