Time scaling for motion control of a high-order and very fast dynamic system

Author(s):  
Jiradech Kongthon ◽  
Nile S. Mosley ◽  
Robert E. Farrell
Author(s):  
Nalsa Cintya Resti

  The inverted pendulum is a high-order non-linear, miltivariable and highly unstable dynamic system. High-order non-linear systems in the inverted pendulum must be dilutarized to be solved easily. From the calculations that have been done can be deduced that the system from the inverted pendulum is unstable saddle system, can be controlled and can be observed. In addition the system can also be formed into a system of controlled companions and observable forms of kompanion.


1990 ◽  
Vol 2 (3) ◽  
pp. 157-161
Author(s):  
Toshio Fukuda ◽  
◽  
Takanori Shibata

This paper deals with neural network applications for the robotic motion control. The neural network can be employed for both the long term ""learning"" of the control process and the short term ""adaptation"" of the dynamic process. In this paper, we demonstrate some dynamic controls of robotic manipulators using the ""Neural Servo Controller"" which is applicable to the position and force control of robotic manipulators. The ""Neural Servo Controller"" is based on the neural network which here consists of two hidden layers and input/output layers. The controller can adjust the neural network output to the robot in the forward manner to cooperate with the feedback loop, depending on unknown characteristics of handling objects. In particular, the proposed neural network has time delay elements in itself, so that the neural network can learn the dynamics of the system. Simulations are carried out for position and force control of a two dimensional robotic manipulator. Moreover, we propose a ""Fuzzy Turbo"" so that the neural network can learn the dynamic system quickly. The results show the applicability and adaptability of the proposed ""Neural Servo Controller"" to the nonlinear and dynamic system, and the ability of the proposed ""Fuzzy Turbo"" on the adaptive process.


2021 ◽  
Vol 11 (2) ◽  
pp. 792
Author(s):  
Zhicheng Hou ◽  
Gong Zhang ◽  
Wenlin Yang ◽  
Weijun Wang ◽  
Changsoo Han

In this paper we address a decentralized neighbor-based formation tracking control of multiple quadrotors with leader–follower structure. Different from most of the existing work, the formation tracking controller is given in one loop without distinguishing the motion control and attitude control by means of the theory of flatness. In order to achieve an aggressive formation tracking, the high-order states of the neighbors motion are estimated by using a proposed extended finite-time observer for each quadrotor. Then the estimated motion states are used as feedforwards in the formation controller design. Simulation and experimental results show that the proposed formation controller improves the formation performance, i.e., the formation pattern of the quadrotors is better maintained than that using the formation controller without high-order feedforwards, when tracking an aggressive reference formation trajectory.


Author(s):  
J. D. Rairán

Human brain capabilities to control are undeniable, but embedding that capacity in an algorithm for the control of a dynamic system has proven limited by natural human bounds such as the reaction time, which restricts the number of industrial applications using a human in the loop. Thus, the authors of this paper propose a new procedure to scale linear systems in time, which makes human control of dynamic systems not only feasible but also comfortable. The scaling method comprises moving poles and zeros of a transfer function proportionally to a scaling factor. Thus, a person controls the scaled version of the system, while the computer acquires his/her reactions, then a neural network learns those reactions. This network controls both scaled and original systems. The new control strategy controls slow and fast systems, as well as stable and unstable systems, achieving high performance for all conditions. Appropriate time scaling, and practice, facilitate the control of any dynamic system.


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