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International Journal of Control Volume 78, 2005 - Issue 15
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Original Articles

H∞ synthesis of unknown input observers for non-linear Lipschitz systems

A. M. Pertew
,
H. J. Marquez *
&
Q. Zhao
Pages 1155-1165 | Received 16 Dec 2004, Accepted 20 Apr 2005, Published online: 19 Aug 2006

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Latifa Boutat-Baddas, Gloria-Lilia Osorio-Gordillo & Mohamed Darouach. (2021) H∞ dynamic observers for a class of nonlinear systems with unknown inputs. International Journal of Control 94:3, pages 558-569.
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M. Witczak & P. Pretki. (2007) Design of an extended unknown input observer with stochastic robustness techniques and evolutionary algorithms. International Journal of Control 80:5, pages 749-762.
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H. Arezki, D. Bouhadjra, K. Chaib-Draa, A. Zemouche, I. N'Doye & T. M. Laleg-Kirati. (2021) LMI Feasibility Improvement to Design Observers for a Class of Lipschitz Nonlinear Systems. LMI Feasibility Improvement to Design Observers for a Class of Lipschitz Nonlinear Systems.
Mohammad Mahdi Share Pasand & Ali Akbar Ahmadi. (2021) Cubic Observers for State Estimation of Nonlinear Systems. Journal of Control, Automation and Electrical Systems 32:5, pages 1131-1142.
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Mahnoosh Shajiee, Seyed Kamal Hosseini Sani, Mohammad Bagher Naghibi-Sistani & Saeed Shamaghdari. (2020) Robust dynamic sliding mode observer design for a class of nonlinear systems. Transactions of the Institute of Measurement and Control 43:2, pages 335-343.
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Mahnoosh Shajiee, Seyed Kamal Hosseini Sani, Saeed Shamaghdari & Mohammad Bagher Naghibi-Sistani. (2020) Design of a robust dynamic sliding mode torque observer for the 100 KW wind turbine . Sustainable Energy, Grids and Networks 24, pages 100393.
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Kazem Zare, Mokhtar Shasadeghi, Afshin Izadian, Taher Niknam & Mohammad Hassan Asemani. (2020) Switching TS fuzzy model-based dynamic sliding mode observer design for non-differentiable nonlinear systems. Engineering Applications of Artificial Intelligence 96, pages 103990.
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Hassen Hichri & Mounir Ayadi. (2020) Design of multiobserver for nonlinear systems represented by fuzzy T–S models with sensor faults. SN Applied Sciences 2:10.
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Hai Liu, Maiying Zhong, Yang Liu & Zuqiang Yang. (2020) An Observer and Post Filter Based Scheme for Fault Estimation of Nonlinear Systems. International Journal of Control, Automation and Systems 18:8, pages 1956-1964.
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Yujie Zhao, Cong Lin & Xiushan Cai. (2019) H ∞ Functional Observer Design for One-Sided Lipschitz Nonlinear Systems with Time-Delay . H ∞ Functional Observer Design for One-Sided Lipschitz Nonlinear Systems with Time-Delay .
Abdelghani Hamaz, Khadidja Chaib Draa, Fazia Bedouhene, Ali Zemouche & Rajesh Rajamani. (2019) Observer design of descriptor nonlinear system with nonlinear outputs by using -optimality criterion . Journal of the Franklin Institute 356:6, pages 3531-3553.
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Lama Hassan, Ali Zemouche & Mohamed Boutayeb. 2019. Stability, Control and Application of Time-delay Systems. Stability, Control and Application of Time-delay Systems 79 97 .
Marcin Witczak & Marcin Pazera. 2019. Fault Diagnosis of Dynamic Systems. Fault Diagnosis of Dynamic Systems 263 293 .
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Vikash Sinha & Sharifuddin Mondal. (2017) Recent development on performance modelling and fault diagnosis of fuel cell systems. International Journal of Dynamics and Control 6:2, pages 511-528.
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Hamideh Sedigh Ziyabari & Mahdi Aliyari Shoorehdeli. (2016) Fuzzy robust fault estimation scheme for a class of nonlinear systems based on an unknown input sliding mode observer. Journal of Vibration and Control 24:10, pages 1861-1873.
