A numerical method for computing optimal controls in feedback and digital forms and its application to the blowing-venting control system of manned submarines

2012 ◽  
Vol 34 (2) ◽  
pp. 236-252 ◽  
Author(s):  
R. Font ◽  
P. Pedregal ◽  
F. Periago
2019 ◽  
Vol 24 (2) ◽  
pp. 189-209
Author(s):  
Yatian Pei ◽  
Yong-Kui Chang

In this paper, we mainly consider a control system governed by a Hilfer fractional evolution hemivariational inequality with a nonlocal initial condition. We first establish sufficient conditions for the existence of mild solutions to the addressed control system via properties of generalized Clarke subdifferential and a fixed point theorem for condensing multivalued maps. Then we present the existence of optimal state-control pairs of the limited Lagrange optimal systems governed by a Hilfer fractional evolution hemivariational inequality with a nonlocal initial condition. The optimal control results are derived without uniqueness of solutions for the control system.


2019 ◽  
Vol 142 (1) ◽  
Author(s):  
Qing Tu ◽  
Qingyou Liu ◽  
Shouhong Ji ◽  
Tao Ren ◽  
Yujia Li

Abstract A pipeline inspection gauge (PIG) is an effective device for pipeline cleaning and inspection. Furthermore, a speed-controlled PIG can adjust speed by controlling the bypass valve. The conventional-speed controlled PIG uses batteries as an energy source to adjust the bypass valve. Battery power and other electronic equipment will limit running distance and cause a potential security risk. In this paper, a PIG with a hydraulic automatic control system is presented. The kinematic model of the PIG in the liquid pipeline is obtained by studying the hydraulic automatic control system and PIG movement mechanism with a bypass valve. A numerical method was used to solve the PIG's kinematic model. Through parameter sensitivity analysis, the influence law of each parameter on the entire system is obtained. The case study was conducted by a numerical method, which confirmed that the hydraulic automatically controlled PIG has speed control ability. Compared with a PIG without the speed control system, the hydraulic automatic speed-controlled PIG has better motion performance in the fluctuating pipeline.


2017 ◽  
Vol 2017 ◽  
pp. 1-22 ◽  
Author(s):  
Ján Vittek ◽  
Peter Butko ◽  
Branislav Ftorek ◽  
Pavol Makyš ◽  
Lukáš Gorel

The main contribution of this paper is a new rest-to-rest position control system for use with electric drives employing a.c. motors that is near-optimal with respect to combined electrical and frictional energy waste minimization. The friction has constant, linear, and quadratic components with respect to the rotor speed. The closeness to optimality is assessed by simulation, comparing the energy loss of the new control system with that predicted by computed optimal controls. The application of the near-optimal control system is rendered straightforward by using a symmetrical trapezoidal speed-time profile. This is provided by an energy saving reference position generator whose output is faithfully followed by means of a feedback control law based on forced dynamics control yielding prescribed closed loop dynamics, together with a matched zero dynamic lag precompensator. For load torque consisting of constant, linear, and quadratic components also maneuver time is optimized if it can be chosen arbitrary. Two case studies, one applied to position control of rotational drive and second one applied to train movement, confirm the possibilities of achieving energy savings.


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