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連續時間系統的目標軌跡預見跟蹤控制

Preview tracking control of project trajectories for continuous-time systems

  • 摘要: 針對連續系統的有限時間目標軌跡預見跟蹤控制問題,給出了基于軌跡協調誤差和切換規則的預見跟蹤控制方法.該方法首先將軌跡協調誤差和位置跟蹤誤差連同狀態變量的微分組成新的系統狀態變量,把跟蹤問題轉化為調節問題,設計了基于協調誤差的帶有目標值預見的跟蹤控制系統.然后針對復雜目標軌跡跨過不同坐標軸的情況,采用切換系統方法,實現了目標軌跡的全程預見跟蹤控制.本文同時是子系統為時變系統的切換系統的典型范例.數值仿真說明了該方法的有效性.

     

    Abstract: A preview tracking control method based on tracking reconciliation error and switch rules was provided to deal with the preview tracking control problem of time-limited objective trajectories in continuous-time systems.This method consists of the following steps.First,the trace reconciliation error,the position tracking error,and the derivative of the state variable are combined into a new system state variable,which transforms the tracking problem into a regulator problem and builds a tracking control system with an objective value preview based on reconciliation error.Second,by means of switching systems,the problem of complicated objective trajectories crossing over different coordinate axes is solved.This leads to the global preview tracking control of objective trajectories.In addition,the paper is also a typical example whose subsystem is a time-varying switching system.Numerical simulation results demonstrate the effectiveness of the suggested method.

     

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