丢包网络化控制系统非脆弱量化H控制

Non-fragile Quantized H Control for Networked Control System with Packet Dropouts

  • 摘要: 针对非线性网络化控制(NCS)系统中控制器参数存在摄动的问题,考虑传感器—控制器和控制器—执行器均存在随机丢包和量化误差,提出了一种加性非脆弱量化H控制器的设计方法.利用李亚普诺夫稳定性理论和线性矩阵不等式(LMI)方法,将该问题转化为线性矩阵不等式约束和线性目标函数的凸优化问题进行求解,给出了丢包下的非脆弱量化H控制器存在的充分条件.所设计的控制器在容许的参数摄动、丢包概率和量化密度条件下,不仅能保证闭环NCS的稳定性和性能要求,而且是非脆弱的.数值仿真验证了所提方法的有效性.

     

    Abstract: To address the problem involving a class of nonlinear networked control systems with controller parameter uncertainties, we simultaneously consider sensor-to-controller and controller-to-actuator packet dropouts and quantization errors, and present an approach for designing a non-fragile quantized H controller with additive gain uncertainties. Based on Lyapunov stability theory and linear matrix inequality (LMI), we convert the design of the controller with uncertain gain into a convex optimization problem with linear matrix inequality constraints. We then establish sufficient conditions for the existence of a non-fragile robust H controller in the case of packet dropouts. The proposed controller is robust and non-fragile, and can assure the stability and H performance of a closed system with a packet-dropout rate, gain perturbation, and quantization density in permitted ranges. Finally, we use a numerical simulation to demonstrate the effectiveness of the proposed approach.

     

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