State and output feedback fuzzy variable structure controllers for multivariable nonlinear systems subject to input nonlinearities

International Journal of Advanced Manufacturing Technology

Volumn 71, Issue 1-4, 2014, Pages 539-556

  Boulkroune, Abdesselem ^a   Msaad, Mohammed ^b   Farza, Mondher ^b  

^a UNIVERSITY OF JIJEL   (Algeria)

^b Centre National de la Recherche Scientifique   (France)

Author keywords

Adaptive fuzzy control; Dead zone; High gain observer; Multivariable nonlinear systems; Sector nonlinearity; Variable structure control

Indexed keywords

ADAPTIVE FUZZY CONTROL; DEAD ZONES; HIGH-GAIN OBSERVERS; MULTIVARIABLE NONLINEAR SYSTEMS; SECTOR NONLINEARITY;

ADAPTIVE CONTROL SYSTEMS; FUZZY CONTROL; NONLINEAR SYSTEMS; PRODUCT DESIGN; STATE FEEDBACK; VARIABLE STRUCTURE CONTROL;

CONTROLLERS;

EID: 84897645859     PISSN: 02683768     EISSN: 14333015     Source Type: Journal    
DOI: 10.1007/s00170-013-5453-4     Document Type: Article

References (45)

1. Wang LX (1994) Adaptive fuzzy systems and control: design and stability analysis. Prentice-Hall, Englewood Cliffs
2. Chang YC (2000) Robust tracking control for nonlinear MIMO systems via fuzzy approaches. Automatica 36:1535-1545
3. Chekireb H, Tadjine M, Bouchaffra D (2003) Direct adaptive fuzzy control of nonlinear system class with applications. Control Intell Syst 31(2):1-11
4. Essounbouli N, Hamzaoui A, Zaytoon J (2006) An improved robust adaptive fuzzy controller for MIMO systems. Control Intell Syst 34(1):12-21
5. Golea N, Golea A, Benmahammed K (2003) Stable indirect fuzzy adaptive control. Fuzzy Sets Syst 137:353-366
6. Labiod S, Boucherit MS, Guerra TM (2005) Adaptive fuzzy control of a class of MIMO nonlinear systems. Fuzzy Sets Syst 151:59-77
7. Li HX, Tong SC (2003) A hybrid adaptive fuzzy control for a class of nonlinear MIMO systems. IEEE Trans Fuzzy Syst 11(1):24-34
8. Ordonez R, Passino KM (1999) Stable multi-input multi-output adaptive fuzzy/neural control. IEEE Trans Fuzzy Syst 7(3):345-353
9. Tong SC, Tang J, Wang T (2000) Fuzzy adaptive control of multivariable nonlinear systems. Fuzzy Sets Syst 111(2):153-167
10. Tong SC, Li HX (2003) Fuzzy adaptive sliding model control for MIMO nonlinear systems. IEEE Trans Fuzzy Syst 11(3):354-360
11. Tong SC, Chen B, Wang Y (2005) Fuzzy adaptive output feedback control for MIMO nonlinear systems. Fuzzy Sets Syst 156(2):285-299
12. Gutierrez HM, Ro PI (1998) Sliding-mode control of a nonlinear-input system: application to a magnetically levitated fast-tool servo. IEEE Trans Ind Electron 45:921-927
13. Hsu KC, Wang WY, Lin PZ (2004) Sliding mode control for uncertain nonlinear systems with multiple inputs containing sector nonlinearities and deadzones. IEEE Trans Syst Man Cybern Part-B 34(1):374-380
14. Hsu KC (1999) Decentralized sliding mode controller for uncertain time-delayed systems with series nonlinearities. ASME J Dyn Syst Meas Control 121(4):708-713
15. Shyu KK, Liu WJ, Hsu KC (2003) Decentralized variable structure control design for uncertain large scale systems containing a deadzone. IEE Proc Control Theory Appl 150(5):467-475
16. Shyu KK, Liu WJ, Hsu KC (2005) Design of large-scale time-delayed systems with dead-zone input via variable structure control. Automatica 41:1239-1246
17. Niu Y, Ho DWC (2006) Design of sliding mode control for nonlinear stochastic systems subject to actuator nonlinearity. IEE Proc Control Theory Appl 153(6):737-744
18. Zhang TP, Ge SS (2007) Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs. Automatica 43(6):1021-1033
19. Zhang TP, Yi Y (2007) Adaptive fuzzy control for a class of MIMO nonlinear systems with unknown dead-zones. Acta Autom Sin 33(1):96-99
20. Boulkroune A, M'Saad M, Tadjine M, Farza M (2008) Adaptive fuzzy control for MIMO nonlinear systems with unknown dead-zone. Proc. 4th International IEEE Conference on Intelligent Systems, Varna, pp 450-455
