Suboptimal fault tolerant control design with the use of discrete optimization

• Autorzy: Kowalczuk Z. , Oliński K. E.
• Języki publikacji: EN

Abstrakty

EN

This paper presents a concept of designing fault tolerant control systems with the use of suboptimal methods. We assume that a given (nonlinear) dynamical process is described in a state space. The method consists in searching (at the off-line stage) for a trajectory of operational points of the system state space. The sought trajectory can be constrained by certain conditions, which can express faults or failures already detected. Within this approach, we are able to use the autonomous dynamics of the process in order to minimize a control cost index (a sub-optimality property). The search itself is based on finding a cheapest path in a graph structure, which represents the system’s dynamics described in the state space. Such a cheapest path (if it exists) represents the sought trajectory. Another (on-line) design stage consists in tracking this trajectory by an executive controller.

Słowa kluczowe

EN

optimal control; fault tolerant systems; nonlinear model; operations research; discrete optimization

PL

sterowanie optymalne; system odporny na uszkodzenia; model nieliniowy; badania operacyjne; dyskretna optymalizacja

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2008
• Tom: Vol. 18, no 4
• Strony: 561--568
• Opis fizyczny: Bibliogr. 9 poz., rys., wykr.

Twórcy

autor

Kowalczuk Z.

• Department of Decision Systems, Gdańsk University of Technology, ul. Narutowicza 11/12, 80–952 Gdańsk, Poland

autor

Oliński K. E.

• Department of Decision Systems, Gdańsk University of Technology, ul. Narutowicza 11/12, 80–952 Gdańsk, Poland

Bibliografia

• [1] Bertsekas D. P. (2005). Dynamic Programming and Optimal Control, Athena Scientific, Belmont, MA.
• [2] Chowdhury F. N. and Chen W. (2006). Fault monitoring in the presence of fault-tolerant control, Proceedings of the 6th IFAC Symposium on SAFEPROCESS: Fault Detection, Supervision and Safety of Technical Processes, Vol. 1, IFAC, Beijing, China, pp. 1321-1326.
• [3] Diestel R. (2000). Graph Theory, Springer-Verlag, New York, NY.
• [4] Friedman M. L. and Tarjan R. E. (1987). Fibbonaci heaps and their uses in improved network optimization algorithms, Journal of the Association for Computing Machinery 34(3): 596-615.
• [5] Kowalczuk Z. and Olinski K. E. (2007). Sub-optimal faulttolerant control with the use of discrete optimization, in J. Korbicz, K. Patan and M. Kowal (Eds.), Fault Diagnosis and Fault Tolerant Control, Academic Publishing House EXIT, Warsaw, pp. 165-172.
• [6] Kowalczuk Z., Rudzinska-Kormanska K. and Olinski K. E. (2007). Designing nonlinear control systems by statespace flow graph optimization, Proceedings of the 11th IFAC Symposium on Large Scale Systems, Gdańsk, Poland, pp. 1-4, (on CD-ROM).
• [7] Kowalczuk Z. and Suchomski P. (2005). Discrete-time predictive control design based on overparameterized delayplant models and identified cancellation order, International Journal of Applied Mathematics and Computer Science 15(1): 5-34.
• [8] Skiena S. S. (1997). The Algorithm Design Manual, Springer-Verlag, New York, NY.
• [9] Zhang Y. (2007). Active fault-tolerant control systems: Integration of fault diagnosis and reconfigurable control, in J. Korbicz, K. Patan and M. Kowal (Eds.), Fault Diagnosis and Fault Tolerant Control, Academic Publishing House EXIT, Warsaw, pp. 21-41.