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L. Meyer, D. Ichalal, V. Vigneron, C. Vasiljevic & J. Oswald. (2017) A new Minimum Variance Observer for Stochastic LPV systems with Unknown Inputs * *This work is supported by the CNES (Centre National d’Etudes spatiales), France. IFAC-PapersOnLine 50:1, pages 4947-4953.
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A. Oveisi & T. Nestorović. (2017) Active Vibration Control Based on Static Anti-windup Compensator and Unknown Input Observation. IFAC-PapersOnLine 50:1, pages 13354-13359.
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Mariusz Buciakowski, Marcin Witczak, Vicenç Puig, Damiano Rotondo, Fatiha Nejjari & Józef Korbicz. (2017) A bounded-error approach to simultaneous state and actuator fault estimation for a class of nonlinear systems. Journal of Process Control 52, pages 14-25.
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Sohaira Ahmad, Muhammad Rehan & Keum-Shik Hong. (2016) Observer-based robust control of one-sided Lipschitz nonlinear systems. ISA Transactions 65, pages 230-240.
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Zhaoke Ning & Jinyong Yu. (2016) A new dynamic observer approach to fault detection for LTI system. A new dynamic observer approach to fault detection for LTI system.
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Xiao-Kun Du, Hui Zhao & Xiao-Heng Chang. (2016) Two novel approaches of UIF design for T-S fuzzy system. Neurocomputing 186, pages 195-199.
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Michael Defoort, Kalyana C. Veluvolu, Jagat J. Rath & Mohamed Djemai. (2016) Adaptive sensor and actuator fault estimation for a class of uncertain Lipschitz nonlinear systems. International Journal of Adaptive Control and Signal Processing 30:2, pages 271-283.
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Mariusz Buciakowski, Marcin Witczak & Józef Korbicz. 2016. Advanced and Intelligent Computations in Diagnosis and Control. Advanced and Intelligent Computations in Diagnosis and Control 179 191 .
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Dalil Ichalal & Said Mammar. (2015) On Unknown Input Observers for LPV Systems. IEEE Transactions on Industrial Electronics 62:9, pages 5870-5880.
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Michal de Rozprza-Faygel, Mariusz Buciakowski & Marcin Witczak. (2015) Robust fault and state estimation for Lipshitz systems: Three-tank system application. Robust fault and state estimation for Lipshitz systems: Three-tank system application.
Reza Shahnazi, Qing Zhao, Adel Haghani Abandan Sari & Torsten Jeinsch. (2015) Dynamic nonlinear unknown input observer for fault detection of induction motors. Dynamic nonlinear unknown input observer for fault detection of induction motors.
Rixin Wang, Yao Cheng & Minqiang Xu. (2015) Analytical redundancy based fault diagnosis scheme for satellite attitude control systems. Journal of the Franklin Institute 352:5, pages 1906-1931.
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Abid Aicha, Benhamed Mouna & Sbita Lassaad. (2015) A DFIM Sensor Faults Multi-Model Diagnosis Approach Based on an Adaptive PI Multiobserver—Experimental Validation. International Journal of Modern Nonlinear Theory and Application 04:02, pages 161-178.
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Jeang-Lin Chang & Tsui-Chou Wu. (2015) Output Feedback Variable Structure Control Design for Uncertain Nonlinear Lipschitz Systems. Journal of Control Science and Engineering 2015, pages 1-6.
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Yao Cheng, Rixin Wang & Minqiang Xu. (2015) A Combined Model-based and Intelligent Method for Small Fault Detection and Isolation of Actuators. IEEE Transactions on Industrial Electronics, pages 1-1.
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Daoliang Tan, Ron J. Patton & Xi Wang. (2015) A Relaxed Solution to Unknown Input Observers for State and Fault Estimation. IFAC-PapersOnLine 48:21, pages 1048-1053.
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Wei Zhang, Housheng Su, Fanglai Zhu & Ghassan M. Azar. (2014) Unknown input observer design for one-sided Lipschitz nonlinear systems. Nonlinear Dynamics 79:2, pages 1469-1479.
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L. Hassan, A. Zemouche & M. Boutayeb. (2014) Delay-dependent robust unknown input observer for nonlinear time-delay systems. Delay-dependent robust unknown input observer for nonlinear time-delay systems.
