Induced L∞ Quantized Control for Exponential Synchronization of Complex Network Subject To Periodic Switched Coefficients
针对具有周期切换系数的复杂网络，提出一种动态量化方案下的诱导L∞同步控制器设计方法，通过凸优化给出控制器和参数依赖变量的设计条件，并用算例验证。
In this article, an induced <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathcal L_{\infty }$ </tex-math></inline-formula> synchronization controller design problem is proposed for the complex network with periodic switched coefficients under the dynamic quantization scheme. A novel periodic dynamic quantization scheme is utilized to handle the transmitted control signal to avoid the undesired networked problem, in which, the variables to be designed are introduced as parameter-dependent variables corresponding to the periodic switched coefficients of the complex network to increase the flexibility. Then, by using a robust-model-based approach, the dynamics of the synchronization error are modeled by a special uncertain system. The main purpose of the problem addressed is to design a synchronization controller, such that the complex network is exponentially synchronized with an induced <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathcal L_{\infty }$ </tex-math></inline-formula> performance. Sufficient conditions are established to guarantee the synchronization task. Next, the design conditions of both of synchronization controller and parameter-dependent variables related the dynamic adjustable parameter are characterized by the convex problem. An example demonstrates the proposed controller design criteria and the dynamic quantization scheme.