Analysis and control of smart systems
Faculteit  Science and Engineering 
Jaar  2017/18 
Vakcode  TBACSS11 
Vaknaam  Analysis and control of smart systems 
Niveau(s)  master 
Voertaal  Engels 
Periode  semester II a 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Analysis and control of smart systems  
Leerdoelen  Acquiring knowledge on the analysis and design of dynamical systems distributed over a network. After this course the student should be able: 1. To write Laplacian, incidence and adjacency matrices of graphs and to state their main spectral properties. To model dynamical systems over a network using graphrelated matrices and differential equations. 2. To define different notions of stability (simple and asymptotic), state basic stability results, calculate equilibria of dynamical systems and analyze their stability by Lyapunov and LaSalle theorems. 3. State the definition of passive dynamical systems and identify the storage function and the supply rate. Investigate the passivity of a dynamical system with inputs and outputs given a candidate storage function. 4. To analyze and design formation control algorithms using dynamical and kinematic models of moving vehicles. 5. To analyze and design routing and load balancing controllers for dynamical systems of distribution networks. 6. To assess the stability of equilibria of dynamic models of power networks (swing equations) and to design frequency regulation algorithms for them. After this course, the student should also be able to solve problems related to the learning objectives above. 

Omschrijving  The course introduces/reviews basic facts of linear control theory, state space theory, Lyapunov stability theory, passive systems. It then illustrates the use of these tools for analyzing and designing control algorithms for largescale dynamical systems over a network (smart systems). Basics of output regulation are also introduced to deal with problems of decentralized reference tracking and disturbance rejection. These arguments are illustrated via a number of relevant case studies in the area of robotic networks, largescale dynamic supply chains, distribution and flow networks, power networks.  
Uren per week  
Onderwijsvorm 
Hoorcollege (LC), Werkcollege (T)
(Total hours of lectures: 28 hours, tutorials: 14 hours) 

Toetsvorm 
Schriftelijk tentamen (WE)
(Final grade, see remarks.) 

Vaksoort  master  
Coördinator  prof. dr. C. De Persis  
Docent(en)  prof. dr. C. De Persis  
Verplichte literatuur 


Entreevoorwaarden  The course unit assumes prior knowledge acquired from Calculus, Linear Algebra & Multivariable Calculus, Signals and Systems and Control Engineering.  
Opmerkingen  Assessment criteria and method for determining the final mark for the course unit: a. assessment criteria In the written exam 4 problems are proposed. Each problem comprises several subproblems to test the knowledge of the students at various levels. Students have to provide solutions to the subproblems. Points for each subproblem is proportional to the difficulty of the subproblem. The total points are then normalized in a scale from 1 to 10. b. marking scheme The final mark of the exam is determined by the written exam only. c. pass mark The pass mark is 6 on a scale from 1 to 10. 

Opgenomen in 
