HU Zhou, WANG Zhisheng. Robust Information Fusion Control for a Class of Nonlinear Discrete-time Systems[J]. INFORMATION AND CONTROL, 2014, 43(5): 578-582. DOI: 10.13976/j.cnki.xk.2014.0578
Citation: HU Zhou, WANG Zhisheng. Robust Information Fusion Control for a Class of Nonlinear Discrete-time Systems[J]. INFORMATION AND CONTROL, 2014, 43(5): 578-582. DOI: 10.13976/j.cnki.xk.2014.0578

Robust Information Fusion Control for a Class of Nonlinear Discrete-time Systems

More Information
  • Received Date: March 25, 2013
  • Revised Date: March 05, 2014
  • Published Date: October 19, 2014
  • A nonlinear robust information fusion control method is proposed for the control problems of a class of nonlinear discrete-time systems with matching disturbances. By adding a constraint on the disturbance in the performance index function, we convert the robust control problem into an optimal control problem, and then solve it with the information fusion control method. After the conversion process, using the information fusion control method can not only avoid the necessity of solving the nonlinear Riccati equation in the traditional optimal control problem, but also make the control system have a certain robust performance. The method depends on the discrete model of the controlled system, and is easily applied to engineering practices. The simulation results based on the model of two degrees of freedom in a mechanical arm verify the effectiveness of the robust information fusion control algorithm.
  • [1]
    Wang Z, Ho D W C, Liu Y, et al. Robust Hcontrol for a class of nonlinear discrete time-delay stochastic systems with missing measurements[J]. Automatica, 2009, 45(3): 684-691.
    [2]
    Hennequin S, Bouyekhf R. Suboptimal control and stability of nonlinear discrete-time systems[J]. Journal of the Franklin Institute, 2000, 337(1): 73-83.
    [3]
    Magni L, Scattolini R. Robustness and robust design of MPC for nonlinear discrete-time systems[M]//Assessment and Future Directions of Nonlinear Model Predictive Control. Berlin, Germany: Springer, 2007: 239-254.
    [4]
    Zhang Y, Wen C, Soh Y C. Discrete-time robust back-stepping adaptive control for nonlinear time-varying systems[J]. IEEE Transactions on Automatic Control, 2000, 45(9): 1749-1755.
    [5]
    Meng D, Jia Y, Du J, et al. Robust discrete-time iterative learning control for nonlinear systems with varying initial state shifts[J]. IEEE Transactions on Automatic Control, 2009, 54(11): 2626-2631.
    [6]
    Tseng C S, Chen B S. Robust fuzzy observer-based fuzzy control design for nonlinear discrete-time systems with persistent bounded disturbances[J]. IEEE Transactions on Fuzzy Systems, 2009, 17(3): 711-723.
    [7]
    Lee C H, Chen C Y. Robust stability analysis of discrete time-delay systems subjected to nonlinear uncertainties[C]//Proceedings of 5th IEEE International Conference on Biomedical Engineering and Informatics. Piscataway, NJ, USA: IEEE, 2012: 1245-1249.
    [8]
    Wang W, Ma S, Wang J, et al. Robust stability and stabilization for nonlinear uncertain discrete-time descriptor switched systems[C]//Proceedings of 24th IEEE Conference on Control and Decision. Piscataway, NJ, USA: IEEE, 2012: 4025-4030.
    [9]
    Wang Z S, Wang D B, Zhen Z Y. Primary exploration of nonlinear information fusion control theory[J]. Science in China, Series F: Information Sciences, 2007, 50(5): 686-696.
    [10]
    甄子洋, 王志胜, 王道波. 基于信息融合最优估计的非线性离散系统预测控制[J]. 自动化学报, 2008, 34(3): 331-336. Zhen Z Y, Wang Z S, Wang D B. Predictive control based on information fusion optimal estimation for nonlinear discrete system[J]. Acta Automatica Sinica, 2008, 34(3): 331-336.
    [11]
    甄子洋, 王志胜, 王道波. 基于误差系统的信息融合最优预见跟踪控制[J]. 控制理论与应用, 2009, 26(4): 425-428. Zhen Z Y, Wang Z S, Wang D B. Optimal preview tracking control based on information fusion in error system[J]. Control Theory & Applications, 2009, 26(4): 425-428.
    [12]
    甄子洋, 王志胜, 王道波. 基于信息融合估计的离散线性系统预见控制[J]. 自动化学报, 2010, 36(2): 347-352. Zhen Z Y, Wang Z S, Wang D B. Information fusion estimation based preview control for discrete linear system[J]. Acta Automatica Sinica, 2010, 36(2): 347-352.
    [13]
    王志胜. 时滞非线性离散动态系统最优控制的信息融合估计方法[J]. 控制理论与应用, 2008, 25(3): 538-542. Wang Z S. Optimal control for time-delayed nonlinear discrete system based on IFE method[J]. Control Theory & Applications, 2008, 25(3): 538-542.
    [14]
    甄子洋, 江驹, 王志胜, 等. 有限时间信息融合线性二次型最优控制[J]. 控制理论与应用, 2012, 29(2): 172-176. Zhen Z Y, Jiang J, Wang Z S, et al. Finite-time information fusion for linear quadratic optimal control[J]. Control Theory & Applications, 2012, 29(2): 172-176.
    [15]
    Zhen Z Y, Jiang J, Wang X H, et al. Information fusion-based optimal attitude control for an alterable thrust direction unmanned aerial vehicle[J]. International Journal of Advanced Robotic Systems, 2013, 43(1): 1-9.
    [16]
    Wang Z S, Liu W J, Zhen Z Y. Design of optimal tracking controller for nonlinear discrete system with input delay using information fusion estimation method[C]//IEEE International Conference on Control and Automation. Piscataway, NJ, USA: IEEE, 2007: 2535-2538.
    [17]
    Wang Z S, Zhen Z Y. Information fusion based optimal decentralized control for stochastic largescale system[C]//Proceedings of 27th Chinese Control Conference. Piscataway, NJ, USA: IEEE, 2008: 694-698.
    [18]
    Zhen Z Y, Wang Z S, Hu Z. Information fusion based solving method for linear quadratic optimal control problem[C]//Proceedings of 7th International Conference on Control and Automation. Piscataway, NJ, USA: IEEE, 2009: 727-731.
    [19]
    王志胜, 姜斌, 甄子洋. 融合估计与融合控制[M]. 北京: 科学出版社, 2009: 233-236. Wang Z S, Jiang B, Zhen Z Y. Fusion estimation and fusion control[M]. Beijing: Science Press, 2009: 233-236.
    [20]
    Chen Z, Jagannathan S. Neural network-based nearly optimal Hamilton-Jacobi-Bellman solution for affine nonlinear discrete-time systems[C]//Proceedings of 44th IEEE Conference on Decision and Control. Piscataway, NJ, USA: IEEE, 2005: 4123-4128.

Catalog

    Article views (1995) PDF downloads (337) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return