Frequency-domain-based Robustness Analysis for PID Generalized Predictive Control

2006, Volume 8, Issue 10

Abstract

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Strategic Study of CAE >> 2006, Volume 8, Issue 10

Frequency-domain-based Robustness Analysis for PID Generalized Predictive Control

Department of Automation , Nankai University, Tianjin 300071, China

Funding project：国家自然科学基金资助项目(60374037，60574036)；高校博士学科点专项基金项目(20050055013)，教育部新世纪优秀人才支持计划(2005-290) Received: 2005-09-12 Revised: 2006-01-17 Available online: 2006-10-20

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Abstract

The closed-loop feedback structure of PID generalized predictive control (PID - GPC) is proposed, then small-gain criterion is used to obtain a sufficient condition for the robust stability of PID - GPC under the condition of model-plant mismatch ( MPM) . Further more, the influence of PID - GPC parameter tuning on its robustness is analyzed in frequency domain.

Keywords

predictive control ; robustness ; frequency domain ; small-gain criterion ; PID control

Figures

图1 PID-GPC 的反馈结构图

图2Ki对稳定界变化的影响效果

图3Kp对稳定界变化的影响效果

图4Kd对稳定界变化的影响效果

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