Abstract
The infinite time optimum to regulate the problem of singularly perturbed bilinear systems with a quadratic performance criterion is obtained by a sequence of algebraic Lyapunov equations. The new approach is based on the successive approximation. In particular, the order reduction is achieved by using suitable state transformation so that the original Lyapunov equations are decomposed into the reduced-order local Lyapunov equations. In addition, the slow part of the solution and the fast part solution are now completely decoupled so that the numerical ill-conditioning is removed. The proposed algorithms not only solve optimal control problems in the singularly perturbed bilinear system but also reduce the computation time. This paper also includes an example to demonstrate the procedure.
| Original language | English |
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| Pages | 657-661 |
| Number of pages | 5 |
| Publication status | Published - 2001 |
| Event | Proceedings of the 2001 IEEE International Conference on Control Applications CCA '01 - Mexico City, Mexico Duration: 2001 Sept 5 → 2001 Sept 7 |
Other
| Other | Proceedings of the 2001 IEEE International Conference on Control Applications CCA '01 |
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| Country/Territory | Mexico |
| City | Mexico City |
| Period | 01/9/5 → 01/9/7 |
ASJC Scopus subject areas
- Control and Systems Engineering