A New Model Reduction Technique for the Simplification and Controller Design of Large-Scale Systems

Abstract

In this article, a new method for the simplification and controller design for large-scale linear dynamic plants is proposed. This method is applicable for both large-scale single input single output (SISO) and multiple input multiple output (MIMO) models. The diminution procedure is simple and it assurances the stability of the lower-order plant provided that the higher-order system (HOS) is stable. The characteristic equation of the desired system is evaluated by using the stability equation technique and the coefficients of the numerator polynomial are calculated by applying a simple mathematical process as mentioned in the proposed scenario. This algorithm is suggested for circumventing the limitations of the stability equation scheme and preserving its important features such as stability, passivity, etc. The proposed method ensures the retention of stability and static characteristic of the higher-order plant in the reduced model. For validating the accuracy and effectiveness of the proposed technique, it is implemented on the three standard real-time systems. These systems are further used for the comparison of the proposed method with some other popular existing algorithms. By using the proposed lower-order plant, a controller is obtained for the large-scale system with the help of the moment matching technique. The design of the controller is demonstrated and validated by a real-time system taken from the literature.

KEYWORDS:

• Complex systems
• Moment matching algorithm
• PID controller
• Reduced order modeling
• Stability equation

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 gold medal in the Electrical Engineering Department from UNSIET VBS Purvanchal University Jaunpur, Uttar Pradesh in 2013. He obtained the MTech degree in the Department of Electrical Engineering with a specialization in control and industrial automation from NIT Silchar, Assam in 2015. He obtained a PhD degree in the Department of Electrical Engineering with a specialization in systems and control from IIT Roorkee, Uttarakhand, India in 2019. He has worked as a guest lecturer at UNSIET VBS PU Jaunpur in 2015. He worked as a senior assistant professor at Madanapalle Institute of Technology and Science Chittoor, Andhra Pradesh in 2019. From January 2020 to October 2022, he worked as an assistant professor at Senior Grade-1 in the school of electronics engineering, Vellore Institute of Technology Andhra Pradesh. Currently, he is working as an assistant professor in the Electrical Engineering Department, National Institute of Technology Jamshedpur, Jharkhand. He has received 13 national/international awards for his academic performance. 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, India in the Department of Electrical Engineering in 1977, 1979, and 1990, respectively. He worked as an assistant engineer in Madhya Pradesh Electricity Board (MPEB) during 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 from 2001 to 2009, and professor from 2009 to 2019 at IIT Roorkee, Uttarakhand. He published over 320 papers in different national/international journals/ conferences proceeding papers and received 15 awards for his publications. He guided 20 research scholars and his research. His main research area includes model order diminution, data analysis, robotics and its applications, control, optimization, and system engineering. Email: [email protected]