Projective DC Motor Control Under Disturbance Torques

TL;DR

This paper presents a novel output feedback control design for linear DC motors using projective linear quadratic servo feedback, analyzing stability under disturbance torques through input-to-state stability theory, supported by MATLAB simulations.

Contribution

It introduces a projective control approach for DC motor control that approximates full state feedback eigenspectrum using output feedback, with stability analysis under disturbances.

Findings

The proposed controller achieves stable operation under disturbance torques.

Input-to-state stability analysis confirms robustness of the control design.

Simulation results demonstrate effective disturbance rejection and stability.

Abstract

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.