Regional Stability of Discrete-Time Linear Systems Subject to Asymmetric Input Saturation

This paper studies the problem of estimating the region of attraction of linear discrete-time systems with asymmetric input saturation. Using a Piecewise Quadratic Lyapunov function, we propose conditions for the local stability of the equilibrium. The asymmetric bounds of the saturation are conside...

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Bibliographic Details
Main Authors: Groff, Leonardo B., Gomes da Silva, Joao M., Valmorbida, Giorgio
Format: Conference Proceeding
Language:English
Subjects:
Actuators
Convex functions
Linear systems
Lyapunov methods
Numerical stability
Silicon
Stability analysis
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Summary:This paper studies the problem of estimating the region of attraction of linear discrete-time systems with asymmetric input saturation. Using a Piecewise Quadratic Lyapunov function, we propose conditions for the local stability of the equilibrium. The asymmetric bounds of the saturation are considered in these conditions. Estimates of the region of attraction, possibly asymmetric with respect to the origin, are computed by solving convex optimization problems. Numerical results illustrate the effectiveness of the proposed method.
ISSN:2576-2370
DOI:10.1109/CDC40024.2019.9030005