A generalized active disturbance rejection control method for nonlinear uncertain systems subject to additive disturbance

详细信息    查看全文

• 作者：Chuanlin Zhang ; Jun Yang ; Shihua Li ; Ning Yang
• 关键词：Nonlinear uncertain system ; Active disturbance rejection control ; Additive disturbances ; Domination ; Compensation
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：83
• 期：4
• 页码：2361-2372
• 全文大小：794 KB
• 参考文献：1.Gao, Z.: Active disturbance rejection control: a paradigm shift in feedback control system design. In: Proceedings of American Control Conference, pp. 2399–2405 (2006)
  2.Guo, L., Cao, S.: Anti-disturbance control theory for systems with multiple disturbances: a survey. ISA Trans. 53(4), 846–849 (2014)CrossRef
  3.Li, S., Yang, J., Chen, W., Chen, X.: Disturbance Observer-Based Control: Methods and Applications. CRC Press, Boca Raton (2014)
  4.Marino, R., Tomei, P.: Nonlinear Control Design: Geometric, Adaptive, and Robust. Prentice Hall International, UK (1995)
  5.Xu, B., Shi, Z., Yang, C.: Composite fuzzy control of a class of uncertain nonlinear systems with disturbance observer. Nonlinear Dyn. 80(1), 341–351 (2015)CrossRef
  6.Chen, W.-H., Yang, J., Guo, L., Li, S.: Disturbance observer-based control and related methods: An overview. IEEE Trans. Ind. Electron. (2015). doi:10.​1109/​TIE.​2015.​2478397
  7.Yi, Y., Zheng, W., Sun, C., Guo, L.: Dob fuzzy controller design for non-gaussian stochastic distribution systems using two-step fuzzy identification. IEEE Trans. Fuzzy Syst. (2015). doi:10.​1109/​TFUZZ.​2015.​2459755
  8.Chen, W.H.: Disturbance observer based control for nonlinear systems. IEEE/ASME Trans. Mechatron. 9(4), 706–710 (2004)CrossRef
  9.Liu, H., Li, S.: Speed control for pmsm servo system using predictive function control and extended state observer. IEEE Trans. Ind. Electron. 59(2), 1171–1183 (2012)CrossRef
  10.Zhang, C., Wang, J., Li, S., Wu, B., Qian, C.: Robust control for pwm-based dc–dc buck power converters with uncertainty via sampled-data output feedback. IEEE Trans. Power Electron. 30(1), 504–515 (2015)CrossRef
  11.Sun, B., Gao, Z.: A dsp-based active disturbance rejection control design for a 1-kw h
  idge dc–dc power converter. IEEE Trans. Ind. Electron. 52(5), 1271–1277 (2005)CrossRef
  12.Yang, J., Zheng, W., Li, S., Wu, B., Cheng, M.: Design of a prediction accuracy enhanced continuous-time mpc for disturbed systems via a disturbance observer. IEEE Trans. Ind. Electron. 62(9), 5807–5816 (2015)CrossRef
  13.Yang, J., Li, S., Sun, C., Guo, L.: Nonlinear-disturbance-observer-based robust flight control for airbreathing hypersonic vehicles. IEEE Trans. Aerosp. Electron. Syst. 49(2), 1263–1275 (2013)CrossRef
  14.Dabroom, A.M., Khalil, H.K.: Output feedback sampled-data control of nonlinear systems using high-gain observers. IEEE Trans. Autom. Control 46(11), 1712–1725 (2001)CrossRef
  15.Krstic, M., Kanellakopoulos, I., Kokotovic, P.V.: Nonlinear and Adaptive Control Design. Wiley, Hoboken (1995)
  16.Isidori, A.: Nonlinear control systems. Communications and Control Engineering Series, 3rd edn. Springer-Verlag, Berlin (1995)CrossRef
  17.Huang, J., Chen, Z.Y.: A general framework for tackling the output regulation problem. IEEE Trans. Autom. Control 49(12), 2203–2218 (2004)CrossRef
  18.Zhai, J., Du, H.: Semi-global output feedback stabilization for a class of nonlinear systems using homogeneous domination approach. ISA Trans. 52(2), 231–241 (2013)CrossRef
  19.Tian, W., Zhang, C., Qian, C., Li, S.: Global stabilization of inherently non-linear systems using continuously differentiable controllers. Nonlinear Dyn. 77(3), 739–752 (2014)CrossRef
  20.Han, J.: Nonlinear design methods for control systems. In: Proceedings of the 14th IFAC World Congress (1999)
  21.Han, J.: From pid to active disturbance rejection control. IEEE Trans. Ind. Electron. 56(3), 900–906 (2009)CrossRef
