| 带有模型不确定性的连续时间广义预测控制 |
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| 引用本文： | 刘芳,;刘晓华,;许国纯.带有模型不确定性的连续时间广义预测控制[J].烟台师范学院学报(自然科学版),2008(1). |
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| 作者姓名： | 刘芳 ;刘晓华 ;许国纯 |
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| 作者单位： | [1]滨州医学院卫生管理学院; [2]鲁东大学科研处; [3]鲁东大学外事处,山东烟台264003 |
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| 基金项目： | 山东省自然科学基金(Y2005G01) |
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| 摘 要： | 针对模型不确定系统的连续时间广义预测控制,引入无穷时域的性能指标使闭环系统达到稳定.用递推最小二乘法估计系统的未知参数,在每个采样点基于估计的状态模型来计算控制输入.通过施加新的终端等式约束,将无穷时域性能指标的优化问题转化成可解的二次规划问题.利用后退时域性能指标的单调性证明,给出使连续时间广义预测控制达到闭环稳定的条件.仿真算例验证了算法的有效性.
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| 关 键 词： | 连续时间系统 广义预测控制 模型不确定性 性能指标 渐近稳定性 |
Continuous-time Generalized Predictive Control with Model Uncertainty |
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| Institution: | LIU Fang1; LIU Xiao-hua2; XU Guo-chun3(1.School of Health Management; Binzhou Medical University; Yantai 264003; China; 2.Scientific Research Department; 3.Foreign Affairs Division; Ludong University; Yantai 264025; China); |
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| Abstract: | The cost function with infinite horizon is introduced in order to guarantee the closed-loop stability of the generalized predictive control with model uncertainty.The system parameters are estimated by using least-squares estimator,and the control input is calculated based on the estimated system model at each sampling instant.The optimal problem which has a cost function with infinite horizon can be transformed into a solvable quadric programming one,if the new end-point equality constraints is appended.Th... |
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| Keywords: | continuous-time system generalized predictive control model uncertainty cost function asymptotic stability |
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