A simple linear quadratic regulator (LQR) approach for active stabilization of mini rotors due to spinning dissipation

A simple linear quadratic regulator (LQR) approach for active stabilization of mini rotors due to spinning dissipation

Abhro Mukherjee* Abhro Mukherjee

Department of Electronics and Instrumentation Engineering, National Institute of Science and Technology, Berhampur-761008, Odisha, India

Corresponding Author Email: 
abhro456@gmail.com
Page: 
171-181
|
DOI: 
https://doi.org/10.18280/ama_c.730406
Received: 
23 April 2018
| |
Accepted: 
15 November 2018
| | Citation

OPEN ACCESS

Abstract: 

Destabilizing effects due to rotating damper’s in a gyrating or spinning systems is a very common phenomenon. Rotor’s at speed higher than certain threshold values become unstable due to rotating damping forces generated by dissipation in rotor materials, coupling or due to friction in spline’s and tool tip’s. Presently the current methods are mostly passive and suitable for large or medium size rotor’s but not quite applicable for small, mini or micro rotor systems. This paper uses an alternative technique to stabilize rotors of any size and description. The authors propose a piezo electrical type of actuating system for applying damping force to the rotating shaft by implementing a smart embedded coupling which rotates along with the rotor. The stabilization control was implemented by designing a simple state feedback Linear Quadratic Regulator whose gains were determined and applied to the rotor shaft through proposed smart embedded coupling.

Keywords: 

internal damping, non-potential, shaft drawn power, critical speed, drive friction, stationary damping, linear quadratic regulator, piezo actuators and piezo sensors, PID controller, tool wandering

1. Introduction
2. Brief Literature Review
3. Rotor Modeling and Instability Analysis
4 Control of Small Size Rotors
5. Dynamics of an Uncontrolled Rotor System
6. Dynamics of an Uncontrolled Rotor System
7. Conclusion
  References

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