Reachable sets concept - a general abstract analysis

• Autorzy: Terlikowski T.
• Języki publikacji: EN

Abstrakty

EN

A control problem over the infinite time horizon for periodical system is considered. Our aim is to analyze a special concept of solving problems of this type, based on the known idea of reachable sets. We try to consider this concept in a more general manner than it was done in earlier works and to find what is really essential in it. The algorithm corresponding to the proposed general description is presented.

Słowa kluczowe

EN

infinity; periodicity; reachable set

PL

nieskończoność; okresowość

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2003
• Tom: Vol. 32, no 4
• Strony: 803--817
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Terlikowski T.

• Institute of Geophysics, Polish Academy of Sciences, Księcia Janusza 64, Warszawa 01-452, Poland,

Bibliografia

• Bertsekas, D. P. and Rhodes, I. B. (1971) On the min-max Reachability of Target Sets and Target Tubes. Automatica 7.
• Bertsekas, D. P. (1972) Infinite-Time Reachability of State - Space Regions by Using Feedback Control. IEEE Transactions on Automatic Control 17(5).
• Blanchini, F. and Ukovich, W. (1993) Linear Programming Approach to the Control of Discrete-Time Periodic Systems with Uncertain Inputs. JOTA 78 (3).
• Glover, J. D., and Schweppe, F. C. (1971) Control of Linear Dynamic Systems with Set Constrained Disturbances. IEEE Transactions on Automatic Control 16.
• Karbowski, A. and Soncini-Sessa, R. (1994) Design and Control of Water Systems in Presence of Inflow Scenarios. Engineering Risk in Natural Resources Management, NATO ASI Series, Kluwer Academic Publishers.
• Karbowski, A. (1999) Optimal Infinite-Horizon Multicriteria Feedback Control of Stationary Systems with Min-max Objectives and Bounded Disturbances. Journal of Optimization Theory and Applications 101 (1).
• Terlikowski, T., Napiorkowski, J. and Karbowski, A. (1997) Operational Control of Water Reservoir System with Minimax Objectives. Operational Water Management Conference, Copenhagen, Denmark, September 1997.
• Terlikowski, T. (2002) Infinite time periodic min-max optimization problem solved with the use of reachable sets concept. Presented at 5th International Conference on Hydro-Science and Engineering, Warszawa, September 2002.
• Terlikowski, T. (2002) A Logical Approach to Control. Some New Logical Concepts and their Application to the Notion of Safety for Control Variants. Fundamenta Informaticae 52 (4), 377-394