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Further refinement on controller design for linear systems with input saturation. (English) Zbl 1355.93164

Summary: This paper addresses on the design problem for a class of continuous-time linear systems under the saturated linear feedbacks. The concerned problem becomes an exponential stabilization one through the further refined treatment on the saturation nonlinearity, including a property of absolute value and the \(\mathcal{S}\)-procedure lemma. Then, sufficient Linear Matrix Inequality (LMI) conditions for its local exponential stabilizability are derived in the sense of Lyapunov stability criterion. A numerical example is provided to show the reduced conservatism of the proposed design conditions.

MSC:

93D21 Adaptive or robust stabilization
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
93D20 Asymptotic stability in control theory
93C05 Linear systems in control theory

Software:

LMI toolbox
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Full Text: DOI

References:

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