Abstract

A control strategy using linear matrix inequalities towards time delay and stochastic packet dropout of networked control system is proposed in this paper. First, a reconfigured target plant of networked control system is built based on a linear time-invariant target. Before discretization of target plant, a Pade approximation is employed towards the time delay segment of reconfigured target plant, while zero-order holder compensator and an estimator are employed for packet dropout of control input and measured output, respectively. Then the control target is reformed as a programming problem of an uncertain time-variant multi-parametric state space. In order to deal with such problem, herein the time-variant state space is rewritten as a linear parametric-varying prediction model by enumerating all possible occasions. Afterwards, a novel robust model predictive controller is proposed as a constrained minimax optimization of the predictive cost function. Finally, we present two simulations based on an aircraft model and a second-order numeric model, by which step responses and explicit solutions are derived, performed and analysed. Simulation results demonstrate both the stability and robustness of the proposed control strategy.

中文翻译：

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具有线性矩阵不等式的时滞和丢包的网络控制系统的控制策略

摘要

提出了一种针对网络控制系统的线性矩阵不等式对时延和随机丢包的控制策略。首先，基于线性时不变目标，建立了重构后的网络控制系统目标工厂。在离散化目标工厂之前，对重新配置的目标工厂的时延段采用Pade近似，而零阶持有者补偿器和估计器则分别用于控制输入和测量输出的数据包丢失。然后将控制目标重新设计为不确定的时变多参数状态空间的编程问题。为了解决这样的问题，在此通过列举所有可能的情况将时变状态空间改写为线性参数变化预测模型。之后，提出了一种新颖的鲁棒模型预测控制器，作为预测成本函数的约束极大极小优化。最后，我们提出了两个基于飞机模型和二阶数值模型的仿真，通过这些仿真，可以得出，执行和分析阶跃响应和显式解。仿真结果证明了所提出控制策略的稳定性和鲁棒性。