COURSE SYLLABUS Multivarable and Robust Control Systems 7.5 Credits Multivariabla och robusta reglersystem Second cycle, R7005E Version Autumn 2008 Sp 1 - Spring 2009 Sp 4Autumn 2009 Sp 1 - Spring 2010 Sp 4Autumn 2010 Sp 1 - Spring 2012 Sp 4Autumn 2012 Sp 1 - Autumn 2014 Sp 2Spring 2015 Sp 3 - Spring 2015 Sp 3Spring 2015 Sp 4 - Autumn 2016 Sp 2Spring 2017 Sp 3 - Present Course syllabus valid: Spring 2017 Sp 3 - PresentThe version indicates the term and period for which this course syllabus is valid. The most recent version of the course syllabus is shown first. Education level Second cycle Grade scale G U 3 4 5 Subject Control Engineering Subject group (SCB) Automation Technology Entry requirementsIntermediate level knowledge in the subject of Automatic control, specifically regarding transfer functions, frequency response, state-space form, state feedback, and the Nyquist criterion. Experience with using Matlab for analysis of control systems is also presumed (R7003E). More information about English language requirements SelectionThe selection is based on 20-285 creditsCourse AimThe course aim is for students to acquire in-depth knowledge of feedback systems, their design and their use in control engineering applications.The students should be able to:show a deep knowledge of control engineering methods and terminology for multivariable and robust controlshow deep understanding of mathematical methods to analyze multivariable dynamic systems and dynamic systems with uncertainty descriptionsdemonstrate the ability to model multivariable dynamic systems based on empirical data and formulate uncertainty descriptions of dynamical systemsdemonstrate an ability to formulate performance requirements for control systems and determine what performance is achievableuse standard methods for designing and analyzing robust controllers and controllers for multivariable systemsdemonstrate an ability to, in a group, simulate, analyze, evaluate and implement multivariable controllers for a real process and toreport on this work, both orally and in writingability to identifyconstraints of simplecontroller s and the need for more advanced methods.ContentsWhen attempting to apply control to a complex real-world process, a number of problems appear that this course provides theoretical methods to handle. The first problem treated in the course is that the process model that is available can never be an exact description of the process in question. How to describe model uncertainty is treated, as well as methods for designing robust controllers that maintain stability and performance despite variations in the process. The second problem is that many processes that are interesting to be able to control are in practice multivariable, i.e. that several inputs affect several outputs. Basic notions, such as poles and zeros, controllability and observability are treated for multivariable systems, as well as methods to determine when single variable controllers can be used on the multivariable process with acceptable performance. Controllers, based on optimization in the H-infinity norm, are treated for the situation where multivariable control must be used. The third problem is fundamental limitation regarding the performance that can be achieved in a control system. Such limitations appear in particular when the process is unstable or has nonminimum phase character. Tools to analyze this are also provided in this course. The theoretical parts of the course are supplemented with practical lab work and a project assignment on an experimental setup in the laboratory of the Department of Computer Science and Electrical Engineering.RealizationThe teaching consists of lectures and laboratory exercisesExaminationWritten exam with differentiated grades and approved lab and project workRemarksThe course will not be given every year.ExaminerWolfgang BirkTransition termsThe course R7005E is equal to SMR047Literature. Valid from Autumn 2008 Sp 1 (May change until 10 weeks before course start)Skogestad, S. and Postlethwaite, I.: Multivariable Feedback Control. Analysis and Design. Wiley 2005 Search books in the library » Course offered byDepartment of Computer Science, Electrical and Space EngineeringItems/credits NumberTypeCreditsGrade 0001Written exam4.5G U 3 4 5 0002Laboratory work3.0U G# Study guidanceStudy guidance for the course is to be found in our learning platform Canvas before the course starts. Students applying for single subject courses get more information in the Welcome letter. You will find the learning platform via My LTU.Syllabus establishedby Department of Computer Science and Electrical Engineering 17 Dec 2007Last revisedby Jonny Johansson, HUL SRT 15 Jun 2016