Abstract
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.
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