This paper considers the problem of constructing a controller which quadratically stabilizes an uncertain system and minimizes a guaranteed cost bound on a quadratic cost function. The solution is obtained via a parameter-dependent linear matrix inequality problem.
โฆ LIBER โฆ
Discrete linear optimal control systems with quadratic cost functionals
โ Scribed by Koichi Mizukami; Jun Neyama; Ian McCausland
- Book ID
- 107755449
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 560 KB
- Volume
- 298
- Category
- Article
- ISSN
- 0016-0032
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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