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

Abstract

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.

Citation

Zhi, Y., Jiang, S. and Pan, F. (2016), "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, Vol. 9 No. 3, pp. 298-312. https://doi.org/10.1108/IJICC-11-2015-0040