Local stabilization for a class of nonlinear impulsive switched system with non-vanishing uncertainties under a norm-bounded control input

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Ghalehnoie Mohsen; AKBARZADEH TOTONCHI MOHAMMAD REZA; PARIZ NASER

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Journal: Journal of Control Year:2019 | Volume:13 | Issue:1 Page(s): 21-33

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Title

Local stabilization for a class of nonlinear impulsive switched system with non-vanishing uncertainties under a norm-bounded control input

Author(s)

Ghalehnoie Mohsen | AKBARZADEH TOTONCHI MOHAMMAD REZA | PARIZ NASER | Issue Writer Certificate

Keywords

Exponential stabilityQ2

Nonlinear impulsive switched systemsQ1

Non-vanishing uncertaintyQ1

Norm-bounded inputQ1

State feedbackQ1

Abstract

Stability and stabilization of impulsive switched system have been considered in recent decades, but there are some issues that are not yet fully addressed such as actuator saturation. This paper deals with expo-nential stabilization for a class of Nonlinear impulsive switched systems with different types of non-vanishing uncertainties under the norm-bounded control input. Due to the constrained control signal, the local stabilization is here considered. To establish local stabilization criteria, at first, based on multiple Lyapunov functions technique and minimum dwell-time approach, sufficient conditions for a more gen-eral model of impulsive switched systems are proposed. These conditions are also local which increases the chances of achieving the goals compared to existing global techniques. Also, unlike conventional mul-tiple Lyapunov function techniques, this paper considers converging to a sufficient small ultimate bound because of non-vanishing property of the uncertainties. Secondly, the proposed conditions for the general model are applied to the given system and the sufficient stability conditions are formed into linear and bi-linear matrix inequalities. After these, to achieve the parameters of stabilizing control signal along with the largest convergence area and smallest ultimate bound, an optimization problem is proposed. Finally, some illustrative numerical examples are presented to demonstrate the proposed approach.

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APA: Copy

Ghalehnoie, Mohsen, AKBARZADEH TOTONCHI, MOHAMMAD REZA, & PARIZ, NASER. (2019). Local stabilization for a class of nonlinear impulsive switched system with non-vanishing uncertainties under a norm-bounded control input. JOURNAL OF CONTROL, 13(1 ), 21-33. SID. https://sid.ir/paper/120767/en

Vancouver: Copy

Ghalehnoie Mohsen, AKBARZADEH TOTONCHI MOHAMMAD REZA, PARIZ NASER. Local stabilization for a class of nonlinear impulsive switched system with non-vanishing uncertainties under a norm-bounded control input. JOURNAL OF CONTROL[Internet]. 2019;13(1 ):21-33. Available from: https://sid.ir/paper/120767/en

IEEE: Copy

Mohsen Ghalehnoie, MOHAMMAD REZA AKBARZADEH TOTONCHI, and NASER PARIZ, “Local stabilization for a class of nonlinear impulsive switched system with non-vanishing uncertainties under a norm-bounded control input,” JOURNAL OF CONTROL, vol. 13, no. 1 , pp. 21–33, 2019, [Online]. Available: https://sid.ir/paper/120767/en

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