scholarly journals Design of an embedded control system based on the quasi-time optimal control law when limiting the control signal for the ball and beam system

2019 ◽  
Author(s):  
C. X. Nguyen ◽  
H. N. Phan ◽  
A. D. Lukianov ◽  
T. D. Pham ◽  
T. T. Nguyen ◽  
...  
Keyword(s):  
Optimal Control ◽  
Control System ◽  
Control Signal ◽  
Time Optimal Control ◽  
Control Law ◽  
Embedded Control ◽  
Embedded Control System ◽  
Beam System ◽  
Time Optimal ◽  
Ball And Beam System

Simple anti-swing feedback control for a gantry crane

Robotica ◽  
2003 ◽  
Vol 21 (6) ◽  
pp. 655-666 ◽  
Author(s):  
Yannick Aoustin ◽  
Alexander Formal'sky
Keyword(s):  
Optimal Control ◽  
Piecewise Linear ◽  
Continuous Functions ◽  
Time Optimal Control ◽  
Gantry Crane ◽  
Control Law ◽  
Reference Trajectory ◽  
Controlling Parameter ◽  
Input Signals ◽  
Time Optimal

We propose a simple quasi time optimal control law for a gantry crane with a payload. The force applied to the trolley is a controlling parameter. The control law consists of two parts: a feedforward term and a trolley position and velocity feedback term.Initially, we synthesize the feedforward term and the corresponding reference trajectory by computing the time optimal control for the system mass center. The computed optimal control is a discontinuous function of time with several switching time instants. Undesirable large vibrations due to the payload sway appear under this control. Therefore, we transform this control, replacing its jumps by the piecewise linear continuous functions. The computed feedforward term and the reference trajectory are used as input signals of the PD-controller.

scholarly journals Two-channel time-optimal control of nonstationary heat conductive process with account for response time of boundary control actions

2021 ◽  
Vol 29 (2) ◽  
pp. 47-60
Author(s):  
Natalya A. Il’ina
Keyword(s):  
Optimal Control ◽  
Control System ◽  
Parabolic Type ◽  
Time Optimal Control ◽  
Optimal Time ◽  
Time Control ◽  
Distributed Parameters ◽  
Control Actions ◽  
Optimal Controllers ◽  
Time Optimal

The task of organization a closed time-optimal control system of linear object with distributed parameters of parabolic type is considered. The object has two lumped internal controls for the power of heat sources excited in the electromagnetic field of an inductor. The proposed method for the synthesis of optimal controllers uses an alternance method for calculating the optimal program controls for each of the control actions. An example of the construction of a quasi-optimal time control system for the process of periodic induction heating of a metal workpiece with constant values of the feedback coefficients calculated for the most characteristic initial spatial distribution is given.

scholarly journals Application of Minimum-time Optimal Control System in Buck-Boost Bi-linear Converters

2017 ◽  
Vol 7 (4) ◽  
pp. 1753-1758
Author(s):  
S. M. M. Shariatmadar ◽  
S. M. J. Jafarian
Keyword(s):  
Optimal Control ◽  
Control System ◽  
Output Voltage ◽  
Minimum Principle ◽  
Voltage Regulation ◽  
Minimum Time ◽  
Time Optimal Control ◽  
Optimal Switching ◽  
Optimal Control System ◽  
Time Optimal

In this study, the theory of minimum-time optimal control system in buck-boost bi-linear converters is described, so that output voltage regulation is carried out within minimum time. For this purpose, the Pontryagin's Minimum Principle is applied to find optimal switching level applying minimum-time optimal control rules. The results revealed that by utilizing an optimal switching level instead of classical switching patterns, output voltage regulation will be carried out within minimum time. However, transient energy index of increased overvoltage significantly reduces in order to attain minimum time optimal control in reduced output load. The laboratory results were used in order to verify numerical simulations.

Sign in / Sign up

Export Citation Format

Share Document