Sliding mode cubic observer for state estimation of linear and Lipschitz nonlinear systems

Abstract

This paper proposes a composite state observer structure that combines the sliding mode and cubic observers for state estimation of linear time-invariant and nonlinear Lipschitz systems. The proposed observer generalises the aforementioned ones and can be reduced by the proper assignment of parameters. Convergence criteria and performance advantages are given for the proposed observer structure. The paper also provides a simple structural parameter selection framework for the design of the sliding mode and sliding mode cubic observers. Simulation examples show the superiority of the proposed observer to the existing ones.

KEYWORDS:

• Cubic observer
• sliding mode observer
• state observer
• state estimation
• Lipschitz systems

Disclosure statement

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

Additional information

Notes on contributors

Mohammad Mahdi Share Pasand

Mohammad Mahdi Share Pasand was born in 1984. He received B.Sc., M.Sc. and PhD in Control Systems from Sharif University of Technology, KN Toosi University of Technology and Shahid Beheshti University, Tehran, Iran. He is a faculty member at the Standard Research Institute of Iran. His research interests include networked control, linear system theory and estimation.

Ali Akbar Ahmadi

Ali Akbar Ahmadi received his B.S. degree from Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran, in 2005, an M.Sc. degree from Tarbiat Modares University, Tehran, in 2007 and his Ph.D. degree from University of Tehran, Tehran, Iran in 2015, all in electrical engineering. From 2015 to 2017, he was a member of distributed control systems committee in the Tehran Regional Electric Company. Since September 2017, he has been with the School of Electrical and Computer Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran. His research interests include networked control systems, fault detection and diagnosis, cyber-physical systems and cyber-security and industrial automation.