Abstract
In this paper we develop a new finite time optimal control algorithm for the bilinear systems by using the successive approximation method. Hofer and Aganovic have been proposed iterative schemes to solve the optimal control problem for these systems. On the contrary to the results of Aganovic where the optimal solution has been obtained in terms of a sequence of the differential Lyapunov equations based on the results of Hofer, we propose a new method based on the successive approximation method and the control law is represented by an explicit state feedback form. An example is presented to illustrate the results, and the proof of convergence is provided.
| Original language | English |
|---|---|
| Pages (from-to) | 3184-3189 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 4 |
| Publication status | Published - 2001 |
| Event | 40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States Duration: 2001 Dec 4 → 2001 Dec 7 |
Keywords
- Bilinear systems
- Optimal control
- Successive approximation
ASJC Scopus subject areas
- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization