A design method for Internal Model Controllers for minimum-phase unstable plants

作者：Chen Zhong Xiang^*; Yamada Kou; Mai Nghia Thi; Murakami Iwanori; Ando Yoshinori; Hagiwara Takaaki; Hoshikawa Tatsuya

来源：ICIC Express Letters, 2010, 4(6 A): 2045-2050.

• A plants
• Closed loop stability
• Closed-loop performance
• Control problems
• Controller designs
• Controller parameter
• Design method
• Internal model control
• Internal model controllers
• Internal models
• Minimum phase
• Online tuning
• Stabilizing controllers
• Unstable plants

In the present paper, we examine the parameterization of all stabilizing Internal Model Controllers for minimum-phase unstable plants. The parameterization problem is the problem in which all stabilizing controllers for a plant are sought. Since this parameterization can successfully search for all proper stabilizing controllers, it is used as a tool for many control problems. However, there exists a question whether or not, stabilizing controllers for unstable plants can be represented by Internal Model Control structure that has advantages such as closed-loop stability is assured simply by choosing a stable Internal Model Controller and closed-loop performance characteristics are related directly to controller parameters, which makes on-line tuning of the Internal Model Controller very convenient. For this question, Morari and Zafiriou examined the parameterization of all stabilizing Internal Model Controllers for unstable plants. Their parameterization remains difficulties. Their internal model is not necessarily proper. In addition, their parameterization includes improper Internal Model Controllers. In this paper, we propose the parameterization of all proper stabilizing Internal Model Controllers such that the internal model is proper for minimum-phase unstable plants. In addition, we present an application of the result for controller design for time-delay plant.

• 出版日期2010