Journal
SYSTEMS & CONTROL LETTERS
Volume 62, Issue 10, Pages 871-879Publisher
ELSEVIER
DOI: 10.1016/j.sysconle.2013.06.012
Keywords
Saturation nonlinearity; Convex sets; Convex hull; Invariant sets; Constrained control; Nested saturations
Funding
- National Natural Science Foundation of China [61104124, 61273028]
- Fundamental Research Funds for the Central Universities [HIT.BRETIII.201210]
- Foundation for Innovative Research Group of the National Natural Science Foundation of China [61021002]
- Program for New Century Excellent Talents in University [NCET-11-0815]
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This paper is concerned with the analysis and design of discrete-time linear systems subject to nested saturation functions. By utilizing a new compact convex hull representation of the saturation nonlinearity, a linear matrix inequalities (LMIs) based condition is obtained for testing the local and global stability of the considered nonlinear system. The estimation of the domain of attraction and the design of feedback gains such that the estimation of the domain of attraction for the resulting closed-loop system is maximized are then converted into some LMIs based optimization problems. Compared with the existing results on the same problems, the proposed solutions are less conservative as more slack variables are introduced into the conditions. A couple of numerical examples are worked out to validate the effectiveness of the proposed approach. (C) 2013 Elsevier B.V. All rights reserved.
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