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基于Backstepping方法的MIMO过程分散PID控制器设计
引用本文:张艳, 李少远. 基于Backstepping方法的MIMO过程分散PID控制器设计. 自动化学报, 2005, 31(5): 675-682.
作者姓名:张艳  李少远
作者单位:1.Institute of Automation, Shanghai Jiaotong University, Shanghai 200030
基金项目:Supported by National Natural Science Foundation of P. R. China (60474051),Program for New Century Excellent Talents in University, and the Specialized Research Fund for the Doctoral Program of Higher Education of P. R. China (20020248028)
摘    要:A novel decentralized PID controller design procedure based on backstepping principles is presented to operate multiple-input multiple-output (MIMO) dynamic processes. The first key feature of the design procedure is that a whole MIMO control system is decomposed into multiple control loops, therefore the sub-controllers can be efficiently flexibly designed in parallel prototype. The second key feature is that the decentralized controller has equivalency to those designed by backstepping approach. As a complementary support to the design procedure, the sufficient condition of the whole closed-loop system stability is analyzed via the small gain theorem and it can be proven that the process tracking performance is improved. The simulation results of the Shell benchmark control problem are provided to verify the effectiveness and practicality of the proposed decentralized PID control.

关 键 词:Backstepping   decentralized PID control   small gain theorem   Shell benchmark control problem
收稿时间:2004-01-26
修稿时间:2005-06-08

Backstepping-based Decentralized PID Controller Design for MIMO Processes
ZHANG Yan, LI Shao-Yuan. Backstepping-based Decentralized PID Controller Design for MIMO Processes. ACTA AUTOMATICA SINICA, 2005, 31(5): 675-682.
Authors:ZHANG Yan  LI Shao-Yuan
Affiliation:1. Institute of Automation, Shanghai Jiaotong University, Shanghai 200030
Abstract:A novel decentralized PID controller design procedure based on backstepping principles is presented to operate multiple-input multiple-output(MIMO)dynamic processes.The first key feature of the design procedure is that a whole MIMO control system is decomposed into multiple control loops,therefore the sub-controllers can be efficiently flexibly designed in parallel prototype. The second key feature is that the decentralized controller has equivalency to those designed by backstepping approach.As a complementary support to the design procedure,the sufficient condition of the whole closed-loop system stability is analyzed via the small gain theorem and it can be proven that the process tracking performance is improved.The simulation results of the Shell benchmark control problem are provided to verify the effectiveness and practicality of the proposed decentralized PID control.
Keywords:Backstepping   decentralized PID control   small gain theorem   Shell benchmark control problem
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