Title: Controller design via model order reduction for interval systems using Kharitonov theorem and Nevalinna-pick theory: a case study

Authors: Dharma Pal Singh Chauhan; V.P. Singh

Addresses: Department of Electrical Engineering, Axis Institute of Technology and Management, Kanpur, 209402, UP, India ' Department of Electrical Engineering, Malaviya National Institute of Technology Jaipur, Jaipur, 302017, Rajasthan, India

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.

Keywords: controller design; interval system; Kharitonov theorem; model order reduction; Nevallina-pick theory; robust stabilisability; routh table truncation; Padé approximation.

DOI: 10.1504/IJSCIP.2021.117694

International Journal of System Control and Information Processing, 2021 Vol.3 No.3, pp.193 - 207

Accepted: 13 Feb 2021
Published online: 21 Sep 2021 *