## Robust $$\mathbb H_{\infty}$$ PID control for multivariable networked control systems with disturbance/noise attenuation.(English)Zbl 1244.93047

Summary: We study the design problem of PID controllers for networked control systems (NCSs) with polyhedral uncertainties. The load disturbance and measurement noise are both taken into account in the modeling to better reflect the practical scenario. By using a novel technique, the design problem of PID controllers is converted into a design problem of output feedback controllers. Our goal of this paper is two-fold: (1) To design the robust PID tracking controllers for practical models; (2) To develop the robust $$\mathbb H_{\infty }$$ PID control such that load and reference disturbances can be attenuated with a prescribed level. Sufficient conditions are derived by employing advanced techniques for achieving delay dependence. The proposed controller can be readily designed based on iterative suboptimal algorithms. Finally, four examples are presented to show the effectiveness of the proposed methods.

### MSC:

 93B36 $$H^\infty$$-control 93C35 Multivariable systems, multidimensional control systems

### Keywords:

PID controllers; $$\mathbb H_{\infty }$$ performance

LMIRank
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### References:

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