PARTNER INSTITUTION: École de technologie supérieure
BACKGROUND
A new control algorithm has been developed at ETS by Prof. David Bensoussan. This algorithm simultaneously optimizes the time and frequency response of feedback control systems. In addition, it ensures greater robustness with respect to the external disturbances of the control system.
TECHNOLOGY
This new control algorithm is applicable to a large family of unstable invertible systems, which include a large number of industrial applications. The comparison of the simulation results obtained with the new control algorithm and traditional methods of control applied to a hard disk controller has demonstrated a much higher performance for all benchmarks.
Comparing performances
Type of Control
GM (dB)
PM (deg)
tr (sec)
ts (sec)
PID
54.1
47.8
0.0156
0.0637
State feedback
22.8
49
0.0219
0.0738
Quasi Linear
89.8
91.3
4.39
5.95
Present method
13.2
66
0.00019
0.00027
GM: Gain margin
PM: Phase margin
tr: rise time
ts: settling time
ADVANTAGES
This new control algorithm preserves the benefits of high gain in contrast to conventional control algorithms in which the acceleration of the time response often results in oscillations and instability risks.
APPLICATIONS
Any control system using a feedback loop.
• Industrial Automation: e.g. robot arm.
• Electromechanical Systems: e.g. motion control of the arm of a hard drive.
• Military Applications: e.g. faster lock to radar signal inputs.
• Telecommunications: e.g. possible reduction of acquisition time of a phase locked loop., etc.