State-Space Analysis of DC Motor Control Systems

This paper presents a detailed state-space analysis of a DC motor control system. It explains how the electrical and mechanical dynamics of a DC motor can be modeled using state-space equations, enabling precise control and performance evaluation. The work includes derivation of mathematical equations, formation of system matrices, and analysis of controllability, observability, and stability. MATLAB simulations validate the theoretical results and demonstrate the motor’s transient and steady-state responses. The study highlights the advantages of the state-space approach in modern control system design, including its applications in robotics, electric vehicles, and automation.