Autopilot is an important navigation instrument,and it plays an important role in safe navigation In order to further improve the performance of the autopilot,this paper adopts the first-order closed loop gain shaping...Autopilot is an important navigation instrument,and it plays an important role in safe navigation In order to further improve the performance of the autopilot,this paper adopts the first-order closed loop gain shaping algorithm(PID)to designautopilot control algo rithm with robustness and uses tangent function nonlinear feedback technology to replace the linear feedback to improve the energy saving effect of autopilot.Taking Dalian Maritime University’s newly-built YUPENG ship as anexample,the simulation research is carried out.The results show that the control effect is still satisfactory when the model parameterschange by25%,which suggests that the designed autopilot algorithm has good robustness.Compared with linearfeedback,nonlinear feedback can save7.9%of energy.The algo rithm proposed in this paper is simple and has obvious physicalmeaning.At the same time,the control algorithm is also helpful for the localization of controller design展开更多
Making use of a new generalized ans?tze and a proper transformation, we generalized the extended tanh-function method. Applying the generalized method with the aid of Maple, we consider some nonlinear evolution equati...Making use of a new generalized ans?tze and a proper transformation, we generalized the extended tanh-function method. Applying the generalized method with the aid of Maple, we consider some nonlinear evolution equations. As a result, we can successfully recover the previously known solitary wave solutions that had been found by the extended tanh-function method and other more sophisticated methods. More importantly, for some equations, we also obtain other new and more general solutions at the same time. The results include kink-profile solitary-wave solutions, bell-profile solitary-wave solutions, periodic wave solutions, rational solutions, singular solutions and new formal solutions.展开更多
In this paper, a new extended complex tanh-function method is presented for constructing traveling wave, non-traveling wave, and coefficient functions＇ soliton-like solutions of nonlinear equations. This method is mo...In this paper, a new extended complex tanh-function method is presented for constructing traveling wave, non-traveling wave, and coefficient functions＇ soliton-like solutions of nonlinear equations. This method is more powerful than the complex tanh-function method [Chaos, Solitons and Fractals 20 （2004） 1037]. Abundant new solutions o[ （2q-1）-dimensional Hirota equation are obtained by using this method and symbolic computation system Maple.展开更多
In this paper, we generalize the extended tanh-function approach, which was used to find new exact travelling wave solutions of nonlinear partial differential equations or coupled nonlinear partial differential equati...In this paper, we generalize the extended tanh-function approach, which was used to find new exact travelling wave solutions of nonlinear partial differential equations or coupled nonlinear partial differential equations, to nonlinear differential-difference equations. As illustration, two series of exact travelling wave solutions of the discrete sine-Gordon equation are obtained by means of the extended tanh-function approach.展开更多
基金National Nature Science Foundation of China(No.51679024)Fundamental Research Funds for the Central University(No.3132016315)
文摘Autopilot is an important navigation instrument,and it plays an important role in safe navigation In order to further improve the performance of the autopilot,this paper adopts the first-order closed loop gain shaping algorithm(PID)to designautopilot control algo rithm with robustness and uses tangent function nonlinear feedback technology to replace the linear feedback to improve the energy saving effect of autopilot.Taking Dalian Maritime University’s newly-built YUPENG ship as anexample,the simulation research is carried out.The results show that the control effect is still satisfactory when the model parameterschange by25%,which suggests that the designed autopilot algorithm has good robustness.Compared with linearfeedback,nonlinear feedback can save7.9%of energy.The algo rithm proposed in this paper is simple and has obvious physicalmeaning.At the same time,the control algorithm is also helpful for the localization of controller design
文摘Making use of a new generalized ans?tze and a proper transformation, we generalized the extended tanh-function method. Applying the generalized method with the aid of Maple, we consider some nonlinear evolution equations. As a result, we can successfully recover the previously known solitary wave solutions that had been found by the extended tanh-function method and other more sophisticated methods. More importantly, for some equations, we also obtain other new and more general solutions at the same time. The results include kink-profile solitary-wave solutions, bell-profile solitary-wave solutions, periodic wave solutions, rational solutions, singular solutions and new formal solutions.
基金The project supported by National Natural Science Foundation of China and the Natural Science Foundation of Shandong Province of China
文摘In this paper, a new extended complex tanh-function method is presented for constructing traveling wave, non-traveling wave, and coefficient functions＇ soliton-like solutions of nonlinear equations. This method is more powerful than the complex tanh-function method [Chaos, Solitons and Fractals 20 （2004） 1037]. Abundant new solutions o[ （2q-1）-dimensional Hirota equation are obtained by using this method and symbolic computation system Maple.
文摘In this paper, we generalize the extended tanh-function approach, which was used to find new exact travelling wave solutions of nonlinear partial differential equations or coupled nonlinear partial differential equations, to nonlinear differential-difference equations. As illustration, two series of exact travelling wave solutions of the discrete sine-Gordon equation are obtained by means of the extended tanh-function approach.
