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**Non-fragile control for nonlinear networked control systems with long time-delay.**
*(English)*
Zbl 1186.93031

Summary: This paper considers the non-fragile control problem for uncertain nonlinear networked control systems (NCSs) with long time-delay and controller gain perturbations. Firstly, the NCS model with random long time-delay is transformed into a discrete-time system model with uncertain parameters. Then, the Lyapunov stability theory and the linear matrix inequality (LMI) approach are applied to design a non-fragile controller, which results in the closed-loop system being asymptotically stable and the system’s cost function value being less than a determinate upper bound. At the same time, the existence condition and the design approach of a non-fragile controller are presented. Finally, simulation examples are employed to verify the validity of the proposed control algorithm.

### MSC:

93B52 | Feedback control |

### Keywords:

networked control systems; nonlinear systems; non-fragile control; time-delay; linear matrix inequality
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\textit{Y. Zhang} et al., Comput. Math. Appl. 57, No. 10, 1630--1637 (2009; Zbl 1186.93031)

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### References:

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