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
Optimal control of distributed bilinear systems
β Scribed by S.P. Banks
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 331 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0167-6911
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π SIMILAR VOLUMES
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
## Abstract The partial differential equations of motion for an uncontrolled distributed structure can be transformed into a set of independent modal equations in terms of natural coβordinates. It is common practice to design control forces that recouple the modal equations so that the natural coβo