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Analysis and control of smart systems
| Faculteit | Science and Engineering |
| Jaar | 2020/21 |
| Vakcode | WMIE015-05 |
| 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 graph-related 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. |
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| 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 large-scale 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, large-scale 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) |
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| Toetsvorm |
Schriftelijk tentamen (WE)
(Final grade, see remarks.) |
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| Vaksoort | master | ||||||||||||||||||||||||||||
| Coördinator | prof. dr. C. De Persis | ||||||||||||||||||||||||||||
| Docent(en) | prof. dr. C. De Persis | ||||||||||||||||||||||||||||
| Verplichte literatuur |
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| Entreevoorwaarden | The course unit assumes prior knowledge acquired from Calculus, Linear Algebra & Multivariable Calculus, Signals and Systems and Control Engineering. This course has a limited capacity. - IEM students can always enter the course. - Students from other programmes for which this is a *compulsory* course, can always enter the course. |
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| 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 sub-problems to test the knowledge of the students at various levels. Students have to provide solutions to the sub-problems. Points for each sub-problem is proportional to the difficulty of the sub-problem. 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. This course was registered last year with course code TBACSS-11 |
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