Hankel norm approximation for well-posed linear systems
β Scribed by Ruth F. Curtain; Amol J. Sasane
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 148 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0167-6911
No coin nor oath required. For personal study only.
β¦ Synopsis
The sub-optimal Hankel norm approximation problem is solved for a well-posed linear system with generating operators (A; B; C) and transfer function G satisfying some mild assumptions. In the special case of the sub-optimal Nehari problem, an explicit parameterization of all solutions is obtained in terms of the system parameters A, B, C and G(0).
π SIMILAR VOLUMES
A Hankel-norm approximation method for recursive estimation is developed which unifies previous work, allows for an a priori bound on the performance of the approximate filter, and permits several new applications.
This is the first part in a three part study of the suboptimal full information H problem for a well-posed linear system with input space ΒΊ, state space H, and output space Β½. We define a cost function Q(x , u)" R> 1y(s), Jy(s)2 7 ds, where y3ΒΈ (R>; Β½) is the output of the system with initial state