Abstract
The Duffing oscillator is a useful model for the uncontrolled behavior of structural systems including columns, gyroscopes, plates, and certain types of bridges. A study is made of a class of nonlinear optimal controls for these oscillators, and the effects of higher order feedback corrections based on series expansions of the optimal cost function and the optimal control function in a Hamilton-Jacobi context are determined. A novel representation of the solution is presented, in terms of the indicial formulation of tensor algebra. For the case in point, the indicial approach offers a conceptually attractive alternative to the general tensor solutions. Numerical studies and an analysis of the effect of higher order feedbacks on the nonzero equilibrium points of the controlled system are presented.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 301-306 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 1 |
| State | Published - 1989 |
| Externally published | Yes |
| Event | Proceedings of the 28th IEEE Conference on Decision and Control. Part 1 (of 3) - Tampa, FL, USA Duration: Dec 13 1989 → Dec 15 1989 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization