Algebraic Design Methods
Code | Completion | Credits | Range |
---|---|---|---|
E35AMS | Z,ZK | 4 | 2+2s |
- Lecturer:
- Tutor:
- Supervisor:
- Department of Control Engineering
- Synopsis:
-
The course offers an alternative design method for linear control systems. The method is based on transfer functions, expressed in fractional form. All controllers are parametrized that stabilize a given plant. The optional parameter appears linearly in all closed-loop transfer functions. Additional design requirements, like those of optimality or robustness, can be achieved by a suitable choice of the parameter. Development of modern reliable algorithms makes it possible to extend the applicability of these methods in last years.
- Requirements:
- Syllabus of lectures:
-
1. Proper and stable rational functions
2. Diophantine equations
3. Solution algorithms
4. Systems and signals, norms
5. Feedback systems
6. Stabilizing controllers
7. Optimal systems
8. H2 norm minimization
9. Hinf norm minimization
10. Robust stabilization
11. Reference tracking
12. Pole placement
13. Multi-input multi-output systems
14. Parametrization of stabilizing controllers
- Syllabus of tutorials:
-
1. Polynomials and rational functions
2. Divisibility
3. Solution of polynomial equations
4. Solution of rational equations
5. Computing the norms
6. Written test
7. Parametrization of stabilizing controllers
8. Optimal disturbance attenuation
9. Spectral factorization and the H2 norm
10. Interpolation and the Hinf norm
11. Robust stabilization and tracking
12. Pole placement, finite impulse response
13. Written test
14. Conclusion
- Study Objective:
- Study materials:
-
[1] Vidyasagar, M.: Control System Synthesis: A Factorization Approach. MIT Press, Cambridge 1985
[2] Doyle, J.C., Francis, B.A., Tannenbaum, A.R.: Feedback Control Theory. Macmillan, New York 1992
- Note:
- Further information:
- No time-table has been prepared for this course
- The course is a part of the following study plans: