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4226. Fuzzy logic based approach for optimal control of dynamical systems under uncertainty
Invited abstract in session TD-33: Optimal control theory, stream Optimal Control Theory and Applications.
Tuesday, 14:30-16:00Room: 42 (building: 303A)
Authors (first author is the speaker)
| 1. | Svetlana Asmuss
|
| Department of Mathematics, University of Latvia | |
| 2. | Natalja Budkina
|
| Institute of Applied Mathematics, Riga Technical University |
Abstract
The aim of this research is to develop a fuzzy logic based technique for optimal control of dynamical systems under vague conditions which allows, among other, to solve optimal trajectory planning and contour modelling problems with uncertainty in location constraints.
The goal is to find a control law that will drive the output trajectory in such a way that vague constraints are satisfied in the fuzzy logic sense.
In order to adapt methods for control under specific types of uncertainty, we develop and apply fuzzy logic based mathematical tools such as fuzzy optimization, fuzzy metrics, etc. Fuzzy relations of a special design are used to incorporate uncertainty of constraints into the classical setting of the optimal control problem under consideration.
The proposed approach is illustrated with examples, the numerical part of the analysis of which is reduced to quadratic programming.
Keywords
- Optimal Control
- Fuzzy Sets and Systems
- Dynamical Systems
Status: accepted
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