Abstract
A double convex combination matrix inequality rising in control and filtering problems of dynamic systems is revisited in this paper. Focus is placed on comparisons of conservatism caused by some commonlyused sufficient conditions which ensure the validity of the double convex combination matrix inequality. It is found that the conservatism of analysis and synthesis results of the control and filtering problems for a large class of systems, such as polytopic systems, parameter varying systems as well as Takagi-Sugeno (TS) model based nonlinear systems, mainly involves the sufficient conditions corresponding to the double convex combination matrix inequality. Four sufficient conditions for the validity of the double convex combination matrix inequality are presented. By the matrix-string set approach and analytic tools of negative semi-definiteness of symmetric matrices, detailed comparison results for conservatism of these sufficient conditions are provided.
| Original language | English |
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| Title of host publication | Proceedings of the 49th IEEE Conference on Decision and Control, held in Atlanta, USA, 15-17 Dec. 2010 |
| Publisher | IEEE Press |
| Pages | 4287-4292 |
| Number of pages | 6 |
| ISBN (Print) | 9781424477456 |
| Publication status | Published - 2010 |
| Event | IEEE Conference on Decision and Control - Duration: 12 Dec 2017 → … |
Conference
| Conference | IEEE Conference on Decision and Control |
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| Period | 12/12/17 → … |
Keywords
- matrices
- nonlinear control theory