A Discrete Optimal Control Method for a Flexible Cantilever Beam with Time Delay

2006 ◽  
Vol 12 (5) ◽  
pp. 509-526 ◽  
Author(s):  
Guo-Ping Cai ◽  
Simon X. Yang
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Cantilever Beam ◽  
Control Method ◽  
Discrete Optimal Control ◽  
Optimal Control Method

scholarly journals Distributed Optimal Control for a Class of Switched Nonlinear Systems with the State Time Delay

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Yuxing Duan ◽  
Baili Su
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Nonlinear Systems ◽  
Control Method ◽  
The State ◽  
Switched Nonlinear Systems ◽  
Distributed Optimal Control ◽  
Switching Sequence ◽  
State Time ◽  
Optimal Control Method

This paper is focused on a kind of distributed optimal control design for a class of switched nonlinear systems with the state time delay which have a prescribed switching sequence. Firstly, we design a bounded controller to make the system stable for each mode of the nominal system. Then, a distributed optimal controller which can satisfy input constraint is designed based on the bounded stabilization controller. A sufficient condition to guarantee ultimate boundedness of the system is given based on appropriate assumption. The significance of this paper is that distributed optimal control method is applied to switched nonlinear systems with the state time delay. Finally, a simulation example is given to verify the effectiveness of the proposed method.

An optimal control method for linear systems with time delay

2003 ◽  
Vol 81 (15) ◽  
pp. 1539-1546 ◽  
Author(s):  
Guo-Ping Cai ◽  
Jin-Zhi Huang ◽  
Simon X Yang
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Linear Systems ◽  
Control Method ◽  
Optimal Control Method

scholarly journals Discrete Optimal Control Method Based on the Optimal Strategy of Fishing

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Lichun Zhang ◽  
Qingdao Huang
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Control Method ◽  
Logistic Function ◽  
Optimal Size ◽  
Discrete Optimal Control ◽  
Optimal Control Method ◽  
Optimal Value ◽  
Principle Of Maximum

Consideration was given to the discrete optimal control method for the optimal fishing strategy. Our method is new and efficient for discrete optimal control problem, which is different from the other optimal methods such as the traditional variational method, the Pontryagin principle of maximum, and the dynamic programming. The basic construction of the model is the traditional logistic function relating to the growth of fry. The discrete optimal control method for optimal fishing strategy was used to construct the optimal rate of each fishing strategy; the main focus of our work is on the rigorous mathematical analysis of the optimal control problem. The analysis allows one to obtain the optimal initial investment amount of the fry and the optimal size of the total catch. Furthermore, when the initial investment amount of the fry is below or above the optimal value and the intrinsic growth rate of fishRis too small, we derive that fishing operations should not be started in the last few years to make the overall fishing amount optimal. At last, several typical examples are given to illustrate the obtained results.

The human-like trajectory planning for autonomous vehicles based on optimal control in a test track environment

2021 ◽  
pp. 095440702110090
Author(s):  
Xing Xu ◽  
Minglei Li ◽  
Feng Wang ◽  
Ju Xie ◽  
Xiaohan Wu ◽  
...  
Keyword(s):  
Optimal Control ◽  
Autonomous Vehicles ◽  
Optimal Trajectory ◽  
Control Method ◽  
Autonomous Vehicle ◽  
Trajectory Data ◽  
Test Track ◽  
Optimal Control Method ◽  
The Future ◽  
On The Road

A human-like trajectory could give a safe and comfortable feeling for the occupants in an autonomous vehicle especially in corners. The research of this paper focuses on planning a human-like trajectory along a section road on a test track using optimal control method that could reflect natural driving behaviour considering the sense of natural and comfortable for the passengers, which could improve the acceptability of driverless vehicles in the future. A mass point vehicle dynamic model is modelled in the curvilinear coordinate system, then an optimal trajectory is generated by using an optimal control method. The optimal control problem is formulated and then solved by using the Matlab tool GPOPS-II. Trials are carried out on a test track, and the tested data are collected and processed, then the trajectory data in different corners are obtained. Different TLCs calculations are derived and applied to different track sections. After that, the human driver’s trajectories and the optimal line are compared to see the correlation using TLC methods. The results show that the optimal trajectory shows a similar trend with human’s trajectories to some extent when driving through a corner although it is not so perfectly aligned with the tested trajectories, which could conform with people’s driving intuition and improve the occupants’ comfort when driving in a corner. This could improve the acceptability of AVs in the automotive market in the future. The driver tends to move to the outside of the lane gradually after passing the apex when driving in corners on the road with hard-lines on both sides.

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