SCE5104 - Discrete-time Control Systems

MQF Level

Not Applicable

Duration and Credits

Semester 1

5 ECTS

Mode of Study

Part-Time Day

This study-unit presents methodologies for designing closed loop control systems for linear systems operating in discrete-time, as typically required in computer-controlled systems. Both classical transfer function and modern state space approaches will be considered. Several aspects of discrete-time control design shall be considered, including Lyapunov stability, reachability, detectability, state feedback control, state observers, pole placement with transfer function models and practical implementation issues.

Method of Assessment

Assessment Component/s

Weighting

Online Moderated Discussions and Postings

20%

Assignment

40%

Project

40%

Main Reading List

Astrom K.J., B. Wittenmark, 2011. Computer Controlled Systems: theory and design (3rd Ed), Dover Publications.

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Please check your eligibility to join this short course and time-tabling details with the Faculty of Engineering. The short course will only be delivered subject to a minimum number of applications being received.

Information for International applicants

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Study-unit Aims

The aims of this study-unit are to:

motivate the need for controller design in discrete-time;
present realistic examples of linear discrete-time system models;
present techniques for analysis of linear closed loop discrete-time systems using both z-domain transfer functions and state-space approaches, including structural issues such as Lyapunov stability, reachability, detectability, sensitivity and robustness, time-domain solutions and others;
present a set of linear control system design methodologies in discrete-time based on both state-space and transfer function approaches, including:

direct digital control techniques such as pole placement with a polynomial approach, pole placement with state feedback and output feedback using state observers, frequency response methodologies;
emulation of continuous-time controllers such as the digital PID algorithm, transfer function and state-space approximations;

address practical implementation issues such as the effects of quantization, sampling rate selection, computational demand, nonlinear actuators and others.

Learning Outcomes: Knowledge and Understanding

By the end of the study-unit the student will be able to:

select an appropriate discrete-time control design methodology for the task at hand;
formulate discrete-time system models for linear time invariant systems;
analyze the performance of linear systems in discrete-time, both in open loop and closed loop configurations.

Learning Outcomes: Skills

By the end of the study-unit the student will be able to:

design and derive discrete-time closed loop control laws for linear time-invariant systems to satisfy a given set of specifications, using several different methodologies based upon transfer function (z-domain) and state-space approaches;
simulate and evaluate the designed controllers by means of computer simulation using Matlab/Simulink;
implement the designed controllers and algorithms on Matlab/Simulink-based digital controllers and setting up the closed loop system with appropriate sensors and actuators;
test, evaluate and refine the designed controllers to obtain the desired closed loop performance.

Non EU Applicants:

EUR600

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