A new nonlinear system control method using second order derivatives of universal learning network

Author(s):  
K. Hirasawa ◽  
M. Ohbayashi ◽  
M. Hashimoto ◽  
Jinglu Hu ◽  
J. Murata
2013 ◽  
Vol 694-697 ◽  
pp. 2157-2161
Author(s):  
Cong Li ◽  
Xi Min Liu

A nonlinear model of a liquid level process is obtained on the analysis of its nonlinear characteristics. Then a practical nonlinear system control strategy of the liquid level process based on single chip computer is presented. By measuring the liquid level and flow rate, two key parameters of the liquid level process, the amplification coefficient and time constant under different load are calculated. Then the control signal is calculated according to the selected control method and the automatic control of the nonlinear system is realized. The test results are given and it shows that the nonlinear control strategy is better then the linear control strategy. The nonlinear control strategy can improve control quality considerably.


2014 ◽  
Vol 135 ◽  
pp. 79-85 ◽  
Author(s):  
Jun Kang ◽  
Wenjun Meng ◽  
Ajith Abraham ◽  
Hongbo Liu

2018 ◽  
Vol 2018 ◽  
pp. 1-13
Author(s):  
E. A. Shushlyapin ◽  
A. E. Bezuglaya

The paper is devoted to several examples of control algorithm development for two-wheeled double-track robot and low-tonnage vessel-catamaran with two Azipods that show practical aspects of the application of one nonlinear system control method — terminal state method. This method, developed by the authors of the present paper, belongs to the class of methods for inverse dynamics problem solving. Mathematical models of control objects in the form of normal systems of third-order nonlinear differential equations for the wheeled robot and seventh-order ones for the vessel are presented. Design formulas of the method in general form for terminal and stabilizing controls are shown. A routine of obtaining calculation expressions for control actions is shown. Results of computer simulation of bringing the robot to a given point in a given time, as well as bringing the vessel to a given course during a “strong” maneuver, are described.


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