Robustly exponential stabilization of hybrid uncertain systems by feedback controls based on discrete-time observations

Surong You, Liangjian Hu, Wei Mao and Xuerong Mao

Statistics & Probability Letters, 2015, vol. 102, issue C, 8-16

Abstract: This paper deals with the problem of stabilizing a hybrid stochastic system with norm bounded uncertainties. State-feedback controls based on discrete-time observations are designed in the drift and diffusion parts of the system. The controlled system will be robustly exponentially stable in mean-square. Applying linear matrix inequality techniques, criteria to determine controllers and time lags are developed. One numerical example is given to verify our techniques.

Keywords: Brownian motion; Hybrid uncertain systems; Robust stabilization; Feedback control; Discrete-time observations (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (11)

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DOI: 10.1016/j.spl.2015.03.006

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