Browse > Article

Design of a Fuzzy Model Based Reduced Order Unknown Input Observer for a Class of Nonlinear Systems  

Lee, Kee-Sang (단국대학교 전자전기공학부)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.57, no.7, 2008 , pp. 1247-1253 More about this Journal
Abstract
A design method of a T-S fuzzy model based reduced order nonlinear unknown input observer(NUIO) is presented. The fuzzy NUIO is designed based on the parallel distributed compensation(PDC) concept. It consists of a number of the linear UIOs, each of which is designed for each local linear model in the T-S fuzzy model of a class of nonlinear systems. The fuzzy NUIO provides not only the state estimates insensitive to the unknown inputs, for example, disturbances and faults etc., but also the estimates of the unknown inputs. Therefore, It can be employed in the state feedback control and disturbance rejection control of a class of nonlinear systems with unknown disturbances. It also applied to the robust residual generation for the fault detection and isolation systems and to the design of fault tolerant control systems. As an example, the NUIO is applied to an inverted pendulum system to show the state and disturbance estimation performance and to illustrate the fuzzy reduced order NUIO design method.
Keywords
Unknown Input Observer; Fuzzy T-S Model; Fault Detection and Isolation; Disturbance Estimation;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By SCOPUS : 1
연도 인용수 순위
1 B. K. Kim and W. K. Chung, 'Advanced disturbance observer design for mechanical positioning systems,' IEEE trans. on Industrial Electronics, Vol.50, No.6, pp.1207-1216, Dec, 2003   DOI   ScienceOn
2 W. Chen and M. Saif, 'Unknown input observer design for a class of nonlinear systems: and LMI approach,' Proceedings of the 2006 ACC, Minneapolis, Minnesota, USA, pp.834-838, June 14-16, 2006
3 D. Koenig and S. Mammar, 'Design of a class of reduced order unknown input nonlinear observer for fault diagnosis,' Proc. of ACC, Arlington, VA, pp.2143-2147, June25-27, 2001
4 이기상, '퍼지모델을 이용한 비선형시스템의 센서고장 검출식별,' 전기학회논문지, 제56권 2호, pp.407-414, 2007   과학기술학회마을
5 T.G. Park, J.S. Ryu and K.S. Lee,'Actuator fault estimation with disturbance decoupling,' IEE proceedings, Control Theory and Applications, Vol.147, No.5, pp.501-508, September 2000   DOI   ScienceOn
6 John O'Reilly,'Minimal order observers for linear multivariable systems with unmeasurable disturbances,' International Journal of Control, Vol.28, No.5, pp.743-751, 1978   DOI   ScienceOn
7 P. Kabore and H. Wang, 'Design of fault diagnosis filters and fault tolerant control for a class of nonlinear systems,' IEEE trans. on Automatic Control, Vol.46, No.11,pp.1805-1810, Nov, 2001   DOI   ScienceOn
8 J.E. Kurek. The state vector reconstruction for linear systems with unknown inputs. IEEE Trans. on Automatic Control, 28 (12), p. 1120-1122, 1983   DOI
9 M. Hou and P. C. Muller, 'Design of Observers for Linear Systems with Unknown Inputs,' IEEE Trans. on Automatic Control, Vol. 37, No. 6, pp. 871-875, June 1992   DOI   ScienceOn
10 H. Yang, B. Jiang and M. Staroswiecki, 'Observerbased fault tolerant control for a class of switched nonlinear systems,' IET Control theory applications, Vol.1, No.5, pp1523-1532, Sept, 2007   DOI   ScienceOn
11 Xiao-Jun Ma, Zeng-Qi Sun, and Yan-Yan He, 'Analysis and design of fuzzy controller and fuzzy observer,' IEEE Trans. on Fuzzy Systems, Vol.6, No.1, pp.41-51, 1998   DOI   ScienceOn
12 S. Hui and S.H.Zak, 'Low-order state estimators and compensators for dynamical systems with unknown inputs,' System & control letters, Vol.21, No.6, pp.493-502, 1993   DOI   ScienceOn
13 W. Ge and C. Z. Fang, 'Extended robust observation approach for failure isolation,' International Journal of Control, Vol. 49, pp. 1537-1553, 1989   DOI
14 P. M. Frank and J. Wünnenberg, 'Robust fault diagnosis using unknown input observer schemes,' In: Fault Diagnosis in Dynamical Systems: Theory and Applications (R.J. Patton, P.M. Frank and R.N. Clark, (1st Ed.)), pp. 47-98. Prentice Hall, New York, 1989
15 Y. Guan and M. Saif, 'A novel approach to the design of unknown input observer,' IEEE Trans. on Automatic Control, Vol.36, pp.632-635, 1991   DOI   ScienceOn
16 M.C.M. Teixeira & S.H. Zak, 'Stabilizing controller design for uncertain nonlinear systems using fuzzy models', IEEE Trans. Fuzzy Systems, Vol.7, No. 2, pp.133-142, April 1999   DOI   ScienceOn
17 W. Chen and M. Saif, 'Design of a TS based nonlinear unknown input observer with fault diagnosis applications,' Proceedings of the 2007 ACC, Newyork city, USA, pp.2545-2550, July 11-13, 2007
18 R. J. Patton and J. Chen, 'Observer-based fault detection and isolation: robustness and applications,' Control Eng. Practice, 5, 5, pp. 671-682, 1997   DOI   ScienceOn