21. Zhang M, Yu Z, Huan H, Zhou Y (2008) The sliding mode variable structure control based on composite reaching law of active magnetic bearing. ICIC Express Lett 2(1):59-63
22. Li C, Tong SC, Wang Y (2008) Fuzzy adaptive fault tolerant sliding mode control for SISO nonlinear systems. Int J Innov Comput Inf Control 4(12):3375-3384
23. Masuike H, Ikuta A (2009) Fuzzy adaptive filter for state estimation of sound environment system and its application to psychological evaluation. Int J Innov Comput Inf Control 5(12B):4797-4808
24. Zhang W, Wang T, Tong SC (2009) Delay-dependent stabilization conditions and control of T-S fuzzy systems with time-delay. ICIC Express Lett 3(4A):871-876
25. Boulkroune A, M'Saad M, Tadjine M, Farza M (2010) Fuzzy adaptive controller for MIMO nonlinear systems with known and unknown control direction. Fuzzy Sets Syst 161(3):797-820
26. Boulkroune A, Tadjine M, Msaad M, Farza M (2008) How to design a fuzzy adaptive control based on observers for uncertain affine nonlinear systems. Fuzzy Sets Syst 159:926-948
27. Boulkroune A, Tadjine M, Msaad M, Farza M (2009) Adaptive fuzzy controller for non-affine systems with zero dynamics. Int J Syst Sci 40(4):367-382
28. Hua C, Guan X, Shi P (2006) Decentralized robust model reference adaptive control for interconnected time-delay systems. J Comput Appl Math 193:383-396
29. Zhang L, Shi P, Wang C, Gao H (2006) Robust H-infinity filtering for switched linear discrete-time systems with polytopic uncertainties. Int J Adapt Control Sig Process 20:291-304
30. Lin Z, Zhu Z, Xia Y, Wang S (2010) Adaptive control for missile systems with parameter uncertainty. ICIC Express Lett 4(5B):1937-1944
31. Qin P, Han X, Lin Y (2009) Convergence analysis about improved model-free adaptive controller based on multi-innovation theory. ICIC Express Lett 3(3A):301-306
32. Chen J, Behal A, Dawson DM (2006) Adaptive output feedback control for a class of MIMO nonlinear systems. Proc. of the American Control Conference, Minneapolis, pp 5300-5305
33. Costa RR, Hsu L, Imai AK, Kokotovic P (2003) Lyapunov-based adaptive control of MIMO systems. Automatica 39(7):1251-1257
34. Hsu L, Costa RR, Lizarralde F (2007) Lyapunov/passivity-based adaptive control of relative degree two MIMO systems with an application to visual servoing. IEEE Trans Autom Control 52(2):364-371
35. Zhang XT, Dawson DM, De Queiroz MS, Xian B (2004) Adaptive control for a class of MIMO nonlinear systems with non-symmetric input matrix. Proc. of the IEEE International Conference on Control Applications, Taipei, pp 1324-1329
36. Strang G (1980) Linear algebra and its applications. Academic, New Work
37. Tong SC, Zhang W, Wang T (2010) Robust stabilization conditions and observer-based controllers for fuzzy systems with input delay. Int J Innov Comput Inf Control 6(12):5473-5484
38. Tong SC, Sheng N, Li Y (2011) Observer-based adaptive fuzzy backstepping control for strict-feedback nonlinear systems with unknown time delays. Int J of Inn Comput Inf Control 7(12):6949-6964
39. Ge SS, Zhang J (2004) Neural network control of nonaffine nonlinear system with zero dynamics by state and output feedback. IEEE Trans Neural Netw 14(4):900-918
40. Tee KP, Ge SS (2006) Control of fully actuated ocean surface vessels using a class of feedforward approximators. IEEE Trans Control Syst Technol 14(4):750-756
41. Behtash S (1990) Robust output tracking for nonlinear systems. Int J Control 51:1381-1405
42. Khalil HK (2001) Nonlinear systems, 3rd edn. Englewood Cliffs, Prentice-Hall
43. Shi P, Xia Y, Liu G, Rees D (2006) On designing of sliding mode control for stochastic jump systems. IEEE Trans Autom Control 51(1):97-103
44. Liu M, Shi P, Zhang L, Zhao X (2011) Fault tolerant control for nonlinear Markovian jump systems via proportional and derivative sliding mode observer. IEEE Trans Circ Syst I Reg Pap 58(11):2755-2764
45. Lin Z, Xia Y, Shi P, Wu H (2011) Robust sliding mode control for uncertain linear discrete systems independent of time-delay. Int J Innov Comput Inf Control 7(2):869-881