Stabilization of a discrete-time system via nonlinear impulsive control

Shaohong Fang; Jing Huang; Jinying Ma

doi:10.3934/dcdss.2020106

Article Contents

2020, Volume 13, Issue 6: 1803-1811. Doi: 10.3934/dcdss.2020106

This issue Previous Article On evolution quasi-variational inequalities and implicit state-dependent sweeping processes Next Article An optimal pid tuning method for a single-link manipulator based on the control parametrization technique

Stabilization of a discrete-time system via nonlinear impulsive control

1.
School of Software Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China
2.
School of Information Science and Engineering, Fujian University of Technology, Fuzhou, Fujian 350118, China
3.
Business School, Hunan Normal University, Changsha 410081, China

^* Corresponding author: Jing Huang
^* Corresponding author: Jing Huang

Received: March 2018

Revised: August 2018

Published: April 2020

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Abstract

An impulsive control is one of the important stabilizing control strategies and exhibits many strong system performances such as shorten action time, low power consumption, effective resistance to uncertainty. This paper develops a nonlinear impulsive control approach to stabilize discrete-time dynamical systems. Sufficient conditions for asymptotical stability of discrete-time impulsively controlled systems are derived. Furthermore, an Ishi chaotic neural network is effectively stabilized by a designed nonlinear impulsive control.

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Mathematics Subject Classification: Primary: 34H15, 93C15; Secondary: 34D20.

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Figure 1. State trajectory of $ x_1(m) $ without nonlinear impulsive control

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Figure 2. State trajectory of $ x_2(m) $ without nonlinear impulsive control

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Figure 3. State trajectory of $ x_1(m) $ under nonlinear impulsive control

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Figure 4. State trajectory of $ x_2(m) $ under nonlinear impulsive control

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References

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