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一类分段线性混杂系统的最优控制策略研究 被引量：2

Study on optimal control strategy for a class of piecewise linear hybrid systems
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摘要 针对连续模态驻留的时延是确定性的分段线性混杂系统最优控制问题 ,首先给出该类混杂系统模型 ,采用一种新方法 ,即混合动态规划方法来研究混杂系统的最优控制。然后利用 L yapunov方法证明采用这种控制策略时混杂系统的稳定性。最后通过一个数值例子来说明所提出方法的有效性。 The model of hybrid systems restricted to time-deterministic discrete transitions is presented. The quadratic optimal control problem for the hybrid systems is investigated based on mixed dynamical programming methods. The stability of the closed-loop hybrid systems is proved by Lyapunov method. A numerical example illustrates the effectiveness of the design approach.
作者 翟海峰 苏宏业 董利达 王肖 褚健
机构地区 浙江大学工业控制技术国家重点实验室
出处 《控制与决策》 EI CSCD 北大核心 2002年第6期863-866,875,共5页 Control and Decision
基金 国家杰出青年基金项目 (6 0 0 2 5 30 8) 高等学校优秀青年教学和科研奖励基金项目
关键词 分段线性混杂系统 最优控制策略 LYAPUNOV稳定性 离散事件系统 Dynamic programming Lyapunov methods Optimal systems Optimization System stability Theorem proving
分类号 TP271.8 [自动化与计算机技术—检测技术与自动化装置] O232 [理学—运筹学与控制论]
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参考文献8

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同被引文献15

  • 1Savkin A V,Evans R J.A new approach to robust control of hybrid systems over infinite time[J].IEEE Transactions on Automatic Control,2001,43(9):1292-1296
  • 2Manon P,Valentin-Roubinet C,Gilles G.Optimal control of hybrid dynamical systems:application in process engineering[J].Control Engineering Practice,1998,10(2):133-149
  • 3Abdelhameed Magdy M,Pinspon Unnat.Adaptive learning algorithm for Cerebella model articulation controller[J].Mechatronics,2002,12(6):859-873
  • 4Guo Chen,Ye Zhen,Sun Zengqi.A hybrid fuzzy cerebellar model articulation controller based autonomous controller[J].Computers and Electrical Engineering,2002,28(1):1-16
  • 5Li Xiu-gai,Gao Dong-jie,Wang Yu-hong.Model predictive control for a class of hybrid system based on linear programming[J].Intelligent Control and Automation,2002,10(1):300-304
  • 6Heemels W P M H,De Schutter B,Bemporad A.Equivalence of Hybrid Dynamical Models[J].Automatica,2001,37(7):1085-1091.
  • 7Rantzer A,Johansson M.Piecewise Linear Quadratic Optimal Control[J].IEEE Trans on Automatic Control,2000,45(4):629-637.
  • 8Imura Jun-ichi.Optimal Control of Sampled-data[J].Automatica,2004,40(4):661-669.
  • 9De Schutter B,Van Den Boom T J J.MPC for Continuous Piecewise Affine Systems[J].Systems and Control Letters,2004,52(3):179-192.
  • 10Bemporad A,Morari M.Control of Systems Integrating Logic,Dynamics and Constraints[J].Automatica,1999,35(3):407-427.

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控制与决策
2002年 第6期

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