Publication: Convergence of H-infinity optimal actuator locations

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Title	Convergence of H-infinity optimal actuator locations
Authors/Editors*	D, Kasinathan, K, Morris
Where published*	50th IEEE conference on Decission and Control
How published*	Proceedings
Year*	2011
Volume
Number
Pages	627-632
Publisher
Keywords	H-infinity control, optimal actuator location
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Abstract	In control of vibrations, diffusion and many other problems governed by partial differential equations, there is freedom in the choice of actuator location. The actuator location should be chosen to optimize performance objectives. In this paper, we consider H-infinity performance with state-feedback. It is shown that the corresponding optimal actuator problem is well-posed. In practice, approximations are used to determine the optimal actuator location. The optimal performance and the corresponding actuator location of the approximating sequence should converge to the exact optimal performance and location. Conditions for this convergence in the case of H-infinity-control are provided. The results are illustrated with an example.