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多输入多输出复杂时滞系统的预测函数控制及其鲁棒D稳定性条件

Predictive functional control and robust D-stability condition for MIMO systems with multiple time-delay
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摘要 针对多输入多输出被控过程同时存在状态滞后和控制输入滞后问题,利用预测函数控制算法对预测模型没有特殊要求和在线计算量小的特点,基于预测函数控制设计机理得到系统的控制律.在标称情况下,反馈控制律可表示为无记忆反馈和带记忆反馈的叠加形式.在假设不含时滞标称系统解析的条件下,应用最大模定理和矩阵谱半径性质,给出存在状态滞后和控制输入滞后结构参数摄动不确定系统鲁棒D稳定的充分条件.数值实验和仿真实验验证了所给方法的有效性. By taking advantages of little online computation and loose requirement for the predictive model of the predictive functional control algorithm, a predictive algorithm is proposed for multi-input and multi-output systems with state delays and input delays. In the nominal case, a state feedback control law is obtained in the form of the sum of the memoryless and memory state feedback. Under the assumption that the linear delay-free nominal system is analytic, by utilizing the maximum modulus principle and spectral radius of matrices, a sufficient condition is given to guarantee Dstability of the system while there exist structure parameter perturbations. The numerical example and simulations are provided to prove the efficiency of the presented method.
作者 张彬 张卫东
机构地区 上海交通大学自动化系
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2006年第1期108-114,共7页 Control Theory & Applications
基金 国家自然科学基金资助项目(60274032) 高校博士点基金资助项目(20030248040)
关键词 多重时滞 鲁棒D稳定 预测函数控制 结构参数摄动 multiple time delays robust D-stable predictive functional control structure parameter perturbations
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献11

  • 1XU S Y,LAM J,ZHANG L Q.Robust D-stability analysis for uncertain discrete singular systems with state delay [J].IEEE Trans on Circuit and Systems Ⅰ,2002,49(4):551-555.
  • 2XU S Y,CHEN T W.Robust H∞ control for uncertain discrete-time systems with time-varying delays via exponential output feedback controllers [J].Systems & Control,2004,51(3-4):171-183.
  • 3姜偕富,徐文立.线性不确定时滞系统鲁棒指数镇定[J].清华大学学报（自然科学版）,2004,44(7):997-1000. 被引量：4
  • 4CHEN S H.Robust D-stability analysis for linear discrete-time singular systems with structured parameter uncertainties and delayed perturbations [J].Proc of Institution of Mechanical Enginears,Part Ⅰ:J Systems and Control Engineering,2003,217(1):1-5.
  • 5JONG H K,EUN T J,HONG B P.Robust control for parameter uncertain delay systems in state and control input [J].Automatica,1996,32 (9):1337-1339.
  • 6CHEN S H,CHOU J H.D-stability robustness for linear discrete uncertain singular systems with delayed pertrbations [J].Int J Control,2004,77(7):685-692.
  • 7ORTEGA J M.Numerical Analysis [M].New York:Academic Press,1972.
  • 8CHEN K H.Robust analysis and design of muti-loop control systems [D].Taiwan:National Tsing-Hua University,1984.
  • 9RICHALET J.Industrial application of model based predictive control [J].Automatica,1993,29(5):1251-1270.
  • 10ERNST T E F H C.First principle modeling and predictive functional control ofenthalpic processes [R].France:Delft University of Technology,1996.

二级参考文献11

  • 1Kharitonov V L, Zhabko A P. Lyapunov-Krasovskii approach to the robust stability analysis of time-delay systems [J]. Automatica, 2003, 39: 15-20.
  • 2Niculescu S I. H∞ memoryless control with an α-stability constraint for time-delay systems: An LMI approach [J]. IEEE Trans AC, 1998, 43(5): 739-743.
  • 3Shaked U, Yaesh I, de Souza C E. Bounded real criteria for linear time-delay systems [J]. IEEE Trans AC, 1998, 43(7): 1016-1021.
  • 4Lu Chien-Yu, Tsai J Sheng-Hong, Jong Gwo-Jia, et al. An LMI-based approach for robust stabilization of uncertain stochastic systems with time-varying delays [J]. IEEE Trans AC, 2003, 48(2): 286-289.
  • 5Cao Yong-Yan, Sun You-Xian. Robust stabilization of uncertain systems with time-varying multistate delay [J]. IEEE Trans AC, 1998, 43(10): 1884-1488.
  • 6Jeung Eun Tae, Oh Do Chang, Kim Jong Hae, et al. Robust controller design for uncertain systems with time delays: LMI approach [J]. Automatica, 1996, 32(8): 1229-1231.
  • 7Kim Jong Hae, Jeung Eun Tae, Park H B. Robust control for parameter uncertain delay systems in state and control input [J]. Automatica, 1996, 32(9): 1337-1339.
  • 8Kim Jong Hae, Park H B. H∞ state feedback control for generalized continuous/discrete time-delay system [J]. Automatica, 1999, 35: 1443-1451.
  • 9XU Bugong. Delay-independent stability criteria for single and composite linear systems with multiple time-varying delays [J]. Control Theorem and Applications, 1999, 16(3): 373-379.
  • 10Petersen I R, Anderson B D O, Jonckheere E A. A first principle solution to the non-singular H∞ control problem [J]. Int J Robust and Nonlinear Control, 1991, 1: 171-185.

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控制理论与应用
2006年 第1期

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