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Warianty tytułu
Języki publikacji
Abstrakty
A kind of generalized proportional-integral (GPI) observer for descriptor linear systems is introduced. We first propose two complete parametric solutions to generalized Sylvester matrix equation corresponding to the left eigenvector matrices in the case of Jordan form. Then a parametric design approach for the observer is presented. The proposed method provides all parametric expression of the gain matrices and the corresponding finite left eigenvector matrix and guarantees the regularity and impulse-freeness of the expanded error system. Two numerical examples are given to explain the design procedure and illustrate the effectiveness of the proposed method.
Czasopismo
Rocznik
Tom
Strony
585--601
Opis fizyczny
Bibliogr. 22 poz., wykr., wzory
Twórcy
autor
- Department of Automation, Heilongjiang University, Po. Box 130, 150080, Harbin, China
autor
- Department of Automation, Heilongjiang University, Po. Box 130, 150080, Harbin, China
- Key Laboratory of Information Fusion Estimation and Detection, Heilongjiang Province
Bibliografia
- [1] B. Wojciechowski: Analysis and synthesis of proportional-integral observers for single-input-single output time-invariant continuous systems. Ph. D. dissertation, Gliwice, Poland. 1978.
- [2] B. Shafai, C. T. Pi and S. Nork: Simultaneous disturbance attenuation and fault detection using proportional integral observers. Proceedings of American Control Conference, Anchorage, (2002), 1647–1649.
- [3] K. B. Krishna and K. Pousga: On the design of integral and proportional integral observers. Proceedings of American Control Conference, Chicago, IL, (2000), 3725–3729.
- [4] G. R. Duan, G. P. Liu and S. Thompson: Eigenstructure assignment design for proportional-integral observers: the continuous-time case. IEE Proceedings – Control Theory and Applications, 148(3), (2001), 263-267.
- [5] M. Manderla and U. Konigorski: Design of causal state observers for regular descriptor systems. European Journal of Control, 19 (2013), 104-112.
- [6] T. Boukhobza and F. Hamelin: Observability analysis and sensor location study for structured linear systems in descriptor form with unknown inputs. Automatica, 47(12), (2011), 2678-2683.
- [7] G. Zheng, B. Driss and H. P. Wang: A nonlinear Luenberger-like observer for nonlinear singular systems. Automatica, 86 (2017), 11-17.
- [8] L. H. Chen, Y. X. Zhao, S. S. Fu, M. Liu and J.B. Qiu: Fault estimation observer design for descriptor switched systems with actuator and sensor failures. IEEE Transactions on Circuits and Systems, 66(2), (2019), 810-819.
- [9] J. Zhang, A. K. Swain and S. K. Nguang: Robust sliding mode observer based fault estimation for certain class of uncertain nonlinear systems. Asian Journal of Control, 17(4), (2015), 1296-1309.
- [10] H. K. Alaei and A. Yazdizadeh: Robust output disturbance, actuator and sensor faults reconstruction using ha sliding mode descriptor observer for uncertain nonlinear boiler system. International Journal ofControl Automation and Systems, 26(3), (2018), 1271-1281.
- [11] M. Saliha, C. Mohammed and B. Djillali: A novel approach of admissibility for singular linear continuous-time fractional-order systems. International Journal of Control Automation and Systems, 15(2), (2017), 959-964.
- [12] Y. Wang, V. Puig and G. Cembrano: Set-membership approach and Kalman observer based on zonotopes for discrete-time descriptor systems. IEEE Transactions on Automatic Control, 93 (2018), 435-443.
- [13] A. G. Wu and G. R. Duan: Design of observers for continuous-time descriptor linear systems. IEEE Transactions Cybernetics, 36(6), (2006), 1423-1431.
- [14] A. G. Wu, G. R. Duan, J. Dong and Y. M. Fu :Design of proportional-integral observers for discrete-time descriptor linear systems. IET Control Theory and Applications, 3(1), (2009), 79-87.
- [15] D. Koening and S. Mammar: Design of proportional-integral observer for unknown input descriptor systems. IEEE Transactions on Automatic Control, 47(12), (2002), 2057-2062.
- [16] H. S. Kim, T. K. Yeu and S. Kawaji: Fault detection in linear descriptor systems via unknown input PI observer. Transactions on Control, Automation and Systems Engineering, 3(2), (2001), 77-82.
- [17] H. S. Kim, S. B. Kim and S. Kawaji: Design of PI observer for descriptor linear systems. Transactions on Control, Automation and Systems Engineering, 3(4), (1997), 332-337.
- [18] Z. Gao and D. W. C. Ho: Proportional multiple-integral observer design for descriptor linear systems with measurement output disturances. IEE Proceedings – Control Theory and Applications, 151(3), (2004), 279-288.
- [19] D. Koening: Unknown input proportional multiple-integral observer design for linear descriptor systems: Application to state and fault estimation. IEEE Transactions on Automatic Control, 50(2), (2005), 212-217.
- [20] G. R. Duan: Solution to matrix equation and eigenstructure assignment for descriptor systems. Automatica, 28(3), (1992), 639-643.
- [21] G. R. Duan: Parametric approach for eigenstrcuture assignment in descriptor systems via output feedback. IEE Proceedings – Control Theory and Applications, 142(6), (1995), 36-41.
- [22] G. R. Duan: On the solution to Sylvester matrix equation. IEEE Transactions on Automatic Control, 41(2), (1996), 2490-2494.
Uwagi
EN
1. This work is partially supported by Science and Technology Innovative Research Team in Higher Educational Institutions of Heilongjiang Province (No. 2012TD007).
PL
2. Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
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