Linear systems and control
About the course
The course can not be taken as a single course.
Dynamic models:
- Mathematical modelling of linear dynamic systems
- Transfer functions and state space representations
Dynamic response for LTI systems:
- Superposition and time invariance
- Poles and zeros, and relation to stability and response
- Routh’s stability criterion with applications for trivial controller design
Feedback control for LTI systems:
- Open and closed loops
- System types and the effect of integral and derivative action
- PID and feedforward control
State space design:
- Canonical forms (CCF, MCF, OCF) and linear transformations
- Controllability and observability
- State feedback control and LQR for state space systems
- State estimators and Kalman filter for state space systems
- The separation principle
Objectives of the course
After completing the course, the candidates will have the following learning outcome:
Knowledge
The candidate has knowledge of:
- general system configurations and control loops for LTI systems
- basic LTI modelling principles for selected system types, including transfer functions and state space representations
- basic LTI system principles, and the relation between pole placement and stability
- basic system configurations, system types and PID control for LTI systems
- state space models and canonical forms, controllability and observability, state feedback control and estimation, and the separation principle
Skills
The candidate can:
- model physical systems and derive transfer functions and state space models
- determine stability and final value outputs for LTI systems, and perform trivial control design using Routh’s stability criterion
- derive and transform between state space models, canonical forms and transfer functions
- determine controllability and observability for LTI systems
- design state feedback controllers and state estimators for LTI systems
General competence
The candidate has a general competence on:
- application of control engineering
- choosing suitable model representations for different systems
- choosing suitable methods for stability analysis for different systems
- choosing suitable controller structures and design methods for different systems
- Use of simulation tools (Matlab/Simulink) for analysis and simulation of linear systems (general for all modules)
Prerequisites
Recommended prerequisites
MAT-3800 Linear Algebra II, STE-2605 Linear Systems and Control Theory
Credit reduction
If you pass the examination in this course, you will get an reduction in credits (as stated below), if you previously have passed the following courses:
- ELE-3606 Control Engineering 5 ects
Teaching methods
Language of instruction and examination
EnglishRecommended reading/syllabus
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Pensumliste for ELE-3616 - Linear systems and control (HØST 2026)Schedule
The schedules are normally finalized and published well in advance of the start of the semester, often a few weeks beforehand. This gives students the opportunity to organize their studies and prepare for upcoming activities.
It is recommended to check the schedule regularly, as changes may occur.
Examination
| Oral exam | Duration: 40 Minutes |
Grade: A–E, fail F |
To take an examination, the student must have passed the following coursework requirements
| Written exercise | Grade: Approved – not approved |
Everything you need to know about before, during, and after the exam; registration, absence, appeals, and diplomas: UiT Exams homepage