DSC  >> Vol. 6 No. 2 (April 2017)

    A Class of Algorithms of Output Feedback Predictive Control of Finite-Time Stability

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梁秀兰,刘晓华:鲁东大学数学与统计科学学院,山东 烟台

模型预测控制有限时间稳定动态输出反馈线性矩阵不等式Model Predictive Control Finite-Time Stability Dynamic Output Feedback Linear Matrix Inequality



This paper researches the finite-time stable predictive control problem for a class of discrete-time linear time invariant system. Firstly, the definition of finite-time stable predictive control is given. Then by constructing Lyapunov function, minimization-optimization problems of finite-time domain are converted into positive semi-definite programming problems with linear matrix inequality constraints. Using linear matrix inequality approach, a sufficient condition for the existence of output feedback control law is presented. It is proved that the optimization problems is finite-time stable when the feasible condition of closed-loop systems is guaranteed. Finally, a simulation example demonstrates the effectiveness of the proposed method.

梁秀兰, 刘晓华. 一类有限时间稳定的输出反馈预测控制算法[J]. 动力系统与控制, 2017, 6(2): 43-53. https://doi.org/10.12677/DSC.2017.62006


[1] Xue, W.P. and Mao, W.J. (2013) Asymptotic Stability and Finite-Time Stability of Networked Control Systems: Analysis and Synthesis. Asian Journal of Control, 15, 1376-1384.
[2] Dorato, P. (1961)Short Time Stability in Linear Time-Varying Systems. Proceedings of the IRE International Convention Record Part 4, New York, 9 May 1961, 83-87.
[3] San, F. and Dorato, P. (1974) Short-Time Parameter Optimization with Fight Control Application. Automatica, 10, 425-430.
[4] Garcia, G., Tarbouriech, S. and Bernussou, J. (2009) Fi-nite-Time Stabilization of Linear Time-Varying Continuous Systems. IEEE Transactions on Atomatic Control, 54, 364-368.
[5] Lin, X.Z., Du, H.B. and Li, S.H. (2011) Uniform Fi-nite-Time Stability and Feedback Stabilization for Discrete-Time Switched Linear Systems and Its Application to Networked Control Systems. Control and Decision, 26, 841-846.
[6] Weiss, L. and Infante, E.F. (1965) On the Sta-bility of Systems Defined over a Finite Time Interval. Proceedings of the National Academy of Sciences, 54, 44-48.
[7] Dorato, P. (2005) An Overview of Finite-Time Stability. Current Trends in Nonlinear Systems and Control. Birkhauser, Boston, 185-194.
[8] Amato, F., Ariola, M. and Dorato P. (2001) Finite-Time Control of Linear Systems Subject to Parametric Uncertainties and Disturbances. Automatica, 37, 1459-1463.
[9] Amato, F., Ariola, M., Amato, F., Ariola, M. and Cosentino, C. (2006) Finite Time Stabilization via Dynamic Output Feedback. Automatica, 42, 337-342.
[10] Amato, F., Ariola, M. and Cosentino, C. (2010) Finite-Time Control of Discrete-Time Linear Systems: Analysis and Design Conditions. Automatica, 46, 919-924.
[11] Haddad, W.M. and L’Afflitto, A. (2015) Finite-Time Partial Stability and Stabilization and Optimal Feedback Control. Journal of the Franklin Institute, 352, 2329-2357.
[12] Wang, L. and Shen, Y. (2016) Finite-Time Robust Stabilization of Uncertain Delayed Neural Networks with Discontinuous Activations via Delayed Feedback Control. The Official Journal of the International Neural Network Society, 76, 46-54.
[13] 严志国, 张国山. 线性随机系统有限时间H∞控制[J]. 控制与决策, 2011, 26(8): 1224-1228.
[14] 席裕庚, 耿晓军, 陈虹. 预测控制性能研究的新进展[J]. 控制理论与应用, 2000, 17(4): 469-475.
[15] Amato, F. and Ariola, M. (2005) Finite-Time Control of Discrete-Time Linear Systems. IEEE Transactions on Automatic Control, 50, 724-729.
[16] Yaz, E.E. (1998) Linear Matrix Inequalities in System and Control Theory. Proceeding of the IEEE, 86, 2473-2474.
[17] Gahinet, P. (1994) Explicit Controller Formulas for LMI-Based H∞ Synthesis. Automatica, 32, 1007-1014.
[18] Kothare, M.V., Balakrishnan, V. and Morari, M. (1994) Robust Con-strained Model Predictive Control Using Linear Matrix Inequalities. American Control Conference IEEE, Baltimore, 29 June-1 July 1994, 440-444.