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International Journal of Control Volume 49, 1989 - Issue 6
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Original Articles

Observers for descriptor systems

M. M. Fahmy Department of Electrical Engineering, Faculty of Engineering, Tanta University, Tanta, Egypt; on leave at the Industrial Control Unit, Department of Electronics and Electrical Engineering, University of Strathclyde, Glasgow, G1 1QE, U.K
&
J. O'Reilly Industrial Control Unit, Department of Electronic and Electrical Engineering, University of Strathclyde, Glasgow, G1 1QE, U.K
Pages 2013-2028 | Received 30 Jun 1988, Published online: 01 Apr 2008

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Yinfeng Dou & Chenjian Ran. (2019) WMF self-tuning Kalman estimators for multisensor singular system. International Journal of Systems Science 50:10, pages 1873-1888.
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Joseph Chang Lun Chan, Chee Pin Tan & Hieu Trinh. (2017) Robust fault reconstruction for a class of infinitely unobservable descriptor systems. International Journal of Systems Science 48:8, pages 1646-1655.
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Yinfeng Dou, Chenjian Ran & Yuan Gao. (2016) Weighted measurement fusion Kalman estimator for multisensor descriptor system. International Journal of Systems Science 47:11, pages 2722-2732.
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Fucheng Liao, Masayoshi Tomizuka, Mengjuan Cao & Di Wang. (2013) Optimal preview control for discrete-time descriptor causal systems in a multirate setting. International Journal of Control 86:5, pages 844-854.
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Jianxin Feng & Ming Zeng. (2011) Descriptor recursive estimation for multiple sensors with different delay rates. International Journal of Control 84:3, pages 584-596.
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BESMA GADDOUNA, STÉPHANE GIULIANI & JOSÉ RAGOT. (1996) Design of observers for descriptor systems affected by unknown inputs. International Journal of Systems Science 27:5, pages 465-471.
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AMIT AILON. (1994) A reduced-order causal observer-based controller for singular systems. International Journal of Systems Science 25:1, pages 1-17.
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A. AILON. (1993) On the reduced-order causal observer for generalized control systems. International Journal of Control 57:6, pages 1311-1323.
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M. DAROUACH, M. ZASADZINSKI & D. MEHDI. (1993) State estimation of stochastic singular linear systems. International Journal of Systems Science 24:2, pages 345-354.
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D. N. SHIELDS. (1992) Observers for descriptor systems. International Journal of Control 55:1, pages 249-256.
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Articles from other publishers (63)

Chen Wang, Jun Hu, Zhibin Hu, Junhua Du & Hongjian Liu. (2024) Multi-sensor information fusion filtering for delayed nonlinear stochastic singular systems with packet disorders. Journal of the Franklin Institute 361:5, pages 106672.
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Jun Hu, Chen Wang, Raquel Caballero-Águila & Hongjian Liu. (2023) Distributed optimal fusion filtering for singular systems with random transmission delays and packet dropout compensations. Communications in Nonlinear Science and Numerical Simulation 119, pages 107093.
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Joseph Chang Lun Chan & Tae H. Lee. (2022) Observer-based fault-tolerant control for non-infinitely observable descriptor systems with unknown time-varying state and input delays. Applied Mathematics and Computation 430, pages 127230.
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Chen Wang, Jun Hu, Hui Yu & Dongyan Chen. (2022) Optimized distributed fusion filtering for singular systems with fading measurements and stochastic nonlinearity. AIMS Mathematics 7:2, pages 2543-2567.
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Juhi Jaiswal, Mahendra Kumar Gupta & Nutan Kumar Tomar. (2021) Necessary and sufficient conditions for ODE observer design of descriptor systems. Systems & Control Letters 151, pages 104916.
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Joseph Chang Lun Chan, Tae H. Lee, Chee Pin Tan, Hieu Trinh & Ju H. Park. (2021) A Nonlinear Observer for Robust Fault Reconstruction in One-Sided Lipschitz and Quadratically Inner-Bounded Nonlinear Descriptor Systems. IEEE Access 9, pages 22455-22469.
