A New Approach for Stability Analysis of Discrete Systems

ABSTRACT

In this paper, a new approach is presented to calculate the stability margin of the discrete systems. It is based on the algorithm for reduced conservatism of eigenvalues and the Gerschgorin circle theorem. The necessary and sufficient condition for conservatism of eigenvalues of matrix is stated and proved mathematically. Moreover, the proposed approach is illustrated with an example and it is compared with the other existing methods.

KEYWORDS:

• Discrete system
• Gerschgorin circle theorem
• companion matrix
• stability margin

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

Vilas H. Gaidhane

Vilas H. Gaidhane received his B.E. degree in 2000 from the Department of Electronics, Nagpur University, Nagpur and the M. Tech. degree in 2010 from the Department of VLSI Design, UPTU, Lucknow, India. He also received Ph.D degree in Instrumentation and Control Engineering from the University of Delhi in 2013. He is currently working as an Assistant Professor in the Electrical and Electronics Engineering Department, Birla Institute of Technology and Science (BITS) Pilani Dubai, UAE. His research interest includes image processing, pattern recognition, and computer vision, control system, and microelectronics.

E-mail: [email protected]

Yogesh V. Hote

Yogesh V. Hote received his B.E. degree in Electrical Engineering from Govt. College of Engineering, Amravati, in 1998. Then, he received M.E. degree in Control Systems from Govt. College of Engineering, Pune, in 2000. He also received Ph.D degree in Instrumentation and Control Engineering, University of Delhi, in 2009. His field of research includes robust control, robotics, numerical analysis and power electronics. He is working as an Assistant Professor in the Electrical Engineering Department, Indian Institute of Technology (IIT) Roorkee, Roorkee, India.

E-mail: [email protected]