H∞ Observer Design for LPV Systems with Uncertain Measurements on Scheduling Variables: Application to an Electric Ground Vehicle

IEEE/ASME Transactions on Mechatronics

Volumn 21, Issue 3, 2016, Pages 1659-1670

  Zhang, Hui ^a   Zhang, Guoguang ^b   Wang, Junmin ^b  

^a BEIHANG UNIVERSITY   (China)

^b The Ohio State University   (United States)

Author keywords

electric ground vehicle (EGV); H filtering; Linear parameter varying (LPV) system; sliding mode observer; uncertain measurements

Indexed keywords

DESIGN; ELECTRIC GROUNDING; ERRORS; GROUND VEHICLES; PARAMETER ESTIMATION; SCHEDULING; SLIDING MODE CONTROL; VEHICLES;

ESTIMATION ERRORS; EXPERIMENTAL TEST; LINEAR PARAMETER VARYING SYSTEMS; LONGITUDINAL VELOCITY; SCHEDULING VARIABLE; SLIDING MODE OBSERVERS; UNCERTAIN MEASUREMENTS; UNKNOWN DISTURBANCE;

UNCERTAINTY ANALYSIS;

EID: 84969632490     PISSN: 10834435     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMECH.2016.2522759     Document Type: Article

References (54)

