State Estimation and Simultaneous Unknown Input and Measurement Noise Reconstruction based on Adaptive H∞ Observer

다국어 초록 (Multilingual Abstract)

In this paper, we consider problems of state estimation, unknown input, and measurement noise reconstructionfor a class of Lipschitz nonlinear systems. By extending the measurement noise as an auxiliary statevector, the original system is transformed into an augmented descriptor system. Then an adaptive H∞ observeris developed for estimating the states, unknown input and measurement noise simultaneously. Further, sufficientconditions of the existence of the adaptive H∞ observer are given in the form of linear matrix inequality, which canbe solved easily via some efficient mathematic tools. Finally, two simulation examples are given to illustrate theeffectiveness of the proposed method.

참고문헌 (Reference)

1 D. Koenig, "Unknown input proportional multiple-integral observer design for linear descriptor systems : Application to state and fault estimation" 50 (50): 212-217, 2005

2 Shenghui Guo, "Unknown Input Observer Design for Takagi-Sugeno Fuzzy Stochastic System" 제어·로봇·시스템학회 13 (13): 1003-1009, 2015

3 D. Ichalal, "State estimation of Takagi–Sugeno systems with unmeasurable premise variables" 4 (4): 897-908, 2010

4 F. L. Zhu, "State estimation and unknown input reconstruction via both reduced-order and high-order sliding mode observers" 22 (22): 296-302, 2012

5 J. Q. Yang, "State estimation and simultaneous unknown input and measurement noise reconstruction based on associated observers" 27 (27): 846-858, 2013

6 K. Kalsi, "Slidingmode observers for systems with unknown inputs : a highgain approach" 46 (46): 347-353, 2010

7 J. Yang, "Sliding-mode control for systems with mismatched uncertainties via a disturbance observer" 60 (60): 160-169, 2013

8 Qingxian Jia, "Robust Observer-based Sensor Fault Reconstruction for Discrete-time Systems via a Descriptor System Approach" 제어·로봇·시스템학회 13 (13): 274-283, 2015

9 Slim Dhahri, "Robust H∞ Sliding Mode Observer Design for Fault Estimation in a Class of Uncertain Nonlinear Systems with LMI Optimization Approach" 제어·로봇·시스템학회 10 (10): 1032-1041, 2012

10 J. Zhang, "Robust H¥adaptive descriptor observer design for fault estimation of uncertain nonlinear systems" 35 (35): 5162-5181, 2014

11 D. Lee, "Robust H¥ sliding mode descriptor observer for fault and output disturbance estimation of uncertain systems" 57 (57): 2928-2934, 2012

12 H. P. Li, "Robust H¥ filtering for nonlinear stochastic systems with uncertainties and Markov delays" 48 (48): 159-166, 2012

13 Ai-Guo Wu, "Robust H-infinity Estimation for Linear Time-Delay Systems: An Improved LMI Approach" 제어·로봇·시스템학회 7 (7): 668-673, 2009

14 Lu Wang, "Regular Unknown Input Functional Observers for 2-D Singular Systems" 제어·로봇·시스템학회 11 (11): 911-918, 2013

15 Huan-Chan Ting, "Proportional-Derivative Unknown Input Observer Design Using Descriptor System Approach for Non-Minimum Phase Systems" 제어·로봇·시스템학회 9 (9): 850-856, 2011

16 C. Olalla, "Optimal state-feedback control of bilinear DC–DC converters with guaranteed regions of stability" 59 (59): 3868-3880, 2012

17 R. Rajamani, "Observers for Lipschitz nonlinear systems" 43 (43): 397-401, 1998

18 F. L. Zhu, "Observer-based synchronization of uncertain chaotic system and its application to secure communications" 40 (40): 2384-2391, 2009

19 F. J. Bejarano, "Observability and detectability of singular linear systems with unknown inputs" 49 (49): 793-800, 2013

20 X. G. Yan, "Nonlinear robust fault reconstruction and estimation using a sliding mode observer" 43 (43): 1605-1614, 2007

21 F. Zhu, "Nonlinear reduced-order observers based on the solution of Riccati equation" 17 (17): 427-430, 2002

22 Sharifuddin Mondal, "LMI Approach to Robust Unknown Input Observer Design for Continuous Systems with Noise and Uncertainties" 제어·로봇·시스템학회 8 (8): 210-219, 2010

23 Yugang Niu, "H∞ Control for Networked Systems with Data Packet Dropout" 제어·로봇·시스템학회 8 (8): 198-203, 2010

24 M. Darouach, "H¥observer design for a class of nonlinear singular systems" 47 (47): 2517-2525, 2011

25 S. Y. Xu, "H¥filtering for singular system" 48 (48): 2217-2222, 2003

26 R. Raoufi, "H¥ sliding mode observers for uncertain nonlinear Lipschitz systems with fault estimation synthesis" 20 (20): 1785-1801, 2010

27 M. Zerrougui, "H¥ observers design for singular bilinear systems" 6864-6869, 2010

28 S. Sayyaddelshad, "H¥ observer design for uncertain nonlinear discrete-time systems with timedelay : LMI optimization approach" 25 (25): 1514-1527, 2014

29 S. Wen, "H¥ filtering for neutral systems with mixed delays and multiplicative noises" 59 (59): 820-824, 2012

30 G. L. Osorio-Gordillo, "H¥ dynamical observer design for linear descriptor systems" 4829-4833, 2014

31 F. L Zhu, "Full-order observer-based actuator fault detection and reduced-order observer-based fault reconstruction for a class of uncertain nonlinear systems" 20 (20): 1141-1149, 2010

32 H. Hamdi, "Fault detection and isolation in linear parameter-varying descriptor systems via proportional integral observer" 26 (26): 224-240, 2011

33 S. Wen, "Exponential adaptive lag synchronization of memristive neural networks via fuzzy method and applications in pseudorandom number generators" 22 (22): 1704-1713, 2014

34 R. Rajamani, "Existence and design of observers for nonlinear systems : relation to distance to unobservability" 69 (69): 717-731, 1998

35 S. Wen, "Event-triggering load frequency control for multi-area power systems with communication delays" 63 (63): 1308-1317, 2016

36 H. Dimassi, "Continuouslyimplemented sliding mode adaptive unknown input observers under noisy measurements" 61 (61): 1194-1202, 2012

37 A. Zemouche, "A unified H¥ adaptive observer synthesis method for a class of systems with both Lipschitz and monotone nonlinearities" 58 (58): 282-288, 2009

38 F. Zhu, "A note on observers for Lipschitz nonlinear systems" 47 (47): 1751-1754, 2002

39 M. Abbaszadeh, "A generalized framework for robust nonlinear H¥ filtering of Lipschitz descriptor systems with parametric and nonlinear uncertainties" 48 (48): 894-900, 2012