Introduction to digital control of analogue systems. Sampling, quantizing and coding. The z-transformation and its properties, the inverse z-transformation. Discretization techniques, discrete-time equivalence of continuous-time systems and filters. Transient and steady-state analysis of discrete-time systems, stability analysis. Design of digital controllers based on root locus methods and frequency response methods. State-space analysis of discrete-time system and controller design by pole-placement. Introduction to discrete-time optimal control design.