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具有自适应事件触发机制的网络化区间二型T-S模糊系统的广义高效鲁棒预测控制

Generalized efficient robust predictive control for networked interval type-2 T-S fuzzy system with adaptive event-triggered scheme.

作者信息

Tang Xiaoming, Wang Jialiang, Zhao Kun, Lv Xiao

机构信息

The Key Laboratory of Industrial Internet of Things and Networked Control, Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing, China; The College of Automation and Advanced Scientific Research Institute, Chongqing University of Posts and Telecommunications, Chongqing, China.

The Key Laboratory of Industrial Internet of Things and Networked Control, Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing, China; The College of Automation and Advanced Scientific Research Institute, Chongqing University of Posts and Telecommunications, Chongqing, China.

出版信息

ISA Trans. 2023 Dec;143:103-114. doi: 10.1016/j.isatra.2023.08.025. Epub 2023 Aug 25.

Abstract

This article studies the generalized efficient robust predictive control (GERPC) for the nonlinear systems denoted by interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy model over networks with consideration of packet dropout, bounded disturbance and adaptive event-triggered scheme (AETS). First, the packet dropout is described by a Bernoulli process, and an AETS with thresholds that can be self-regulated according to different situations is employed to decide whether to release data into the communication network, so as to reduce the data transmission frequency and the network burden; Second, taking into consideration of packet dropout and AETS, a unified IT2 T-S fuzzy control model based on GERPC is established, and the stability of closed-loop system with bounded disturbance is guaranteed by quadratic boundedness (QB) technique; Third, generalized efficient robust predictive controller is designed to obtain a larger initial feasible region, smaller online computation and acceptable control performance. The unconstrained control law is designed offline, and a new variable will be optimized online to achieve good control performance, which is introduced to adjust the control quantity. Then, the convex LMI reformulation method is utilized to handle non-convex terms in optimization problem, and the effectiveness of the GERPC algorithm is proved by the matrix partition technique. At last, the effectiveness of the designed controller based on the GERPC strategy is verified by a given simulation experiment.

摘要

本文研究了具有数据包丢失、有界干扰和自适应事件触发机制(AETS)的网络上由区间二型(IT2)高木-关野(T-S)模糊模型表示的非线性系统的广义高效鲁棒预测控制(GERPC)。首先,用伯努利过程描述数据包丢失,并采用一种具有可根据不同情况自动调节阈值的AETS来决定是否将数据释放到通信网络中,以降低数据传输频率和网络负担;其次,考虑数据包丢失和AETS,建立了基于GERPC的统一IT2 T-S模糊控制模型,并通过二次有界性(QB)技术保证了有界干扰下闭环系统的稳定性;第三,设计广义高效鲁棒预测控制器以获得更大的初始可行域、更小的在线计算量和可接受的控制性能。无约束控制律离线设计,在线优化一个新变量以实现良好的控制性能,该变量用于调整控制量。然后,利用凸线性矩阵不等式(LMI)重构方法处理优化问题中的非凸项,并通过矩阵划分技术证明了GERPC算法的有效性。最后,通过给定的仿真实验验证了基于GERPC策略设计的控制器的有效性。

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