We derive closed-form solutions for the linear-quadratic (LQ) optimal control problem subject to integral quadratic constraints. The optimal control is a non-linear function of the current state and the initial state. Furthermore, the optimal control is easily calculated by solving an unconstrained
Bilinear quadratic optimal control: a recursive approach
β Scribed by B. Chanane
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 106 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0143-2087
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β¦ Synopsis
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. The optimal tracking problem is considered to illustrate the theory. An alternative method is derived which is proved to be more 'robust '. 1997
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