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受约束的连续时间广义预测控制

Constrained Continuous-time Generalized Predictive Control
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摘要 主要针对受约束的连续时间广义预测控制,通过引入不同于有限时域性能指标的无穷时域1-范数性能指标,并对其施加不影响控制目标的终端等式约束,确定出了无穷时域性能指标的一个上界,从而将不可解的带约束的优化问题转化为可解的优化问题。最后证明了准无穷时域性能指标方法能够保证受约束的连续时间广义预测控制闭环系统的稳定性。仿真例子证明了算法的有效性。 The constrained continuous-time generalized predictive control is discussed,by using the 1-norm cost function with infinite horizon which is different from the cost function with finite horizon.An upper bound of the cost function with infinite horizon is confirmed by inflicting the end-point equality constraints on it.The unsolvable optimal problem with constraints is transformed into a solvable optimal problem.Finally the quasi-infinite horizon approach is presented to guarantee the closed loop stability of constrained continuous-time generalized predictive control.Simulation result shows the effectiveness of the algorithm.
作者 刘芳 刘晓华
机构地区 滨州医学院卫生管理学院 鲁东大学数学与信息学院
出处 《控制工程》 CSCD 北大核心 2010年第3期343-345,350,共4页 Control Engineering of China
基金 国家自然科学基金资助项目(60774016)
关键词 连续时间系统 受约束的广义预测控制 准无穷时域 1-范数性能指标 稳定性 continuous-time system constrained generalized predictive control quasi-infinite horizon 1-norm cost function stability
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]
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参考文献13

  • 1Clarke D W, Mohtadi C ,Tufts P S. Generalized predictive control partl and 2 [ J]. Automatica, 1987,23 ( 2 ) : 137-160.
  • 2Demircoiglu H, Clarke D W. Generalized predictive control with end point weighting [ J ]. IEE Proc-D, 1993,140 ( 4 ) : 275-282.
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二级参考文献8

  • 1Clarke D W , Mohtadi C , Turfs P S . Generalized predictive control: Part 1 &2[J]. Automatica, 1987, 23(1) : 137-160.
  • 2Demircoiglu H, Gawthrop P J. Continuous-time generalized predictive control[J]. Automatica, 1991, 27 (1) : 55-74.
  • 3Demircoiglu H, Ercan Karasu. Generalized predictive control: A practical application and comparison of discrete and continuous-time versions[J]. IEEE Control Systems Magazine, 2000, 10(1): 36-47.
  • 4Demircoiglu H, Clarke D W. Generalized predictive control with end point weighting[J]. IEE Proc D, 1993, 140(4) : 275-282.
  • 5Kouvaritakis B, Rossiter J A, Chang A O T, Stable generalized predictive control: An algorithm with guaranteed stability[J]. IEE Proc D, 1992, 139 (4) : 349- 362.
  • 6Pierre O M. Scokaert Infinite horizon generalized predictive control[J]. Int J of Control, 1997, 66 (1): 161-175.
  • 7Demircoiglu H, Clarke D W. CGPG with guaranteed stability properties[J]. IEE Proc D, 1992, 139 (4): 371-380.
  • 8王伟,杨建军.广义预测控制:理论、算法与应用[J].控制理论与应用,1997,14(6):777-786. 被引量：42

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控制工程
2010年 第3期

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