Mathematical Modelling of Control Systems for GATE

To design and analyze complex control systems, engineers must first translate physical hardware into precise mathematical equations. This course provides a clear, step-by-step pathway to mastering system modelling and analogies, a core topic for competitive engineering exams like the GATE. You will progress from understanding basic physical components to constructing comprehensive transfer functions and state-space models. By learning to map electrical circuits to mechanical systems, you will develop the analytical skills needed to solve complex engineering problems with confidence. What you'll learn: - Understand the foundational principles of translational and rotational mechanical systems - Model electrical networks using Kirchhoff's laws and impedance methods - Apply force-voltage and force-current analogies to bridge mechanical and electrical domains - Derive transfer functions for multi-domain physical systems - Formulate modern state-space representations for dynamic system analysis - Practice solving exam-style modelling problems through structured written exercises The course begins with essential terminology and the governing physical laws of electrical and mechanical components. You will then explore analogy techniques and modern state-space formulations through clear, written explanations and step-by-step mathematical derivations. This course is designed for engineering students, particularly those preparing for the GATE exam, and requires only a basic background in calculus and physics. Start building your mathematical modelling foundation today.