Analytical design of controller orienting higher-order closed-loop systems to minimum deadbeat response

3rd International Conference on Advances in Energy, Environment and Chemical Engineering

能源学;生态环境科学;化学工业

Zhang, Shengguo^1 ; Tang, Yuxuan^1 ; Luo, Chunlan^1

School of Electrical Engineering, Northwest Minzu University, Lanzhou

730030, China^1

关键词: Analytical design;    Application examples;    Characteristic polynomials;    Higher-order;    Numerator polynomials;    Pre filters;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/69/1/012092/pdf
DOI  :  10.1088/1755-1315/69/1/012092

学科分类：环境科学（综合）

来源: IOP

【 摘 要 】

This paper aims at designing controllers or compensators analytically so that designed higher-order closed-loop systems are oriented to having minimum deadbeat response. In accordance with the standardization transfer function of higher-order closed-loop system which has the minimum deadbeat response, a characteristic polynomial equation is configurated. This characteristic polynomial equation includes the unknown parameters of designed series controller/compensator. Solving this characteristic polynomial equation, the designed controller/compensator parameters can be determined. If the closed-loop system cannot meet the desired specifications, a pre-filter is cascaded ahead of the just designed closed-loop system. All the parameters of this pre-filter can be derived directly from the transfer function numerator polynomial of just designed closed-loop system. Application examples indicate the designed higher-order closed-loop systems certainly have the minimum deadbeat responses. This method provides another approach to analytically design the controllers or compensators for higher-order closed-loop systems.