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2017 | OriginalPaper | Buchkapitel

DOB Tracking Control for Systems with Input Saturation and Exogenous Disturbances via T-S Disturbance Modelling

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Abstract

In this paper, the anti-disturbance dynamical tracking problem is investigated for a class of systems subject to input saturation and unknown disturbances under the framework of disturbance-observer-based-control (DOBC). In order to expand the application scope of exogenous disturbances, T-S fuzzy models are employed to describe those complex nonlinear disturbances, and the corresponding disturbance observer is also well designed. The PI-type composite controller with the estimates of disturbance is designed to ensure the system stability and the convergence of tracking error to zero. Meanwhile, an estimation of domain of attraction can also be described by the level set of the Lyapunov function. Finally, a simulation example for flight control systems with nonlinear disturbances is given to verify the effectiveness of the proposed schemes.

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Literatur
Zurück zum Zitat Chen, W. H., Balance, D. J., & Gawthrop, P. J. (2000). A nonlinear disturbance observer for robotic manipulators. IEEE Transactions on Industrial Electronics, 47(4), 932–938.CrossRef Chen, W. H., Balance, D. J., & Gawthrop, P. J. (2000). A nonlinear disturbance observer for robotic manipulators. IEEE Transactions on Industrial Electronics, 47(4), 932–938.CrossRef
Zurück zum Zitat Guo, L., & Chen, W. H. (2005). Disturbance attenuation and rejection for systems with nonlinearity via DOBC approach. International Journal of Robust and Nonlinear Control, 15, 109–125.MathSciNetCrossRefMATH Guo, L., & Chen, W. H. (2005). Disturbance attenuation and rejection for systems with nonlinearity via DOBC approach. International Journal of Robust and Nonlinear Control, 15, 109–125.MathSciNetCrossRefMATH
Zurück zum Zitat Hu, T., & Lin, Z. (2001). Control systems with actuator saturation: Analysis and design. Boston, MA: Birkhäuser.CrossRefMATH Hu, T., & Lin, Z. (2001). Control systems with actuator saturation: Analysis and design. Boston, MA: Birkhäuser.CrossRefMATH
Zurück zum Zitat Hu, T., Lin, Z., & Chen, B. M. (2002). Analysis and design for discrete-time linear systems subject to actuator saturation. Systems & Control Letters, 45, 97–112.MathSciNetCrossRefMATH Hu, T., Lin, Z., & Chen, B. M. (2002). Analysis and design for discrete-time linear systems subject to actuator saturation. Systems & Control Letters, 45, 97–112.MathSciNetCrossRefMATH
Zurück zum Zitat Isidori, A., & Byrnes, C. I. (1990). Output regulation of nonlinear systems. IEEE Transactions on Automatic Control, 35(2), 131–140.MathSciNetCrossRefMATH Isidori, A., & Byrnes, C. I. (1990). Output regulation of nonlinear systems. IEEE Transactions on Automatic Control, 35(2), 131–140.MathSciNetCrossRefMATH
Zurück zum Zitat Luo, Y. H., & Zhang, H. G. (2008). Approximate optimal control for a class of nonlinear discrete-time systems with saturating actuators. Progress in Natural Science, 18(8), 1023–1029.MathSciNetCrossRef Luo, Y. H., & Zhang, H. G. (2008). Approximate optimal control for a class of nonlinear discrete-time systems with saturating actuators. Progress in Natural Science, 18(8), 1023–1029.MathSciNetCrossRef
Zurück zum Zitat Marino, R., & Tomei, P. (1995). Nonlinear control design: Geometric adaptive and robust. Englewood Cliffs: Prentice Hall.MATH Marino, R., & Tomei, P. (1995). Nonlinear control design: Geometric adaptive and robust. Englewood Cliffs: Prentice Hall.MATH
Zurück zum Zitat Qiu, J., Feng, G., & Gao, H. (2011). Nonsynchronized-state estimation of multichannel networked nonlinear systems with multiple packet dropouts via T-S fuzzy-affine dynamic models. IEEE Transactions on Fuzzy Systems, 19(1), 75–90.CrossRef Qiu, J., Feng, G., & Gao, H. (2011). Nonsynchronized-state estimation of multichannel networked nonlinear systems with multiple packet dropouts via T-S fuzzy-affine dynamic models. IEEE Transactions on Fuzzy Systems, 19(1), 75–90.CrossRef
Zurück zum Zitat Schaft, A. J. (1992). L2-gain analysis of nonlinear systems and nonlinear state feedback H∞ control. IEEE Transactions on Automatic Control, 37(6), 770–784.CrossRefMATH Schaft, A. J. (1992). L2-gain analysis of nonlinear systems and nonlinear state feedback H control. IEEE Transactions on Automatic Control, 37(6), 770–784.CrossRefMATH
Zurück zum Zitat Sun, H., & Guo, L. (2014). Composite adaptive disturbance observer based control and back-stepping method for nonlinear system with multiple mismatched disturbances. Journal of the Franklin Institute, 351, 1027–1041.MathSciNetCrossRefMATH Sun, H., & Guo, L. (2014). Composite adaptive disturbance observer based control and back-stepping method for nonlinear system with multiple mismatched disturbances. Journal of the Franklin Institute, 351, 1027–1041.MathSciNetCrossRefMATH
