基于双层约束结构的不确定系统低复杂度预设时间跟踪控制
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作者单位:

空军工程大学

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中图分类号:

TP273

基金项目:

国家自然科学基金项目(面上项目,重点项目,重大项目)


Dual layer C onstraint S tructure based L ow c omplexity P re set time T racking C ontr ol for U ncertain S ystems
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Affiliation:

Aviation Engineering School, Air Force Engineering University

Fund Project:

the National Natural Science Foundation of China

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    摘要:

    针对具有全状态非对称时变约束的不确定严反馈系统控制问题,本文首次提出了一种具有双层约束结构的低复杂度预设时间跟踪控制方法。首先,采用约束转换函数直接对系统状态施加约束条件,将状态约束问题转换为无约束状态的调节问题,消除了可行性条件。其次,结合预设时间性能函数,提出一种新的坐标变换方法,对变换后的状态和跟踪误差进行重构,从而完成了双层约束结构,内层约束用以处理系统约束状态,外层约束用以设计虚拟控制和实际控制信号,有效解决了当系统状态接近约束边界时中产生的奇异性问题。最后,通过仿真结果验证了所提方案的有效性。

    Abstract:

    To address the issue of uncertain strict-feedback systems with full state asymmetric and time-varying constraints, a low-complexity pre-set time tracking scheme based on a dual-layer constraint structure is first presented in this article. Firstly, the constraint transformation function is constructed to implement constraints on states of the system directly, which transforms state constraints problem into the new states bounded problem, removing the feasibility conditions. Secondly, combining with a pre-set time function, a new coordinate transformation is introduced to construct the states and tracking errors, thereby, the dual-layer constrain structure is completed, in which the inner boundaries are used to deal with the constrained states and the virtual control and actual control signals are designed through the outer boundaries. Therefore, the potential singularity problem caused by the states approaching constraint boundaries is solved. Finally, the simulation results are presented to verify the effectiveness of the proposed scheme.

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历史
  • 收稿日期:2024-07-06
  • 最后修改日期:2024-09-06
  • 录用日期:2024-09-09
  • 在线发布日期: 2024-09-13
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