A New Model Reduction Technique for the Design of Controller by Using Moment Matching Algorithm

Abstract

A new system abatement scheme is proposed for the abatement of the complexity of the large-scale continuous time dynamic plants. In this abatement technique, a generalized version of the standard pole clustering process is applied for the computation of reduced denominator coefficients of the abated model, and the coefficients of the abated numerator polynomial are calculated by using the improved Padé approximation method (IPAM). The generalized pole clustering algorithm (GPCA) ensures the retention of important characteristics of the large-scale systems such as stability and dominant poles in the abated system. The various performance error indices are computed to validate the proposed algorithm. The least performance error indices values indicate the superiority of the algorithm. The proposed scheme is implemented on several standard systems, and it is giving the least error indices values. After computing the abated model of the large-scale system, the transfer function of the abated system is used for the construction of PID and lead/lag compensators by applying a moment matching method. The controller constructed with the help of the abated model is applied to the actual higher-order plant, and it shows that the response of the closed-loop system of the actual model is completely overlapping with the response of the given reference plant. The proposed technique is compared with some standard and recent methods of reduced-order modeling. Further, the time responses are plotted and time-domain specifications are computed for showing the usefulness of the proposed scheme.

KEYWORDS:

• Higher-order systems
• Moment matching technique
• PID controller
• Reduced-order modeling
• System reduction

DISCLOSURE STATEMENT

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Arvind Kumar Prajapati

Arvind Kumar Prajapati received the BTech degree with a gold medal in the Electrical Engineering Department from UNSIET VBS Purvanchal University Jaunpur, Uttar Pradesh in 2013. He obtained his M.Tech. degree in the Department of Electrical Engineering with specialization in control and industrial automation from NIT, Silchar, Assam in 2015. He obtained a PhD degree in the Department of Electrical Engineering with specialization in systems and control from IIT Roorkee, Uttarakhand in 2019. He has been worked as a guest lecturer in UNSIET VBS PU Jaunpur in 2015. He worked as a senior assistant professor in Madanapalle Institute of Technology and Science Chittoor, Andhra Pradesh in 2019. Currently, he is working as an assistant professor senior grade-1 in the School of Electronics Engineering, Vellore Institute of Technology Andhra Pradesh. His research area includes model order diminution, large-scale systems, fault detection and accommodation, and integrated vehicle health management systems.

Rajendra Prasad

Rajendra Prasad obtained BSc (Hons) degree from Meerut University, Uttar Pradesh in 1973. He received BE, ME and PhD degrees from the University of Roorkee Uttarakhand in the Department of Electrical Engineering in 1977, 1979 and 1990, respectively. He has worked as an assistant engineer in Madhya Pradesh Electricity Board (MPEB) in 1979–1983. He worked as a lecturer at the University of Roorkee, Uttarakhand from 1983 to 1996. He served as an assistant professor from 1996 to 2001, associate professor in 2001–2009 and professor from 2009 to 2019 in IIT Roorkee, Uttarakhand. He has published around 315 publications in different national/international journals/conferences proceeding papers and received 15 awards on his publications. He has guided 20 research scholars, and currently, one scholar is doing research under him. His main research area includes model order diminution, data analysis, robotics and its applications, control, optimization and system engineering. Email: [email protected]