Digital Control

Master's degree in Electrical Engineering (specialization in Control and Industrial Electronics)
6 ECTS; 1º Ano, 1º Semestre, 28,0 T + 28,0 PL + 5,0 OT + 2,0 O

- Paulo Manuel Machado Coelho

Not applicable.

The objectives are to provide knowledge on several digital control systems structures; and to be able to design and
analyse digital control designs. Be able to discretize a continuous-time plant to design a digital control system.

1 ? Introduction to digital control: discrete systems analysis; computer controlled systems.
2 ? Z-transform and Inverse Z-Transform.
3 ? Discrete systems analysis using Z-transform;
4 ? Sampling: ideal sampler; sample and hold. Mapping between the s-plane and the z-plane.
5 ? Digital controller design by numerical approximation of an analog controller. Digital PID controller.
6 ? Direct design of digital controller: methods; choice of the sampling period.
7 ? Stability of digital control systems: stability, Routh modified criterium, Jury criterium, steady state error, root
locus in the z-plane.
8 ? State-space models: discretization of continuous-time state-space equations.
9 ? Controllability, attainability and observability.
10 ? State-space design: design of state feedback and output feedback control; Ackermann's formula; pole
placement using. Deadbeat control.
11 ? Introduction to estimators.

Evaluation Methodology
Exam (50%) and practical coursework (50%).

- Powell, J. e Workman, M. e Franklin, G. (1998). Digital Control of Dynamic Systems. USA: Addison-Wesley
- Ogata, K. (1994). Discrete-time Control Systems. USA: Prentice-Hall
- Astrom, K. e Wittenmark, B. (1997). Computer-controlled systems: theory and design. USA: Prentice-Hall

Method of interaction
Lectures incorporating illustrative cases. Theoretical-practical lessons focused on concept application and problem-solving.Practical exercises.

Software used in class
Matlab / Simulink