Guaranteed cost inequalities for robust stability and performance analysis
Copyright policy )Guaranteed cost inequalities for robust stability and performance analysis
AbstractIn this paper, we formulate robust stability and performance bounds in terms of guaranteed cost inequalities. We derive new guaranteed cost bounds for plants with real structured uncertainty, and we reformulate them as linear matrix inequalities (LMIs). In particular, we obtain a shifted linear bound and a shifted inverse bound, and give LMI forms for a shifted bounded real bound, a shifted Popov bound, a shifted linear bound and a shifted inverse bound. Several examples are used to compare the shifted bounds with their unshifted counterparts and to make comparisons among these new bounds and vertex LMI bounds. Copyright © 2002 John Wiley & Sons, Ltd.
- University of Michigan–Ann Arbor United States
- University of Michigan United States
- The Aerospace Corporation United States
- University of Michigan–Flint United States
Engineering, Design techniques (robust design, computer-aided design, etc.), Mechanical Engineering, Linear inequalities of matrices, Electronic, Electrical & Telecommunications Engineering, Industrial and Operations Engineering, Robust stability
Engineering, Design techniques (robust design, computer-aided design, etc.), Mechanical Engineering, Linear inequalities of matrices, Electronic, Electrical & Telecommunications Engineering, Industrial and Operations Engineering, Robust stability
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