Abstract
The stabilization of switched linear systems with constrained inputs (SLSCI) is considered. The authors design admissible linear state feedbacks and the switching rule which has a minimal dwell time (MDT) to stabilized the system. First, for each subsystem with constrained inputs, a stabilizing linear state feedback and an invariant set of the closed-loop system are simultaneously constructed, such that the input constraints are satisfied if and only if the closed-loop system’s states lie inside this set. Then, by constructing a quadratic Lyapunov function for each closed-loop subsystem, an MDT is deduced and an MDT-based switching strategy is presented to ensure the stability of the switched system.
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This work is supported by the National Nature Science Foundation of China under Grant Nos: 60674022, 60736022, and 62821091.
This paper was recommended for publication by Editor Yiguang HONG.
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Ni, W., Cheng, D. Stabilization of switched linear systems with constrained inputs. J Syst Sci Complex 25, 60–70 (2012). https://doi.org/10.1007/s11424-012-9319-x
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DOI: https://doi.org/10.1007/s11424-012-9319-x