1. M. Butcher and A. Karimi, "Linear parameter-varying iterative learning control with application to a linear motor system," IEEE/ASME Trans. Mechatronics, vol. 15, no. 3, pp. 412-420, Jun. 2010.
2. S. Zhang, J.-J. Yang, and G. Zhu, "LPV modeling and mixed constrained H2/H∞ control of an electronic throttle," IEEE/ASME Trans. Mechatronics, vol. 20, no. 5, pp. 2120-2032, Oct. 2015.
3. P. Apkarian, P. Gahinet, and G. Becker, "Self-scheduled H∞ control of linear parameter-varying systems: a design example," Automatica, vol. 31, no. 9, pp. 1251-1261, 1995.
4. J. S. Shamma and M. Athans, "Guaranteed properties of gain scheduled control for linear parameter-varying plants," Automatica, vol. 27, no. 3, pp. 559-564, 1991.
5. G. Becker and A. Packard, "Robust performance of linear parametrically varying systems using parametrically-dependent linear feedback," Syst. Control Lett., vol. 23, no. 3, pp. 205-215, 1994.
6. L. Wu, X. Yang, and F. Li, "Nonfragile output tracking control of hypersonic air-breathing vehicles with an LPV model," IEEE/ASME Trans. Mechatronics, vol. 18, no. 4, pp. 1280-1288, Aug. 2013.
7. D. Li andY. Xi, "The feedback robustMPCfor LPV systemswith bounded rates of parameter changes," IEEE Trans. Autom. Control, vol. 55, no. 2, pp. 503-507, Feb. 2010.
8. J. De Caigny, J. F. Camino, R. C. L. F. Oliveira, P. L. D. Peres, and J. Swevers, "Gain-scheduled dynamic output feedback control for discretetime LPV systems," Int. J. Robust Nonlinear Control, vol. 22, no. 5, pp. 535-558, 2012.
9. W. Heemels, J. Daafouz, and G. Millerioux, "Observer-based control of discrete-time LPV systems with uncertain parameters," IEEE Trans. Autom. Control, vol. 55, no. 9, pp. 2130-2135, Sep. 2010.
10. F. Amato, M. Ariola, and C. Cosentino, "Finite-time stability of linear time-varying systems: Analysis and controller design," IEEE Trans. Autom. Control, vol. 55, no. 4, pp. 1003-1008, Apr. 2010.
11. F. Bianchi, C. Kunusch, C. Ocampo-Martinez, and R. Sanchez-Pena, "A gain-scheduled LPV control for oxygen stoichiometry regulation in PEM fuel cell systems," IEEE Trans. Control Syst. Technol., vol. 22, no. 5, pp. 1837-1844, Sep. 2014.
12. X.Wei and L. del Re, "Gain scheduled H∞ control for air path systems of diesel engines using LPV techniques," IEEE Trans. Control Syst. Technol., vol. 15, no. 3, pp. 406-415, May 2007.
13. D. Robert, O. Sename, and D. Simon, "An H∞ LPV design for sampling varying controllers: Experimentation with a T-inverted pendulum," IEEE Trans. Control Syst. Technol., vol. 18, no. 3, pp. 741-749, May 2010.
14. P. Gebraad, J. van Wingerden, P. Fleming, and A. Wright, "LPV identification of wind turbine rotor vibrational dynamics using periodic disturbance basis functions," IEEE Trans. Control Syst. Technol., vol. 21, no. 4, pp. 1183-1190, Jul. 2013.
15. D. Ichalal, B. Marx, J. Ragot, and D. Maquin, "State estimation of Takagi-Sugeno systems with unmeasurable premise variables," IET Control Theory Appl., vol. 4, no. 5, pp. 897-908, 2010.
16. K.-Y. Lian, C.-H. Chiang, and H.-W. Tu, "LMI-based sensorless control of permanent-magnet synchronous motors," IEEE Trans. Ind. Electron., vol. 54, no. 5, pp. 2769-2778, Oct. 2007.
17. K. Cho, J. Kim, S. B. Choi, and S. Oh, "A high-precision motion control based on a periodic adaptive disturbance observer in a PMLSM," IEEE/ASME Trans. Mechatronics, vol. 20, no. 5, pp. 2158-2171, Oct. 2015.
18. G. Phanomchoeng and R. Rajamani, "Real-time estimation of rollover index for tripped rollovers with a novel unknown input nonlinear observer," IEEE/ASME Trans. Mechatronics, vol. 19, no. 2, pp. 743-754, Apr. 2014.
19. W. He and S. S. Ge, "Vibration control of a nonuniform wind turbine tower via disturbance observer," IEEE/ASME Trans. Mechatronics, vol. 20, no. 1, pp. 237-244, Feb. 2015.
20. H. Zhang, J.Wang, and Y.-Y.Wang, "Nonlinear observer design of diesel engine selective catalytic reduction systems with NOx sensor measurements," IEEE/ASME Trans. Mechatronics, vol. 20, no. 4, pp. 1585-1594, Aug. 2015.
21. H. Hur and H.-S. Ahn, "Unknown input H∞ observer-based localization of a mobile robot with sensor failure," IEEE/ASME Trans. Mechatronics, vol. 19, no. 6, pp. 1830-1838, Dec. 2014.
22. A. Mujumdar, B. Tamhane, and S. Kurode, "Observer-based sliding mode control for a class of noncommensurate fractional-order systems," IEEE/ASME Trans. Mechatronics, vol. 20, no. 5, pp. 2504-2512, Oct. 2015.
23. R. E. Kalman, "A new approach to linear filtering and prediction problems," J. Basic Eng., vol. 82, pp. 35-45, 1960.
24. S. Helm, M. Kozek, and S. Jakubek, "Combustion torque estimation and misfire detection for calibration of combustion engines by parametric Kalman filtering," IEEE Trans. Ind. Electron., vol. 59, no. 11, pp. 4326-4337, Nov. 2012.
25. D. Luenberger, "Observing the state of a linear system," IEEE Trans. Mil. Electron., vol. ME-8, no. 2, pp. 74-80, Apr. 1964.
26. K. Erazo and E. M. Hernandez, "A model-based observer for state and stress estimation in structural and mechanical systems: Experimental validation," Mech. Syst. Signal. Process., vol. 43, no. 1-2, pp. 141-152, Feb. 2014.
27. H. Gao and T. Chen, "H∞ estimation for uncertain systems with limited communication capacity," IEEE Trans. Autom. Control, vol. 52, no. 11, pp. 2070-2084, Nov. 2007.
