Fractional-Order PI Controller with Specific Gain–Phase Margin for MABP Control

ABSTRACT

Mean arterial blood pressure (MABP) is one of the most important clinical parameters which is required to be controlled very accurately. Therefore, it is very essential to have an efficient and precise control strategy for regulating the MABP in various clinical conditions, which can work well in uncertain operating environment, and also show good disturbance rejection. Although the fractional-order control scheme has evolved as a strong control strategy in recent times, the design techniques available in the literature are mathematically very complex and hence limit the usage of fractional-order controllers. Moreover, it is observed that the gain and phase margin based techniques that exist in the literature for integer order systems are not completely applicable to the fractional-order systems. Therefore, in this paper, a design scheme is proposed for fractional-order PI controller based on gain and phase margins for controlling the MABP. The beauty of the proposed technique is that the controller designed is found to give better disturbance rejection than the conventional proportional integral (PI) or the IMC-PI controllers for nominal as well as the sensitive and insensitive patients. Thus, the technique proposed here gives the dual advantage of computational simplicity as well as robust controller performance.

Keywords:

• Fractional-order controller
• Gain margin
• Mean arterial blood pressure (MABP)
• Phase margin
• Sodium nitro prusside (SNP)

Additional information

Notes on contributors

Swati Sondhi

Swati Sondhi received the B.E. degree in Electronics & Instrumentation engineering, from I.E.T., M.J.P. Rohilkhand University, Bareilly, INDIA, and M.E. in Electronic Instrumentation & Control engineering from Thapar University, Patiala, INDIA. She is currently pursuing Ph.D. degree in the area of control systems from Electrical Engineering department, Indian Institute of Technology Roorkee, INDIA.

E-mail: [email protected]

Yogesh V. Hote

Yogesh V. Hote received the B.E. degree in electrical engineering and the M.E. degree in control systems from Govt. College of Engineering, Amravati, India, and Govt. College of Engineering, Pune, India, in 1998 and 2000, respectively, and the Ph.D. degree in instrumentation and control engineering, University of Delhi in 2009. He is currently working as Assistant Professor in the Department of Electrical Engineering, Indian Institute of Technology Roorkee, INDIA. From May 31, 2001 to May 30, 2006, he worked as a Lecturer in the Department of Instrumentation and Control Engineering, Netaji Subhas Institute of Technology, New Delhi, INDIA and from May 31, 2006 to February 17, 2011 in the same department, he worked as an Assistant Professor. His field of research includes robust control and robotics.

E-mail: [email protected]