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基于区间二型T-S模糊模型的网络控制系统的输出反馈预测控制
引用本文:唐晓铭,邓梨,虞继敏,屈洪春.基于区间二型T-S模糊模型的网络控制系统的输出反馈预测控制[J].自动化学报,2019,45(3):604-616.
作者姓名:唐晓铭  邓梨  虞继敏  屈洪春
作者单位:1.重庆邮电大学自动化学院工业物联网协同创新中心 重庆 400065
基金项目:重庆市基础与前沿研究项目cstc2017jcyjAX0453国家自然科学基金61871061重庆市教委科学技术项目KJQN201800645重庆市基础与前沿研究项目cstc2018jcyjAX0691国家自然科学基金61403055
摘    要:针对干扰作用下的非线性网络控制系统,给出了带一个自由控制作用的输出反馈预测控制方法.首先,利用区间二型T-S模糊模型描述具有参数不确定性的非线性对象,采用马尔科夫链描述系统中的随机丢包过程,由此建立了丢包网络环境下的非线性网络控制系统的数学模型.然后,通过引入二次有界技术得到了干扰作用下网络控制系统的稳定性描述方法,并在此基础上给出了状态观测器的线性矩阵不等式条件.最后,基于估计状态,通过将无穷时域控制作用参数化为一个自由控制作用加一个线性反馈律得到了输出反馈预测控制方法.论文的特色在于构建了在线更新误差椭圆集合的基本方法,满足了约束条件下输出反馈预测控制保证稳定性的要求.仿真例子验证了所提方法的有效性.

关 键 词:网络控制系统    预测控制    区间二型    二次有界
收稿时间:2017-09-28

Output Feedback Model Predictive Control for Interval Type-2 T-S Fuzzy Networked Control Systems
Affiliation:1.Industrial IoT Collaborative Innovation Center, College of Automation, Chongqing University of Posts and Telecommunications, Chongqing 4000652.Key Laboratory of Industrial Internet of Things and Networked Control, Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065
Abstract:For non-linear networked control systems with bounded disturbances, this paper presents an output feedback predictive control approach with one free control move. Firstly, an interval type-2 T-S fuzzy model is employed to describe the non-linear plant which is subject to parameter uncertainties, and a Markov chain is introduced to characterize the process of stochastic packet loss of the system, thus a mathematical model of non-linear networked control system with packet loss is established. Then, a method of describing the stability for a networked control system with bounded disturbances is obtained by using the technique of quadratic boundedness. With the help of the provided method, the linear matrix inequality conditions of the state observer are given. Finally, based on the estimated state, an output feedback predictive control algorithm is developed which parameterizes the infinite horizon control moves into one free control move and a linear feedback law. The main feature of this paper is that an essential formula for on-line refreshing ellipsoidal bounds of estimation errors is introduced, which meets the requirement of guaranteeing the stability of output feedback predictive control with input constraints. An example is given to demonstrate the effectiveness of the proposed method.
Keywords:
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