Controller of high-speed electro-spindle with AC HMBs based on optimal control theory

2009 ◽  
Author(s):  
Huangqiu Zhu ◽  
Min Cai ◽  
Quan Wang ◽  
Yan Chen
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Optimal Control Theory ◽  
High Speed

Application of Optimal Control Theory to the Synthesis of High-Speed Cam-Follower Systems. Part 1: Optimality Criterion

1983 ◽  
Vol 105 (3) ◽  
pp. 576-584 ◽  
Author(s):  
M. Chew ◽  
F. Freudenstein ◽  
R. W. Longman
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Dynamic Response ◽  
Optimal Control Theory ◽  
High Speed ◽  
Integrated Approach ◽  
Optimization Criterion ◽  
Design Stage ◽  
Trade Offs ◽  
Cam Follower

The synthesis of the parameters governing the dynamic response of high-speed cam-follower systems ideally involves an integrated approach capable of carrying out the tradeoffs necessary to achieve optimum dynamic response in the design stage. These trade-offs involve a balance between the system characteristics at the output and at the cam-follower interface. In this investigation optimal-control theory has been demonstrated to be a useful tool in developing such a tradeoff. Part 1 describes the development of an optimization criterion while Part 2 describes the application of optimal-control theory to the evaluation of system parameters satisfying the optimization criterion.

Application of Optimal Control Theory to the Synthesis of High-Speed Cam-Follower Systems. Part 2: System Optimization

1983 ◽  
Vol 105 (3) ◽  
pp. 585-591 ◽  
Author(s):  
M. Chew ◽  
F. Freudenstein ◽  
R. W. Longman
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Contact Stress ◽  
Optimal Control Theory ◽  
High Speed ◽  
System Optimization ◽  
Design Parameters ◽  
Numerical Examples ◽  
Cam Follower

This part is concerned with the determination of optimum values of the design parameters of cam-follower systems according to the criterion developed in Part 1. The nonlinearities associated with the optimization of contact stress, pressure-angle, and friction-dependent forces, which create difficulties in the simpler approaches, can be tolerated in the optimal-control-theory formulation, which is developed in this investigation. The procedure for the optimization of tuned D-R-D and D-R-R-D cams has been described and the results illustrated by means of numerical examples.

The Design of High-Speed Dwell-Rise-Dwell Cams Using Linear Quadratic Optimal Control Theory

1994 ◽  
Vol 116 (3) ◽  
pp. 867-874 ◽  
Author(s):  
B. C. Fabien ◽  
R. W. Longman ◽  
F. Freudenstein
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Optimal Control Theory ◽  
High Speed ◽  
Numerical Procedure ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Trajectory Sensitivity ◽  
Cam Design ◽  
Quadratic Optimal Control

This paper uses linear quadratic optimal control theory to design high-speed Dwell-Rise-Dwell (D-R-D) cams. Three approaches to D-R-D cam design are compared. In the first approach the cam is designed to be optimal at a fixed operating speed, i.e., a tuned cam design is obtained. In the second approach the cam profile is determined by minimizing a sum of quadratic cost functions over a range of discrete speeds, thus producing a cam-follower system which is optimal over a range of speeds. The third technique uses trajectory sensitivity minimization to design a cam which is insensitive to speed variations. All design methods are formulated as linear quadratic optimal control problems and solved using an efficient numerical procedure. It is shown that the design techniques developed can lead to cams that have significantly lower peak contact stress, contact force and energy loss when compared to a polydyne cam design. Furthermore, the trajectory sensitivity minimization approach is shown to yield cams that have lower residual vibration, over a range of speeds, when compared to a polydyne cam design.

Subdivision of Machining Stable Region Based on Vibration Frequencies

2011 ◽  
Vol 291-294 ◽  
pp. 1921-1924 ◽  
Author(s):  
Qing Hua Song ◽  
Xing Ai
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Optimal Control Theory ◽  
High Speed ◽  
Stability Limit ◽  
Stable Region ◽  
Vibration Frequencies ◽  
High Speed Milling

Vibration frequencies during high-speed milling processes are investigated. Based on the resonant theory and three critical stats of phase position of successive two cutter teeth, six kinds of spindle speeds are shown, which divide the stable region in stability limit diagram into four parts. Furthermore, using optimal control theory, a novel stable region is proposed, which divides the region into three parts (unconditional stable, optimal stable, and conditional stable region).

Dispersion of nanoparticles with optimal control theory based on destabilization

2014 ◽  
Vol 2 ◽  
pp. 86-86
Author(s):  
Miki U. Kobayashi ◽  
Nobuaki Aoki ◽  
Noriyoshi Manabe ◽  
Tadafumi Adschiri
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Optimal Control Theory ◽  
Dispersion Of Nanoparticles
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