Zurück zum Zitat Takagi, T., & Sugeno, M. (1985). Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man and Cybernetics, 15(1), 116–132.CrossRefMATH Takagi, T., & Sugeno, M. (1985). Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man and Cybernetics, 15(1), 116–132.CrossRefMATH
Zurück zum Zitat Tong, S. C., & Li, Y. M. (2012). Adaptive fuzzy output feedback tracking backstepping control of strict-feedback nonlinear systems with unknown dead zones. IEEE Transactions on Fuzzy Systems, 20(1), 168–180.CrossRef Tong, S. C., & Li, Y. M. (2012). Adaptive fuzzy output feedback tracking backstepping control of strict-feedback nonlinear systems with unknown dead zones. IEEE Transactions on Fuzzy Systems, 20(1), 168–180.CrossRef
Zurück zum Zitat Tong, S. C., Li, Y. M., & Shi, P. (2012). Observer-based adaptive fuzzy backstepping output feedback control of uncertain MIMO pure-feedback nonlinear systems. IEEE Transactions on Fuzzy Systems, 20(4), 771–785.CrossRef Tong, S. C., Li, Y. M., & Shi, P. (2012). Observer-based adaptive fuzzy backstepping output feedback control of uncertain MIMO pure-feedback nonlinear systems. IEEE Transactions on Fuzzy Systems, 20(4), 771–785.CrossRef
Zurück zum Zitat Wei, Y., Zheng, W. X., & Xu, S. (2015). Anti-disturbance control for nonlinear systems subject to input saturation via disturbance observer. Systems Control letters, 85, 61–69.MathSciNetCrossRefMATH Wei, Y., Zheng, W. X., & Xu, S. (2015). Anti-disturbance control for nonlinear systems subject to input saturation via disturbance observer. Systems Control letters, 85, 61–69.MathSciNetCrossRefMATH
Zurück zum Zitat Yang, J., Li, S. H., Su, J. Y., & Yu, X. H. (2013). Continuous nonsingular terminal sliding mode control for systems with mismatched disturbances. Automatica, 49(7), 2287–2291.MathSciNetCrossRef Yang, J., Li, S. H., Su, J. Y., & Yu, X. H. (2013). Continuous nonsingular terminal sliding mode control for systems with mismatched disturbances. Automatica, 49(7), 2287–2291.MathSciNetCrossRef
Zurück zum Zitat Yang, Z., & Tsubakihara, H. (2008). A novel robust nonlinear motion controller with disturbance observer. IEEE Transactions on Control Systems Technology, 16(1), 137–147.CrossRef Yang, Z., & Tsubakihara, H. (2008). A novel robust nonlinear motion controller with disturbance observer. IEEE Transactions on Control Systems Technology, 16(1), 137–147.CrossRef
Zurück zum Zitat Yao, X. M., & Guo, L. (2013). Composite anti-disturbance control for Markovian jump nonlinear systems via disturbance observer. Automatica, 49(8), 2538–2545.MathSciNetCrossRef Yao, X. M., & Guo, L. (2013). Composite anti-disturbance control for Markovian jump nonlinear systems via disturbance observer. Automatica, 49(8), 2538–2545.MathSciNetCrossRef
Zurück zum Zitat Yi, Y., Zhang, T. P., & Guo, L. (2009). Multi-objective PID control for non-Gaussian stochastic distribution system based on two-step intelligent models. Science in China-Series F: Information Sciences, 52(10), 1754–1765.MathSciNetCrossRefMATH Yi, Y., Zhang, T. P., & Guo, L. (2009). Multi-objective PID control for non-Gaussian stochastic distribution system based on two-step intelligent models. Science in China-Series F: Information Sciences, 52(10), 1754–1765.MathSciNetCrossRefMATH
Zurück zum Zitat Zhang, H. B., Shen, Y. Y., & Feng, G. (2007a). Delay-dependent stability and H∞ control for a class of fuzzy descriptor systems with time delay. Fuzzy Sets and Systems, 160(12), 1689–1707.MathSciNetCrossRefMATH Zhang, H. B., Shen, Y. Y., & Feng, G. (2007a). Delay-dependent stability and H control for a class of fuzzy descriptor systems with time delay. Fuzzy Sets and Systems, 160(12), 1689–1707.MathSciNetCrossRefMATH
Zurück zum Zitat Zhang, H. G., Yang, D. D., & Chai, T. Y. (2007b). Guaranteed cost networked control for T-S fuzzy systems with time delays. IEEE Transactions on Systems, Man and Cybernetics C, 37(2), 160–172.CrossRef Zhang, H. G., Yang, D. D., & Chai, T. Y. (2007b). Guaranteed cost networked control for T-S fuzzy systems with time delays. IEEE Transactions on Systems, Man and Cybernetics C, 37(2), 160–172.CrossRef
Zurück zum Zitat Zhang, K., Jiang, B., & Shi, P. (2012). Fault estimation observer design for discrete-time Takagi-Sugeno fuzzy systems based on piecewise Lyapunov functions. IEEE Transactions on Fuzzy Systems, 20(1), 192–200.CrossRef Zhang, K., Jiang, B., & Shi, P. (2012). Fault estimation observer design for discrete-time Takagi-Sugeno fuzzy systems based on piecewise Lyapunov functions. IEEE Transactions on Fuzzy Systems, 20(1), 192–200.CrossRef
Zurück zum Zitat Zuo, Z., Ho, D. W. C., & Wang, Y. (2010). Fault tolerant control for singular systems with actuator saturation and nonlinear perturbation. Automatica, 46, 569–576.MathSciNetCrossRefMATH Zuo, Z., Ho, D. W. C., & Wang, Y. (2010). Fault tolerant control for singular systems with actuator saturation and nonlinear perturbation. Automatica, 46, 569–576.MathSciNetCrossRefMATH
Metadaten
Titel
DOB Tracking Control for Systems with Input Saturation and Exogenous Disturbances via T-S Disturbance Modelling
verfasst von
Xiangxiang Fan
Yang Yi
Yangfei Ye
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-33581-0_35

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