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# Details for the Course Syllabus for Course FRTN10F valid from Autumn 2016

General
Aim
• To teach the basic principles for control of systems with multiple inputs and outputs. The course will provide insight on fundamental limitation and on the use of mathematical optimization as a design tool. The course covers linear continuous-time systems.
Contents
• The control design process, signal size, gain, stability, sensitivity, robustness, small-gain theorem, transfer function matrix, operators, multivariable zeros, non-minimum phase systems, disturbance models in the time domain and frequency domain, frequency-domain specifications, controller structures, Youla parameterization, convex specifications, linear-quadratic optimization of state feedbacks and Kalman filters, synthesis using Linear Matrix Inequalities (LMI).
Knowledge and Understanding
• For a passing grade the doctoral student must
• be able to define and explain basic concepts for multivariable systems
be able to translate between, and intelligently select among, different representations for multivariable systems, in particular transient responses, transfer function matrices, and state-space descriptions
be able to derive properties of interconnected systems from the properties of their subsystems, and to characterize and quantify the role of the different subsystems
be able to formulate constraints on input signals and output signals of a control system and to relate these to conditions on the matrices that describe the system
be able to analyse how process characteristics put limitatoins on the control performance that can be achieved
Competences and Skills
• For a passing grade the doctoral student must
• be able to independently formulate technical specifications based on understanding of the control system should be used and interact with the external environment
be able to select control design methods and model structures, and translate specifications into mathematical optimization problems
draw conclusions from numerical calculations about the correctness of models and specifications, and about the consequences for the interaction between the system and the environment
Judgement and Approach
• For a passing grade the doctoral student must
• understand relationships and limitations when simplified models are used to describe a complex and dynamic reality
show ability to teamwork and group collaboration at laboratories
Types of Instruction
• Lectures
• Laboratory exercises
• Exercises
Examination Formats
• Written exam
• Failed, pass
Assumed Prior Knowledge
• FRT010 Automatic Control, Basic Course or FRTN25 Automatic Process Control
Selection Criteria
Literature
• Glad, T. & Ljung, L.: Reglerteori - Flervariabla och olinjära metoder. Studentlitteratur, 2003.
Further Information
Course code
• FRTN10F