CLOSED FORMULAS FOR A PARAMETRIC MIXED SENSITIVITY PROBLEM

Journal article

Mixed sensitivity optimization is a two block problem which normally requires an iterative solution. The purpose of this paper is to give an explicit closed formula for the optimal cost in the case of a parametric mixed sensitivity problem. We also show that all the controllers which satisfy an arbitrary H∞-norm bound may be parameterized in terms of the solutions to the standards H2 Riccati equations. We hope that these results will help progress towards closed formulae for the optimal cost in a wider class of problems. © 1989.

Authors: Kasenally, E; Limebeer, D

• Publication status: Published
• Journal: SYSTEMS and CONTROL LETTERS
• Volume: 12
• Issue: 1
• Pages: 1-7
• Publication date: 1989-01-01
• DOI: 10.1016/0167-6911(89)90088-1
• ISSN: 0167-6911
• Language: English
• Keywords: H∞-optimal control; Optimal cost; mixed sensitivity