×
Shi, Yujing; Li, Shanqiang; Li, Yueru

Dynamic output feedback control of discrete-time nonlinear quadratic systems with stochastic parametric uncertainty and missing measurements. (English) Zbl 1471.93102

East Asian J. Appl. Math. 9, No. 2, 355-368 (2019).
The paper concerns finite-time dynamic output feedback control for a class of discrete-time nonlinear quadratic systems with stochastic parametric uncertainties and missing measurements. A sufficient condition for the finite-time stochastic boundedness is given.
Reviewer: Ti-Jun Xiao (Fudan)

MSC:

93B52 Feedback control
93C55 Discrete-time control/observation systems
93C10 Nonlinear systems in control theory
93E03 Stochastic systems in control theory (general)

Keywords:

discrete-time nonlinear quadratic system; missing measurement; output feedback control; finite-time stochastic boundedness
Cite Review PDF
Full Text: DOI

References:

[1] [1]F. Amato, R. Ambrosino, M. Ariola and A. Merola,Domain of attraction and guaranteed cost control for non-linear quadratic systems. Part1. Analysis, IET Control Theory Appl.6, 2611- 2618 (2012).
[2] [2]F. Amato, R. Ambrosino, M. Ariola and A. Merola,Domain of attraction and guaranteed cost control for non-linear quadratic systems. Part2. Controller design, IET Control Theory Appl.7, 565-572 (2013).
[3] [3]F. Amato, C. Cosentino and A. Merola,On the region of attraction of nonlinear quadratic systems, Automatica43, 2119-2123, (2007). · Zbl 1138.93028
[4] [4]F. Amato, C. Cosentino and A. Merola,Sufficient conditions for finite-time stability and stabilization of nonlinear quadratic systems, IEEE Trans. on Automat. Control55, 430-434 (2010). · Zbl 1368.93524
[5] [5]F. Amato, A. Merola and C. Cosentino,Finite-time stabilization via dynamic output feedback, Automatica42, 337-342 (2006). · Zbl 1099.93042
[6] [6]B. Bhiri, C. Delattre, M. Zasadzinski and K. Abderrahim,Results on finite-time boundedness and finite-time control of non-linear quadratic systems subject to norm-bounded disturbances, IET Control Theory Appl.11, 1648-1657 (2017).
[7] [7]G. Chesi,Estimating the domain of attraction via union of continuous families of Lyapunov estimates, Systems Control Lett.56, 326-333 (2007). · Zbl 1109.37012
[8] [8]P. Dorato,Short time stability in linear time-varying systems, in:Proceedings of the IRE International Convention Record, pp. 83-87, Polytechnic Institute of Brooklyn, Microwave Research Institute (1961).
[9] [9]P. Dorato,An overview of finite-time stability, in:Current Trends in Nonlinear Systems and Control, L. Menini, L. Zaccarian and C.T. Abdallah (Eds), pp. 185-194, System and Control: Foundations Applications, Birkhäuser (2006). · Zbl 1084.93001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.