Controller design via model order reduction for interval systems using Kharitonov theorem and Nevalinna-pick theory: a case study. (14th September 2021)

• Record Type: Journal Article
• Authors: Chauhan, Dharma Pal Singh; Singh, V.P.
• Is Part Of: International journal of system control and information processing. Volume 3:Number 3(2021)
• Page Start: 193
• Page End: 207
• Publication Date: 2021-09-14
• Subjects: controller design -- interval system -- Kharitonov theorem -- model order reduction -- Nevallina-pick theory -- robust stabilisability -- routh table truncation -- Padé approximation; System design -- Data processing -- Periodicals; Information technology -- Periodicals; 003.5
• Languages: English
• ISSNs: 1759-9334

Abstract

This manuscript describes a new procedure to design a controller for unstable high order interval systems using model order reduction and Nevalinna-pick theory. In this process, First, a high-order unstable interval system is converted into a reduced-order model in which improved Routh table truncation and time-moment matching techniques are applied. The denominator and numerator of reduced- order model are evaluated by improved Routh table truncation and time-moment matching technique, respectively. Next, employing the Kharitonov theorem and Nevalinna-pick theory, controller is designed for a reduced-order model in a certain range of uncertainty. To explain the procedure, the proposed method is applied to the fourth-order unstable interval system. Results prove the effectiveness of the method.