Abstract
In this paper, a fuzzy dynamic characteristic modeling and adaptive control method is proposed for a class of nonlinear systems. By employing fuzzy dynamic characteristic model, the controlled plant is described as a slowly time-varying fuzzy system, wherein the parameters are estimated online by using recursive Least-Squares algorithm. Under this framework, a fuzzy adaptive controller is constructed, and the stability condition of the closed-loop system is also derived. The main advantage of the proposed method lies in no requirement for the prior knowledge of system model and less parameters to tune, which allows engineers to operate it in a simple, straightforward manner. The proposed method is applied to the control of hypersonic vehicle, and simulation results are given to demonstrate the effectiveness of the obtained results.
Similar content being viewed by others
References
Ma X J, Sun Z Q, He Y. Analysis and design of fuzzy controller and fuzzy observer. IEEE Trans Fuzzy Syst, 1998, 6: 41–51
Feng M, Harris C J. Piecewise Lyapunov stability conditions of fuzzy systems. IEEE Trans Syst Man Cybern B, 2001, 31: 259–262
Tanaka K, Wang H O. Fuzzy Control Systems Design and Analysis: A LMI Approach. New York: Wiley, 2001
Feng G. Stability analysis of discrete time fuzzy dynamic systems based on piecewise Lyapunov functions. IEEE Trans Fuzzy Syst, 2004, 12: 22–28
Wang W J, Sun C H. Relaxed stability and stabilization conditions for a T-S fuzzy discrete system. Fuzzy Sets Syst, 2005, 156: 208–225
Feng G. A survey on analysis and design of model-based fuzzy control systems. IEEE Trans Fuzzy Syst, 2006, 14: 676–697
Tanaka K, Hori T, Wang H O. A multiple Lyapunov function approach to stabilization of fuzzy control systems. IEEE Trans Fuzzy Syst, 2003, 11: 582–589
Choi D J, Park P G. H-infinity state-feedback controller design for discrete-time fuzzy systems using fuzzy weighting-dependent Lyapunov functions. IEEE Trans Fuzzy Syst, 2003, 11: 271–278
Chen B, Liu X P, Tong S C, et al. Observer-based stabilization of T-S fuzzy systems with input Delay. IEEE Trans Fuzzy Syst, 2008, 16: 652–663
Zhang Y S, Xu S Y, Zhang B Y. Robust output feedback stabilization for uncertain discrete-time fuzzy markovian jump systems with time-varying delays. IEEE Trans Fuzzy Syst, 2009, 17: 411–420
Gao H J, Zhao Y, Chen T W. H-infinity fuzzy control of nonlinear systems under unreliable communication links. IEEE Trans Fuzzy Syst, 2009, 17: 265–278
Zhang T J, Feng G, Zeng X J. Output tracking of constrained nonlinear processes with offset-free input-to-state stable fuzzy predictive control. Automatica, 2009, 45: 900–909
Wu H X, Liu Y W, Liu Z H, et al. Characteristic modeling and the control of flexible structure. Sci China Ser F-Inf Sci, 2001, 44: 278–291
Wu H X, Wang Y C, Xin Y. Intelligent control based on intelligent characteristic model and its application. Sci China Ser F-Inf Sci, 2003, 46: 225–241
Lei Y J, Wu H X. Tracking control of robotic manipulators based on the all-coefficient adaptive control method. Int J Control Auto Syst, 2006, 4: 139–145
Wu H X, Wu J, Xie Y C. Characteristic model-based all-coefficient adaptive control method and its applications. IEEE Trans Syst Man Cyb C, 2007, 37: 213–221
Wu H X, Wu J, Xie Y C. Intelligent Adaptive Control Based on Characteristic Model (in Chinese). Beijing: Chinese Science and Technology Press, 2009
Luo X, Sun Z Q, Sun F C. A new approach to fuzzy modeling and control for nonlinear dynamic systems: neuro-fuzzy dynamic characteristic modeling and adaptive control mechanism. Int J Control Auto Syst, 2009, 7: 123–132
Constantin P, Jacob B, Silviu C. A robust variable forgetting factor recursive least-squares algorithm for system identification. IEEE Sig Proc Lett, 2008, 15: 597–600
Xu H J, Mirmirani M, Ioannou P A. Robust neural adaptive control of a hypersonic aircraft. In: AIAA Guidance, Navigation, and Control Conference, AIAA, Austin, Texas, 2003. 1–11
Xu H J, Ioannou P A, Mirmirani M. Adaptive sliding mode control design for a hypersonic flight vehicle. J Guid Control Dyn, 2004, 27: 829–838
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Li, H., Sun, Z., Min, H. et al. Fuzzy dynamic characteristic modeling and adaptive control of nonlinear systems and its application to hypersonic vehicles. Sci. China Inf. Sci. 54, 460–468 (2011). https://doi.org/10.1007/s11432-011-4188-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11432-011-4188-9