28. M. Sahebsara, T. Chen, and S. L. Shah, "Optimal H∞ filtering in networked control systems with multiple packet dropouts," Syst. Control Lett., vol. 57, no. 9, pp. 696-702, 2008.
29. V. Dragan and A.-M. Stoica, "Optimal H2 filtering for a class of linear stochastic systems with sampling," Automatica, vol. 48, no. 10, pp. 2494-2501, 2012.
30. L. Wu and W. X. Zheng, "Reduced-order H2 filtering for discrete linear repetitive processes," Signal Process., vol. 91, no. 7, pp. 1636-1644, 2011.
31. W. M. Haddad, D. S. Bernstein, and D. Mustafa, "Mixed-norm H2/H∞ regulation and estimation: The discrete-time case," Syst. Control Lett., vol. 16, no. 4, pp. 235-247, 1991.
32. D. J. N. Limebeer, B. D. O. Anderson, and B. Hendel, "A Nash game approach to the mixed H2/H∞ control problem," IEEE Trans. Autom. Control, vol. 39, no. 1, pp. 69-82, Jan. 1994.
33. M.-F. Hsieh and J. Wang, "Sliding-mode observer for urea-selective catalytic reduction (SCR) mid-catalyst ammonia concentration estimation," Int. J. Auto. Technol., vol. 12, no. 3, pp. 321-329, 2011.
34. L. Zhao, J. Huang, H. Liu, B. Li, and W. Kong, "Second-order sliding-mode observer with online parameter identification for sensorless induction motor drives," IEEE Trans. Ind. Electron., vol. 61, no. 10, pp. 5280-5289, Oct. 2014.
35. Y. Lin, Y. Shi, and R. Burton, "Modeling and robust discrete-time sliding mode contril design for a fluid power electrohydraulic actuator (EHA) system," IEEE/ASME Trans. Mechatronics, vol. 18, no. 1, pp. 1-10, Feb. 2013.
36. F. Li, L.Wu, P. Shi, and C. C. Lim, "State estimation and slidingmode control for semi-Markovian jump systems with mismatched uncertainties," Automatica, vol. 51, no. 1, pp. 385-393, 2015.
37. C. P. Tan and C. Edwards, "An LMI approach for designing sliding mode observers," Int. J. Control, vol. 74, no. 6, pp. 1559-1568, 2001.
38. P. Bergsten, R. Palm, and D. Driankov, "Observers for Takagi-Sugeno fuzzy systems," IEEE Trans. Syst., Man, Cybern. B, vol. 32, no. 1, pp. 114-121, Feb. 2002.
39. C. P. Tan and C. Edwards, "Sliding mode observers for detection and reconstruction of sensor faults," Automatica, vol. 38, no. 10, pp. 1815-1821, 2002.
40. A. Akhenak, M. Chadli, J. Ragot, and D. Maquin, "Design of sliding mode unknown input observer for uncertain Takagi-Sugeno model," in Proc. Mediterranean Conf. Control Autom., Athens, Greece, Jun. 2007, pp. 1-6.
41. M. Fallah, R. Bhat, and W. F. Xie, "Optimized control of semiactive suspension systems using H∞ robust control theory and current signal estimation," IEEE/ASME Trans. Mechatronics, vol. 17, no. 4, pp. 767-778, Aug. 2012.
42. S. Ibaraki, S. Suryanarayanan, and M. Tomizuka, "Design of Luenberger state observers using fixed-structure H∞ optimization and its application to fault detection in lane-keeping control of automated vehicles," IEEE/ASME Trans. Mechatronics, vol. 10, no. 1, pp. 34-42, Feb. 2005.
43. L. Xie and Y. C. Soh, "Robust control of linear systems with generalized positive real uncertainty," Automatica, vol. 33, no. 5, pp. 963-967, 1997.
44. H. Zhang, Y. Shi, and A. Saadat Mehr, "Robust weighted H∞ filtering for networked systems with intermitted measurements of multiple sensors," Int. J. Adapt. Control Signal Process., vol. 25, no. 4, pp. 313-330, 2011.
45. R. Wang, H. Zhang, and J. Wang, "Linear parameter-varying controller design for four wheel independently-actuated electric ground vehicles with active steering systems," IEEE Trans. Control Syst. Technol., vol. 22, no. 4, pp. 1281-1296, Jul. 2014.
46. D. Piyabongkarn, R. Rajamani, J. A. Grogg, and J. Y. Lew, "Development and experimental evaluation of a slip angle estimator for vehicle stability control," IEEE Trans. Control Syst. Technol., vol. 17, no. 1, pp. 78-88, Jan. 2009.
47. Y. H. Hsu, S. M. Laws, and J. C. Gerdes, "Estimation of tire slip angle and friction limits using steering torque," IEEE Trans. Control Syst. Technol., vol. 18, no. 4, pp. 896-907, Jul. 2010.
48. S. H. You, J. O. Hahn, and H. Lee, "New adaptive approaches to real-time estimation of vehicle sideslip angle," Control Eng. Pract., vol. 17, no. 12, pp. 1367-1379, 2009.
49. R. Wang, Y. Chen, D. Feng, X. Huang, and J. Wang, "Development and performance characterization of an electric ground vehicle with independently actuated in-wheel motors," J. Power Sources, vol. 196, no. 8, pp. 3962-3971, 2011.
50. H. Zhang, X. Zhang, and J. Wang, "Robust gain-scheduling energy-topeak control of vehicle lateral dynamics stabilisation," Vehicle Syst. Dynam., vol. 52, no. 3, pp. 309-340, 2014.
51. H. Li, P. Shi, D. Yao, and L. Wu, "Observer-based adaptive sliding mode control of nonlinear Markovian jump systems," Automatica, vol. 64, no. 1, pp. 133-142, 2016.
52. H. Li and J.Wang and P. Shi, "Output-feedback based slidingmode control for fuzzy systems with actuator saturation," IEEE Trans. Fuzzy Syst., to be published.
53. H. Li and Y. Shi, "Robust distributed model predictive control of constrained continuous-time nonlinear systems: A robustness constraint approach," IEEE Trans. Autom. Control, vol. 59, no. 6, pp. 1673-1678, Jun. 2014.
54. H. Li and Y. Shi, "Robust distributed receding horizon control of continuous-time nonlinear systems: Handling communication delays and disturbances," Automatica, vol. 50, no. 41, pp. 1264-1271, 2014.