Discrete-Time Control Systems Fundamentals

In modern engineering, most physical systems are controlled by digital computers rather than analog circuits, making discrete-time control an essential skill. This text-only course guides you from the absolute basics of discrete-time signals to designing and analyzing your own digital feedback control systems. What you will learn: - Understand the core differences between continuous-time and discrete-time control systems - Master the Z-transform and its application to system stability and transfer functions - Discretize continuous-time controllers, including digital PID algorithms, for practical implementation - Analyze system stability using the Bilinear Transform and Jury's stability test - Design discrete-time state-space models and state feedback controllers - Explore modern digital implementation challenges like sampling rates and quantization effects. This course begins with foundational mathematical definitions and key terminology, then guides you step-by-step through system modeling, stability analysis, and practical controller design. It is designed specifically for beginners, engineering systems enthusiasts, and software developers who want to understand digital control theory from the ground up with no prior advanced control background required. Start reading today to master the fundamentals of digital control systems.