Parameterization of a Novel Nonlinear Estimator for Uncertain SISO Systems with Noise Scenario

Ahmad Taher Azar, Farah Ayad Abdul-Majeed, Hasan Sh. Majdi, Ibrahim A. Hameed, Nashwa Ahmad Kamal, Anwar Jaafar Mohamad Jawad, Ali Hashim Abbas, Wameedh Riyadh Abdul-Adheem and Ibraheem Kasim Ibraheem
Additional contact information
Ahmad Taher Azar: College of Computer and Information Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Farah Ayad Abdul-Majeed: Aeronautical Department, College of Technical Engineering, Alfarahidi University, Baghdad 10070, Iraq
Hasan Sh. Majdi: Department of Chemical Engineering and Petroleum Industries, Al-Mustaqbal University College, Babylon 51001, Iraq
Ibrahim A. Hameed: Department of ICT and Natural Sciences, Norwegian University of Science and Technology, Larsgårdsve-gen, 2, 6009 Ålesund, Norway
Nashwa Ahmad Kamal: Faculty of Engineering, Cairo University, Giza 12613, Egypt
Anwar Jaafar Mohamad Jawad: Department of Computer Techniques Engineering, Al-Rafidain University College, Baghdad 10064, Iraq
Ali Hashim Abbas: College of Information Technology, Imam Ja’afar Al-Sadiq University, Al-Muthanna, Samawah 66002, Iraq
Wameedh Riyadh Abdul-Adheem: Department of Electrical Power Engineering Techniques, Al-Mamoun University College, Baghdad 10013, Iraq
Ibraheem Kasim Ibraheem: Department of Computer Techniques Engineering, Dijlah University College, Baghdad 10022, Iraq

Mathematics, 2022, vol. 10, issue 13, 1-17

Abstract: Dynamic observers are commonly used in feedback loops to estimate the system’s states from available control inputs and measured outputs. The presence of measurement noise degrades the performance of the observer and consequently degrades the performance of the controlled system. This paper presents a novel nonlinear higher-order extended state observer (NHOESO) for efficient state and disturbance estimation in presence of measurement noise for nonlinear single-input–single-output systems. The proposed nonlinear function allows a fast reconstruction of the system’s states and is robust against uncertainties and measurement noise. An analytical parameterization technique is proposed to parameterize the coefficients of the proposed nonlinear higher-order extended state observer in the case of measurement noise in the output signal. Several scenarios are simulated to demonstrate the effectiveness of the proposed observer.

Keywords: nonlinear systems; measurement noise; extended state observer; active disturbance rejection control; nonlinear function filtering (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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