On Modification of the Positional Optimization Method for a Class of Nonlinear Systems
| Autor: | Alexandr S. Popkov, Tatiana E. Smirnova, Nikolay V. Smirnov |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
Linear programming Computer science Control (management) Pendulum 02 engineering and technology Nonlinear control Optimal control Nonlinear system 020901 industrial engineering & automation 020401 chemical engineering Control theory Control system Linear approximation 0204 chemical engineering |
| Zdroj: | Proceedings of the 3rd International Conference on Applications in Information Technology. |
| DOI: | 10.1145/3274856.3274866 |
| Popis: | An optimal control problem in a class of nonlinear systems is considered. A modification of the positional optimization approach to the optimal control of feedback type synthesis is suggested. The problem of nonlinear control is reduced to a problem of optimal control for an auxiliary linear approximation system at each step of algorithm, and then to a linear programming problem. If the time to solve the auxiliary linear problem does not exceed the algorithm time step, we can say that the control system realizes the positional control in real time. The proposed method is illustrated with an optimal control problem for the mathematical pendulum. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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