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输入受限的线性系统优化控制器设计

Optimal Controller Design for Input Constrained Linear System
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摘要 输入受限的线性系统优化控制器,基于代数Riccati方程(ARE)设计了复合非线性反馈控制(CNF)。该方法先考虑输入具有饱和非线性的线性系统一般形式,再通过构造低增益部分、高增益非线性部分及复合非线性控制律三步完成设计。将常参数形式的高增益部分设计为非线性函数,可获得更好的性能。其仿真通过某航天器的数学模型设计合适的复合非线性反馈控制控制律,并调节相关参数,达到了较满意的效果。 Based on the ARE (algebraic Riccati equation) method, a CNF (composite nonlinear feedback) controller was proposed for the input constrained linear system optimal controller. The normal form of the linear systems with input saturation was considered; and then the control law was designed by constructing low-gain, high-gain and CNF gradually. For better performances of the whole system, the high-gain part was selected as a nonlinear function. The simulation for an aircraft model was given and the priority was shown by parameters regulation.
出处 《兵工自动化》 2006年第12期59-60,69,共3页 Ordnance Industry Automation
基金 国家自然科学基金项目(60404006)
关键词 控制器 输入受限 优化控制 复合非线性反馈控制 代数RICCATI方程 飞行器 Controller Input-constrained Optimal control Composite nonlinear feedback control Algebraic Riccati equation Aircraft
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参考文献4

  • 1Yang Y. Global Stabilization of Linear Systems with Bounded Feedback. PhD Dissertation Dutgers University,1993.
  • 2Lin+Z Semiglobal Exponential Stabilization of Linear Systems Subject to Input Saturation Via Linear Feedback.Syst. Let 1993, 21:225-239
  • 3Lin Z. Global Control of Linear Systems with Saturating Actuators. Automatica, 1998, 34 (7): 897-905.
  • 4Gilbert G Elmer and Kok Tin Tan. Linear System with State and Control Constraints: the Theory and Application of Maximal Output Admissible Sets. IEEE Trans.Automatic. Control, 1991, 36: 1008-1019.

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