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Joseph Chang Lun Chan, Tae H. Lee & Chee Pin Tan. 2021. Recent Advances in Control Problems of Dynamical Systems and Networks. Recent Advances in Control Problems of Dynamical Systems and Networks 123 145 .
Chengxiang Liu, Yinfeng Dou & Chenjian Ran. (2020) Optimal time-varying Kalman filter and predictor for the descriptor system with multiplicative noise and colored noises. Optimal time-varying Kalman filter and predictor for the descriptor system with multiplicative noise and colored noises.
Joseph Chang Lun Chan, Tae H. Lee & Chee Pin Tan. (2020) A sliding mode observer for robust fault reconstruction in a class of nonlinear non-infinitely observable descriptor systems. Nonlinear Dynamics 101:2, pages 1023-1036.
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Thomas Berger & Timo Reis. (2019) ODE observers for DAE systems. IMA Journal of Mathematical Control and Information 36:4, pages 1375-1393.
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Mahrukh & Muwahida Liaqat. (2019) Unknown Exogenous Input Estimation For Infinitely Observable Complex Biological Descriptor Systems. Unknown Exogenous Input Estimation For Infinitely Observable Complex Biological Descriptor Systems.
J. C. L. Chan, C. P. Tan, J. H. T. Ooi & H. Trinh. (2019) New results in robust fault reconstruction for a class of non-infinitely observable descriptor systems. New results in robust fault reconstruction for a class of non-infinitely observable descriptor systems.
Joseph Chang Lun Chan, Chee Pin Tan, Hieu Trinh, Md Abdus Samad Kamal & Yeong Shiong Chiew. (2019) Robust fault reconstruction for a class of non-infinitely observable descriptor systems using two sliding mode observers in cascade. Applied Mathematics and Computation 350, pages 78-92.
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Joseph Chang Lun Chan, Chee Pin Tan, Hieu Trinh & Md Abdus Samad Kamal. (2019) State and fault estimation for a class of non-infinitely observable descriptor systems using two sliding mode observers in cascade. Journal of the Franklin Institute 356:5, pages 3010-3029.
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Liheng Chen, Yuxin Zhao, Shasha Fu, Ming Liu & Jianbin Qiu. (2019) Fault Estimation Observer Design for Descriptor Switched Systems With Actuator and Sensor Failures. IEEE Transactions on Circuits and Systems I: Regular Papers 66:2, pages 810-819.
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Mahrukh & Muwahida Liaqat. (2018) Fault reconstruction using sliding mode observer for LTI systems: A survey. Fault reconstruction using sliding mode observer for LTI systems: A survey.
Chenjian Ran, Shuli Sun & Yinfeng Dou. (2018) WMF reduced‐order robust estimators for multisensor descriptor systems. IET Control Theory & Applications 12:16, pages 2232-2244.
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Yinfeng Dou, Chenjian Ran, Yuan Gao, Yun Li & Gang Hao. (2018) Self-tuning WMF Kalman predictors for the multisensor descriptor systems and their convergence analysis. Self-tuning WMF Kalman predictors for the multisensor descriptor systems and their convergence analysis.
Chengxiang Liu & Chenjian Ran. (2018) Self-tuning reduced-order Kalman smoother for the descriptor system. Self-tuning reduced-order Kalman smoother for the descriptor system.
Jeremy H.T. Ooi, Chee Pin Tan, Wen-Shyan Chua & Xianghua Wang. (2017) State and unknown input estimation for a class of infinitely unobservable descriptor systems using two observers in cascade. Journal of the Franklin Institute 354:18, pages 8374-8397.
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Chenjian Ran, Yinfeng Dou & Yuan Gao. (2017) WMF full-order Kalman smoother for multisensor descriptor systems with correlated noises. WMF full-order Kalman smoother for multisensor descriptor systems with correlated noises.
Chenjian Ran & Yinfeng Dou. (2017) Covariance intersection fusion reduced-order Kalman estimator for multisensor descriptor systems. Covariance intersection fusion reduced-order Kalman estimator for multisensor descriptor systems.
Jeremy Hor Teong Ooi, Chee Pin Tan, Surya Girinatha Nurzaman & Kok Yew Ng. (2017) A Sliding Mode Observer for Infinitely Unobservable Descriptor Systems. IEEE Transactions on Automatic Control 62:7, pages 3580-3587.
