Gain-Scheduling Control of Quasi Steady-State Active Balancing System of Speed-Varying Rotor
Hu Bing,Fang Zhichu
(School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200030, China)

Abstract: In modern high speed rotating machineries, imbalance-induced vibration is an important factor affecting the performances and working life. For a quas isteady-state active balancing system of a speed-varying rotor, according to certain time steps the varying speed of the rotor is discretized into finite con stant angular speeds. For each discretized angular speed, the control law is derived from the generalized linear quadratic objective performance function inclu ding residual vibration measurements and imbalance correction. With the influence coefficient estimation and the gain matrix calculation for each discretized ro tating speed, again table is constructed corresponding to the individual discre tized rotating speeds, so the gain scheduling control can be implemented to the quasi steady-state active balancing system of the speed-varying rotor. The numerical simulations verify that the gain scheduling control enables to perfectly suppress imbalance-induced vibration, and the penalizing imbalance correction improves system stability and enhances control robustness compared with the trad itional weighted least square (WLS) control.
Keywords: speed-varying rotor, quasi steady-state, active balancing, gain sche duling control.