The optimization of the time-invariant bilinear weakly coupled system with a quadratic performance criterion is considered. A sequence of linear state and costate equations is constructed such that the open-loop solution of the optimization problem is obtained in terms of the reduced-order subsystem
Synthesis of optimal bilinear controls
β Scribed by Gabriella Di Blasio
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 525 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper deals with the time-varying bilinear quadratic optimal control problem. Using Adomian's decomposition method, we shall first derive a functional expansion for the input-output map of the system, then transform the cost functional so that it yields the optimal control in a recursive manner
Stabilizing and optimizing feedback control policies are derived for the important class of bilinear systems with generalized quadratric cost functions. These policies as well as the resulting optimal costs are quadratic in the state. The optimal cost function is shown to be a Lyapunov function for
A bilinear model is introduced to study the effects of anti-tumor drugs on the kinetics of the cell cycle. Optimal control theory is applied in the estimation of these timevarying effects based on a least squares fit of laboratory data. This methodology enables the authors to quantify the effects of