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Yinfeng Dou, Shuli Sun & Chenjian Ran. (2017) Self‐tuning full‐order WMF Kalman filter for multisensor descriptor systems. IET Control Theory & Applications 11:3, pages 359-368.
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Aneel Tanwani & Stephan Trenn. (2017) Determinability and state estimation for switched differential–algebraic equations. Automatica 76, pages 17-31.
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Thomas Berger & Timo Reis. (2017) Observers and Dynamic Controllers for Linear Differential-Algebraic Systems. SIAM Journal on Control and Optimization 55:6, pages 3564-3591.
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Chenjian Ran, Yinfeng Dou & Yuan Gao. (2016) Self-tuning full-order Kalman filter for descriptor system. Self-tuning full-order Kalman filter for descriptor system.
Chenjian Ran & Yinfeng Dou. (2015) Covariance intersection fusion Kalman predictor for two-sensor descriptor system. Covariance intersection fusion Kalman predictor for two-sensor descriptor system.
Jeremy Hor Teong Ooi, Chee Pin Tan & Kok Yew Ng. (2014) State and Fault Estimation For Infinitely Unobservable Descriptor Systems Using Sliding Mode Observers. Asian Journal of Control 17:4, pages 1458-1461.
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Chenjian Ran, Yinfeng Dou & Yuan Gao. (2015) WMF information filter for multisensor descriptor system with same measurement matrix and correlated noises. WMF information filter for multisensor descriptor system with same measurement matrix and correlated noises.
Karen S. Bobinyec & Stephen L. Campbell. 2015. Surveys in Differential-Algebraic Equations II. Surveys in Differential-Algebraic Equations II 1 67 .
Chenjian Ran, Yinfeng Dou, Yuan Gao, Peng Zhang, Jinfang Liu, Chunpeng Ai & Gang Hao. (2014) WMF Kalman predictor for the multisensor descriptor system with correlated noises. WMF Kalman predictor for the multisensor descriptor system with correlated noises.
O. Yu. Torgashova & O. E. Shvorneva. (2014) Designing reduced-dimension controller of differential-algebraic system by criterion of H2-optimization. Automation and Remote Control 75:2, pages 302-319.
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Jianxin Feng, Tingfeng Wang & Jin Guo. (2014) Recursive estimation for descriptor systems with multiple packet dropouts and correlated noises. Aerospace Science and Technology 32:1, pages 200-211.
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Daniel Labisch & Ulrich Konigorski. 2014. Progress in Differential-Algebraic Equations. Progress in Differential-Algebraic Equations 47 70 .
Aneel Tanwani & Stephan Trenn. (2013) An observer for switched differential-algebraic equations based on geometric characterization of observability. An observer for switched differential-algebraic equations based on geometric characterization of observability.
Yin Feng Dou, Wen Juan Qi & Chen Jian Ran. (2013) Weighted Measurement Fusion Kalman Filter for Multisensor Descriptor System. Applied Mechanics and Materials 373-375, pages 940-945.
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Chunyu Yang, Qingling Zhang & Tianyou Chai. (2012) Nonlinear observers for a class of nonlinear descriptor systems. Optimal Control Applications and Methods 34:3, pages 348-363.
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Maximilian Manderla & Ulrich Konigorski. (2013) Design of causal state observers for regular descriptor systems. European Journal of Control 19:2, pages 104-112.
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Karen Bobinyec, Stephen L. Campbell & Peter Kunkel. (2012) Constructing observers for linear time varying DAEs. Constructing observers for linear time varying DAEs.
Karen Bobinyec, Stephen L. Campbell & Peter Kunkel. (2011) Full order observers for linear DAEs. Full order observers for linear DAEs.
Karen Bobinyec, Stephen L. Campbell & Peter Kunkel. (2011) Maximally reduced observers for linear time varying DAEs. Maximally reduced observers for linear time varying DAEs.
João B. Carvalho & Biswa N. Datta. (2011) A new algorithm for generalized Sylvester-observer equation and its application to state and velocity estimations in vibrating systems. Numerical Linear Algebra with Applications 18:4, pages 719-732.
