期刊
INTERNATIONAL JOURNAL OF CONTROL
卷 83, 期 7, 页码 1339-1346出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207171003692662
关键词
polytopic invariant sets; optimisation; constrained control
资金
- Research Council KUL
- OPTEC [CoE EF/05/006]
- FWO [G.0452.04, G.0499.04, G.0211.05, G.0226.06, G.0321.06, G.0302.07, G.0320.08, G.0558.08, G.0557.08]
- IWT
- Helmholtz: viCERP
- Belgian Federal Science Policy Office [IUAP P6/04]
- EU: ERNSI
A method is presented for determining invariant low-complexity polytopic sets and associated linear feedback laws for linear systems with polytopic uncertainty. Conditions based on the relationship between 2- and infinity-norms are used to define an initial invariant low-complexity polytope as the solution of a semi-definite program. The problem of computing a maximal controlled invariant low-complexity polytopic set is then formulated as a bilinearly constrained problem, and a relaxation of this problem is derived as an iterative sequence of convex programs. The proposed method scales linearly with the state dimension, which allows the possibility of determining low-complexity robust controlled invariant sets for high-order systems.
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