H2/H∞ networked control for high-speed train with parameter uncertainty and data transmission time-varying delay

The problem of output feedback stabilization for networked control system with time-varying delay is discussed. By constructing a novel LyapunovKrasovskii functional,the output feedback controller is obtained in terms of LMIs. The dynamics information of the time-varying delay is taken into account in the structured controller, and the obtained result is less conservative. A numerical example is given to illustrate the effectiveness of the presented method.

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Research on Stability of Networked Control System with Uncertain Time-Varying Delays

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.383-390.2138 ◽

2011 ◽

Vol 383-390 ◽

pp. 2138-2144

Author(s):

Wei Hao Ma ◽

Chao Yong Jin

Keyword(s):

Control System ◽

Sampling Period ◽

Networked Control System ◽

Networked Control ◽

Sufficient Condition ◽

Time Varying ◽

Matrix Inequalities ◽

Time Varying Delay ◽

Uncertain Time ◽

Varying Delay

This note deals with the problem of stability for networked control system (NCS) with uncertain time-varying delay that is less than on sampling period. A new stability scheme was proposed. Using an Lyapunov function, less conservative stability sufficient condition was derived for such system based on liner matrix inequalities (LMs). Finally a numerical example shows the superiority of the method in this paper.

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Non-fragile robust H∞ control of nonlinear networked control systems with time-varying delay and unknown actuator failures

International Journal of Intelligent Computing and Cybernetics ◽

10.1108/ijicc-11-2015-0040 ◽

2016 ◽

Vol 9 (3) ◽

pp. 298-312 ◽

Cited By ~ 2

Author(s):

Yueming Zhi ◽

Shun Jiang ◽

Feng Pan

Keyword(s):

Control Systems ◽

Networked Control Systems ◽

Networked Control ◽

Upper And Lower Bounds ◽

Time Varying ◽

Content Type ◽

Time Varying Delay ◽

Actuator Failures ◽

Nonlinear Networked Control Systems ◽

Varying Delay

Purpose This paper is concerned with non-fragile robust H∞ control problems for nonlinear networked control systems (NCSs) with time-varying delay and unknown actuator failures. The paper aims to discuss these issues. Design/methodology/approach The system parameters are allowed to have time-varying uncertainties and the actuator faults are unknown but whose upper and lower bounds are known. By using some lemmas, uncertainties can be replaces with the known values. By taking the exogenous disturbance and network transmission delay into consideration, a delay nonlinear system model is constructed. Findings Based on Lyapunov stability theory, linear matrix inequalities (LMIs) and free weighting matrix methods, the sufficient conditions for the existence of the non-fragile robust H∞ controller gain are derived and which can obtained by solving the LMIs. Finally, a numerical example is provided to illustrate the effectiveness of the proposed methods. Originality/value The introduced approach is interesting for NCSs with time-varying delay and unknown actuator failures.

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