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Maximilian Manderla & Ulrich Konigorski. (2011) Parametrischer Entwurf dynamischer Ausgangsrückführungen für reguläre Deskriptorsysteme. at - Automatisierungstechnik 59:2, pages 94-103.
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Lin-Na Zhou, Chun-Yu Yang & Qing-Ling Zhang. (2010) Observers for descriptor systems with slope-restricted nonlinearities. International Journal of Automation and Computing 7:4, pages 472-478.
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Chunyu Yang, Qingling Zhang & Tianyou Chai. (2009) Observer design for a class of nonlinear descriptor systems. Observer design for a class of nonlinear descriptor systems.
Zhuohuan Hu, Zhengzhi Han & Zuohua Tian. (2009) Fault detection and diagnosis for singular stochastic systems via B-spline expansions. ISA Transactions 48:4, pages 519-524.
Crossref
Zhuohuan Hu, Zhengzhi Han & Zuohua Tian. (2008) Fault Detection of Singular Stochastic Systems via Observers. Fault Detection of Singular Stochastic Systems via Observers.
Yuan Gao, Gui-Li Tao & Zi-Li Deng. (2008) Decoupled distributed Kalman fuser for descriptor systems. Signal Processing 88:5, pages 1261-1270.
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Shuli Sun, Jing Ma & Wendong Xiao. (2006) Optimal Fusion Reduced-Order Kalman Filters Weighted by Scalars for Stochastic Singular Systems. Optimal Fusion Reduced-Order Kalman Filters Weighted by Scalars for Stochastic Singular Systems.
Fei Hao. (2006) Full-order Observer Design for Descriptor Systems with Delayed State and Unknown Inputs. Full-order Observer Design for Descriptor Systems with Delayed State and Unknown Inputs.
Dongmei Yang, Chengman Sha & Qingling Zhang. (2006) H<inf>2</inf>Analysis and Parameterized H<inf>2</inf>Observer Design for Descriptor Systems. H<inf>2</inf>Analysis and Parameterized H<inf>2</inf>Observer Design for Descriptor Systems.
Tae-Kyeong Yeu, Hwan-Seong Kim & Shigeyasu Kawaji. (2008) FAULT DETECTION, ISOLATION AND RECONSTRUCTION FOR DESCRIPTOR SYSTEMS. Asian Journal of Control 7:4, pages 356-367.
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J.B. Carvalho & B.N. Datta. (2002) An algorithm for generalized Sylvester-observer equation in state estimation of descriptor systems. An algorithm for generalized Sylvester-observer equation in state estimation of descriptor systems.
T.K. Yeu & S. Kawaji. (2002) Sliding mode observer based fault detection and isolation in descriptor systems. Sliding mode observer based fault detection and isolation in descriptor systems.
S. Ploix, S. Giuliani & J. Ragot. (1999) A unifying approach of LTI discrete-time state observers by means of complementary matrices. IEEE Transactions on Automatic Control 44:2, pages 422-426.
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M. Hou & P.C. Muller. (1999) Observer design for descriptor systems. IEEE Transactions on Automatic Control 44:1, pages 164-169.
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M. Darouach, M. Zasadzinski & M. Hayar. (1996) Reduced-order observer design for descriptor systems with unknown inputs. IEEE Transactions on Automatic Control 41:7, pages 1068-1072.
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M. Darouach & M. Boutayeb. (1995) Design of observers for descriptor systems. IEEE Transactions on Automatic Control 40:7, pages 1323-1327.
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P.C. Muller & M. Hou. (1993) On the observer design for descriptor systems. IEEE Transactions on Automatic Control 38:11, pages 1666-1671.
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P.N. Paraskevopoulos, F.N. Koumboulis, K.G. Tzierakis & G.E. Panagiotakis. (1992) Observer design for generalized state space systems with unknown inputs. Systems & Control Letters 18:4, pages 309-321.
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P.N. Paraskevopoulos & F.N. Koumboulis. (1992) Observers for singular systems. IEEE Transactions on Automatic Control 37:8, pages 1211-1215.
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P.C. Muller & M. Hou. (1991) On the observer design for descriptor systems. On the observer design for descriptor systems.

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