Abstract:
The sum of roots, initially introduced as an indicator of `average stability', has been proven useful in expressing achievable performance levels for some ℋ2 control prob...Show MoreMetadata
Abstract:
The sum of roots, initially introduced as an indicator of `average stability', has been proven useful in expressing achievable performance levels for some ℋ2 control problems. The drawback of this quantity is that it misses information on the oscillation property. To complement the quantity, another notion of the sum of imaginary parts is proposed in this paper. Further an algebraic method to compute this new quantity is suggested. This paper also shows that the performance limitation of the LQG problem in the SIMO plant case can be characterized in terms of the sum of roots. It is demonstrated by way of a design example that two contributions make it possible to minimize the achievable performance over plant parameters under a constraint on the oscillation of the closed-loop system.
Published in: 53rd IEEE Conference on Decision and Control
Date of Conference: 15-17 December 2014
Date Added to IEEE Xplore: 12 February 2015
ISBN Information:
Print ISSN: 0191-2216