NDLI: Successive approximation for H/sub /spl infin//

Content Provider	IEEE Xplore Digital Library
Author	Yong Liu Yedavalli, R.K.
Copyright Year	1994
Description	Author affiliation: Dept. of Aeronaut. & Astronaut. Eng., Ohio State Univ., Columbus, OH, USA (Yong Liu; Yedavalli, R.K.)
Abstract	This paper gives three new algorithms for the H/sub /spl infin// control problem based on the idea of successive approximation. Unlike the generally used solution procedure based on the central Riccati equation, the proposed algorithms use a gain-updating scheme which has the advantage of connecting any stabilizing gain to the H/sub /spl infin// optimal gain. Various properties of the updating scheme are proved. In particular, it is shown under mild conditions that the existence, stabilizability and monotonicity of the solutions of the Riccati equation at each step are naturally guaranteed. The algorithms only involve an H/sub /spl infin// norm evaluation problem at each step and are proved to be convergent to the central solution for the given parameter of H/sub /spl infin// norm bound. These algorithms are particularly effective when the system order is large. A numerical example is given to illustrate the proposed algorithms.
Starting Page	2757
Ending Page	2761
File Size	576959
Page Count	5
File Format	PDF
ISBN	0780317831
DOI	10.1109/ACC.1994.735070
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-06-29
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Riccati equations Approximation algorithms Prediction algorithms Control systems Aerospace engineering Joining processes State feedback Optimal control Centralized control Search methods
Content Type	Text
Resource Type	Article

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