Search programme

​Use the search function to search amongst programmes at Chalmers. The study programme and the study programme syllabus relating to your studies are generally from the academic year you began your studies.

Syllabus for

Academic year
ESS075 - Nonlinear and adaptive control
 
Owner: TELTA
4,0 Credits (ECTS 6)
Grading: TH - Five, Four, Three, Not passed
Level: D
Department: 32 - ELECTRICAL ENGINEERING


Teaching language: Swedish

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 No Sp
0199 Examination 4,0 c Grading: TH   4,0 c   15 Mar 2007 am V,  20 Aug 2007 am V

In programs

TELTA ELECTRICAL ENGINEERING, Year 4 (elective)
TITEA SOFTWARE ENGINEERING, Year 3 (elective)
TKEFA CHEMICAL ENGINEERING WITH ENGINEERING PHYSICS, Year 4 (elective)
TTFYA ENGINEERING PHYSICS, Year 4 (elective)
EPMAS MSc PROGRAMME IN ELECTRIC POWER ENGINEERING, Year 1 (elective)
TAUTA AUTOMATION AND MECHATRONICS ENGENEERING, Year 4 (elective)
TDATA COMPUTER SCIENCE AND ENGINEERING - Other elective courses, Year 4 (elective)

Examiner:

Professor  Bo Egardt



Eligibility:

For single subject courses within Chalmers programmes the same eligibility requirements apply, as to the programme(s) that the course is part of.

Course specific prerequisites

A basic control course with elementary state space techniques is a prerequisite. A second control course, e.g. the course ERE180 Multivariable Control is recommended but not mandatory.

Aim

The objective of this course is to introduce fundamental techniques to solve industrial control problems, for which linear models are insufficient or difficult to obtain from physical data. The purpose of the course is also to introduce modern software tools to support the analysis and synthesis of such control systems.

Goal

The goal is that the course participants after the course should:
- Understand the limitations of linear control methods
- Have knowledge of the most important phenomena in nonlinear dynamical systems
- Be able to analyse the stability properties of nonlinear systems
- Know about and be able to apply a few design methods for nonlinear control
- Understand the basic principles for optimal and adaptive control and be able to solve simple problems.

Content

- Analysis of nonlinear systems:
Common nonlinearities. Phase plane analysis. Stationary points and limit cycles. Stability. Lyapunov's method. Describing function.
- Design of nonlinear control systems:
Gain scheduling. Synthesis using stability theory. Model predictive control. Exact linearization. Optimal control. Pontryagin's maximum principle. Bang-bang control. Hamilton-Jacobi-Bellman's equation.
- Adaptive control:
Principles for adaptive control. Model reference adaptive systems. Separation of identification and control. Self-tuning regulators.
- Hand-in problem and laboratory sessions:
1. Describing functions and limit cycles.
2. Nonlinear control synthesis.
3. Adaptive control.

Organisation

Lectures and probelm sessions.
Hand-in assignment and laboratory sessions (mandatory).

Literature

T. Glad, L. Ljung: Reglerteori. Studentlitteratur. In Swedish. (The book is also available in English from a foreign publisher).
Supplementary material.

Examination

Written exam. Course credit requires that assignments and laboratory sessions have been passed.


Page manager Published: Mon 28 Nov 2016.