Projective DC Motor Control Under Disturbance Torques

In this study, we will present the design of a linear DC motor controller by projective linear qudratic servo feedback (P-LQSF) and analyze its stability through the notion of input to state stability theory. The projective control approach allows one to design an output feedback controller which approximates the eigenspectrum of a full state feedback closed loop. The performance and stability of the controllers will be analyzed both theoretically and through simulation. Apart from basic linear stability, the theoretical analysis will involve the stability of the closed loop against the disturbance torques by reflecting the closed loop as a system with the disturbance torque appearing as an input. Knowing this fact, the input-to-state stability concept is utilized as a disturbance to state stability approach and the designs are analyzed accordingly. The overall products are demonstrated by MATLAB based simulations.