Regular Papers

International Journal of Control, Automation and Systems 2017; 15(3): 1032-1039

Published online May 22, 2017

https://doi.org/10.1007/s12555-016-0102-y

© The International Journal of Control, Automation, and Systems

Positive Observer Design for Linear Impulsive Positive Systems with Interval Uncertainties and Time Delay

Meng-Jie Hu, Yan-Wu Wang, and Jiang-Wen Xiao*

Huazhong University of Science and Technology

Abstract

This paper is concerned with the problem of positive observer design for impulsive positive systems (IPS) with interval uncertainties and time delay. A copositive Lyapunov-Krasovskii functional with exponential term is constructed. By applying the average impulsive interval method, sufficient conditions for the existence of the positive observer are established to guarantee the exponential stability of the corresponding augmented system, which ensures the designed positive observer can estimate the system states exponentially. Combined with the linear programming (LP) technique, an algorithm is developed to design the observer gain matrices. Finally, a numerical example is provided to show the effectiveness of the theoretical results."

Keywords Average impulsive interval method, copositive Lyapunov-Krasovskii functional, impulsive positive systems, interval uncertainties, positive observers, time delay.

Article

Regular Papers

International Journal of Control, Automation and Systems 2017; 15(3): 1032-1039

Published online June 1, 2017 https://doi.org/10.1007/s12555-016-0102-y

Copyright © The International Journal of Control, Automation, and Systems.

Positive Observer Design for Linear Impulsive Positive Systems with Interval Uncertainties and Time Delay

Meng-Jie Hu, Yan-Wu Wang, and Jiang-Wen Xiao*

Huazhong University of Science and Technology

Abstract

This paper is concerned with the problem of positive observer design for impulsive positive systems (IPS) with interval uncertainties and time delay. A copositive Lyapunov-Krasovskii functional with exponential term is constructed. By applying the average impulsive interval method, sufficient conditions for the existence of the positive observer are established to guarantee the exponential stability of the corresponding augmented system, which ensures the designed positive observer can estimate the system states exponentially. Combined with the linear programming (LP) technique, an algorithm is developed to design the observer gain matrices. Finally, a numerical example is provided to show the effectiveness of the theoretical results."

Keywords: Average impulsive interval method, copositive Lyapunov-Krasovskii functional, impulsive positive systems, interval uncertainties, positive observers, time delay.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

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