Control Engineering for BME
Faculteit  Science and Engineering 
Jaar  2022/23 
Vakcode  WMBE02405 
Vaknaam  Control Engineering for BME 
Niveau(s)  master 
Voertaal  Engels 
Periode  semester I a 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Control Engineering for BME  
Leerdoelen  At the end of the course, the student is able to: 1) construct controloriented mathematical models of simple (electromechanical) physical/engineering systems from first principles. 2) distinguish the difference between linear and nonlinear dynamic behavior of physical systems, and construct Jacobian linear approximations around equilibrium or operation points. 3) analyze the stability properties of general linear timeinvariant (LTI) systems via the RouthHurwitz criterion. Study the stability of nonlinear systems via its Jacobian linear approximation (first Lyapunov method). 4) solve the LTI statespace equations via the exponential matrix, analyze the input/output time response to common input signals (impulse, step, sinusoidal) of LTI systems in the statespace. 5) analyze structural properties of LTI systems such as reachability (or controllability), stabilizability, observability, and detectability. 6) design fullstate feedback controllers, Luenberger observers, and observerbased dynamic output feedback controllers. 7) define transfer functions of LTI from the I/O response to exponential inputs and their properties, and simplify block diagrams of feedback systems. Analyze the steadystate error via the position and velocity constants. 8) Analyze the response and stability of feedback systems via the rootlocus plot, Bode plots, and the Nyquist criterion. 9) Design PID controllers via analytical methods and ZeiglerNichols tuning rules; and include practical implementation considerations like filteredderivative and antiwindup integral. 10) Design of feedback controllers using loopshaping design methods and sensitivity functions. 

Omschrijving  This course presents an introduction to the analysis and design of linear feedback control systems using statespace and classical control methods. The topics covered in this course will be presented from a mathematical and engineering perspective. Such control topics are motivated by (simple) physical systems that often appear in modern hightech applications. The course is divided into three parts: i) controloriented modeling of physical and engineering systems, ii) analysis of linear timeinvariant (LTI) dynamical systems iii) synthesis of linear feedback control schemes (statefeedback, observers, PID, loopshaping) To enrich the control engineering experience, the theoretical concepts will be complemented with numerical simulations in Matlab/Simulink and on (virtual) laboratory experiments. 

Uren per week  
Onderwijsvorm 
Hoorcollege (LC), Opdracht (ASM), Practisch werk (PRC), Werkcollege (T)
(Note that before the fist tutorial session, students must pass the remedial mathematics exam. This exam can be done multiple times until the student passes without any consequence.) 

Toetsvorm 
Schriftelijk tentamen (WE)
(The final mark of the course is determined by the written exam only. The pass mark is >5.5. Attendance to 80% of tutorial sessions and complete computer and lab assignments give only a go/nogo outcome.) 

Vaksoort  master  
Coördinator  R. Reyes Báez, PhD.  
Verplichte literatuur 


Entreevoorwaarden  The following list states the necessary prior knowledge and the course where it is acquired:  Linear Algebra (for IEM/BME): linear matrix equations, vector spaces, eigenvalues & eigenvectors  Calculus 1 (for IEM): differentiation, integration, Taylor polynomial, complex numbers  Signals and Systems for IEM/BME: differential equations, Laplace transform, representations of systems with transfer functions, and statespace models.  Electronics: Kirchhoff's current and voltage laws, opamps  Mechanics: Linear and rotational Newton's laws 

Opmerkingen  Note:  Students must pass the remedial mathematics exam before the first tutorial session. This exam can be done multiple times until the student passes without any consequence.  The student must attend the first and last lectures, at least 80% of the tutorial sessions, the two computer sessions, and the (virtual) laboratory session. If a student misses one of the aforementioned parts, then he/she/they is not allowed to present the written exam.  Due to Corona/Covid regulations the above mentioned Teaching method and/or Assessment could be subject to change.  A midterm might be incorporated Study load: Lecture: 32 hours Tutorial: 24 hours Assignments: 18 hours Practical's: 16 hours Selfstudy: 50 hours Total: 140 hours (= 5 ECTS) 

Opgenomen in 
