Modules

Prerequisites

Contents

State space modeling of dynamical systems; Dynamic behavior of linear systems; Solution of linear time-invariant systems; Lyapunov stability; Controllability and observability; State feedback; Pole placement; PI state feedback control; Control design via linear matrix inequalities; Duality principle; Luenberger-observer and observer-based control; Separation principle; Optimal control (Linear quadratic regulator, H-infinity control)

Learning outcomes

On completion of this module, students should be able to: • Model dynamical multiple-input-multiple-output (MIMO) systems from diverse domains in state-space form; • Analyze the behavior of linear state-space systems; • Understand the concepts of controllability and observability for linear time-invariant (LTI) systems; • Design static and observer-based dynamic state-feedback controllers for LTI MIMO systems.

Assessment

Prerequisite: • Submission of at least 65% of the online homework • Successful participation in all lab sessions including short tests (ungraded) Final Module Examination: • Written exam, 90 minutes Permitted aids are two DIN A4 sheets, handwritten on both sides. For calculations, non-programmable calculators are allowed. Any other type of electronic device is not allowed. For successfully completed online homework, a maximum of 10% bonus points can be earned for the final examination.