Wei Zhang, Housheng Su, Shengchao Su & Dazhong Wang. (2014) Nonlinear observer design for one-sided Lipschitz systems . Neurocomputing 145, pages 505-511.
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Behnam Allahverdi Charandabi & Horacio J. Marquez. (2014) A novel approach to unknown input filter design for discrete-time linear systems. Automatica 50:11, pages 2835-2839.
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Marcin Witczak, Mariusz Buciakowski & Marcin Mrugalski. (2014) An H<inf>&#x221E;</inf> approach to fault estimation of non-linear systems: Application to one-link manipulator. An H<inf>&#x221E;</inf> approach to fault estimation of non-linear systems: Application to one-link manipulator.
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Marcin Mrugalski & Marcin Witczak. (2013) Robust unknown input filter for fault diagnosis of non-linear systems. Robust unknown input filter for fault diagnosis of non-linear systems.
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Habib Dimassi, Antonio Loria & Safya Belghith. (2012) Continuously-implemented sliding-mode adaptive unknown-input observers under noisy measurements. Systems & Control Letters 61:12, pages 1194-1202.
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Rafal Jozefowicz, Marcin Witczak & Vicenc Puig. (2012) Determination of an unknown input distribution matrix for non-linear discrete-time stochastic systems. Determination of an unknown input distribution matrix for non-linear discrete-time stochastic systems.
Rafał Józefowicz, Marcin Witczak & Łukasz Dziekan. (2012) Towards unknown input filters for non-linear stochastic systems without a fault decoupling effect. IFAC Proceedings Volumes 45:20, pages 612-617.
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Jae-Hyun Jin & Ki-Ryeok Yong. (2011) Fault Detection of a Spacecraft's Reaction Wheels by Extended Unknown Input Observer. Journal of Institute of Control, Robotics and Systems 17:11, pages 1138-1144.
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Hamid Reza Karimi. (2011) Adaptive H ∞ synchronization of master-slave systems with mixed time-varying delays and nonlinear perturbations: An LMI approach. International Journal of Automation and Computing 8:4, pages 381-390.
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Edmundo Rocha‐Cózatl & Jaime A. Moreno. (2010) Dissipative design of unknown input observers for systems with sector nonlinearities. International Journal of Robust and Nonlinear Control 21:14, pages 1623-1644.
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Zs. Lendek, J. Lauber, T.M. Guerra, R. Babuška & B. De Schutter. (2010) Adaptive observers for TS fuzzy systems with unknown polynomial inputs. Fuzzy Sets and Systems 161:15, pages 2043-2065.
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Mohamed Benallouch, Mohamed Boutayeb, Rachid Outbib & Edouard Laroche. (2009) Unknown input estimation using reduced-order observers for a class of nonlinear systems. Unknown input estimation using reduced-order observers for a class of nonlinear systems.
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Giovanna Castillo Estrada, Harald Kirchsteiger, Luigi del Re & Eric Renard. (2009) Model based validation of meal inputs in diabetes therapy. IFAC Proceedings Volumes 42:10, pages 239-244.
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S. Mondal, G. Chakraborty & K. Bhattacharyya. (2008) Robust Unknown Input Observer for Nonlinear Systems and Its Application to Fault Detection and Isolation. Journal of Dynamic Systems, Measurement, and Control 130:4.
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Ali Zemouche & Mohamed Boutayeb. (2008) Unknown Input Observer Synthesis Method with Modified H∞ Criteria for Nonlinear Systems Using Sobolev Norms. IFAC Proceedings Volumes 41:2, pages 8588-8593.
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Ali Zemouche, Mohamed Boutayeb & G. Iulia Bara. (2008) Observers for a class of Lipschitz systems with extension to performance analysis. Systems & Control Letters 57:1, pages 18-27.
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A. M. Pertew, H. J. Marquez & Q. Zhao. (2006) LMI-based Lipschitz Observer Design with Application in Fault Diagnosis. LMI-based Lipschitz Observer Design with Application in Fault Diagnosis.
A.M. Pertew, H.J. Marquez & Q. Zhao. (2006) <tex>$H_infty$</tex>Observer Design for Lipschitz Nonlinear Systems. IEEE Transactions on Automatic Control 51:7, pages 1211-1216.
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