  22.Xue, W., Huang, Y.: On performance analysis of adrc for a class of mimo lower-triangular nonlinear uncertain systems. ISA Trans. 53(4), 955–962 (2014)CrossRef
  23.Huang, Y., Xue, W., Yang, X.: Active disturbance rejection control: Methodology, theoretical analysis and applications. In: 2010 29th Chinese Control Conference, Beijing, pp. 6083–6090 (2010)
  24.Li, S., Yang, X., Yang, D.: Active disturbance rejection control for high pointing accuracy and rotation speed. Automatica 45(8), 1854–1860 (2009)CrossRef
  25.Huang, C., Li, D., Xue, Y.: Active disturbance rejection control for the alstom gasifier benchmark problem. Control Eng. Pract. 21(4), 556–564 (2013)CrossRef
  26.Ahrens, J.H., Tan, X., Khalil, H.K.: Multirate sampled-data output feedback control with application to smart material actuated systems. IEEE Trans. Autom. Control 54(11), 2518–2529 (2009)CrossRef
  27.Nazrulla, M., Khalil, H.: Robust stabilization of non-minimum phase nonlinear systems using extended high gain observers. IEEE Trans. Autom. Control 56, 802–813 (2011)CrossRef
  28.Qian, C., Lin, W.: Output feedback control of a class of nonlinear systems: a nonseparation principle paradigm. IEEE Trans. Autom. Control 47(10), 1710–1715 (2002)CrossRef
  29.Zhang, C., Jia, R., Qian, C., Li, S.: Semi-global stabilization via linear sampled-data output feedback for a class of uncertain nonlinear systems. Int. J. Robust Nonlinear Control 25(13), 2041–2061 (2015)
  30.Guo, L., Chen, W.H.: Disturbance attenuation and rejection for systems with nonlinearity via dobc approach. Int. J. Robust Nonlinear Control 15(3), 109–125 (2005)CrossRef
  31.Sun, H., Li, S., Yang, J., Zheng, W.X.: Global output regulation for strict-feedback nonlinear systems with mismatched nonvanishing disturbances. Int. J. Robust Nonlinear Control 25(15), 2631–2645 (2015)CrossRef
  32.Li, S., Yang, J., Chen, W., Chen, X.: Generalized extended state observer based control for systems with mismatched uncertainties. IEEE Trans. Ind. Electron. 59(12), 4792–4802 (2012)CrossRef
  33.Qian, C.: Semi-global stabilization of a class of uncertain nonlinear systems by linear output feedback. IEEE Trans. Circuits Syst. II 52(4), 218–222 (2005)CrossRef
  34.Komurcugil, H.: Non-singular terminal sliding-mode control of dc–dc buck converters. Control Eng. Pract. 21(3), 321–332 (2012)CrossRef
  35.El Fadil, H., Giri, F., El Magueri, O., Chaoui, F.: Control of dc–dc power converters in the presence of coil magnetic saturation. Control Eng. Pract. 17(7), 849–862 (2009)CrossRef
  
• 作者单位：Chuanlin Zhang (1)
  Jun Yang (2)
  Shihua Li (2)
  Ning Yang (1)
  
  1. Shanghai Engineering Research Center of Intelligent Management and Control for Power Process, College of Automation Engineering, Shanghai University of Electric Power, Shanghai, 200090, China
  2. School of Automation, Southeast University, Nanjing, 210096, Jiangsu, China
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

This paper investigates a generalized active disturbance rejection control framework for a class of uncertain nonlinear systems subject to additive disturbance. First, a new extended state observer with less dependence of the system information is developed which will enable an easy-transplantable characteristic for nonlinear systems with variable nonlinearity restrictions. Then integrating with an output feedback domination technique, an effective disturbance attenuation law is designed to handle a wider class of systems whose nonlinear items may go beyond the strict-feedback structure and Lipschitz continuity requirement. A rigorous stability analysis is also carried out with a semi-global output feedback control objective. Numerical simulation results and an application into a DC–DC buck power converters demonstrate the feasibility and improved control performance of the proposed method. Keywords Nonlinear uncertain system Active disturbance rejection control Additive disturbances Domination Compensation