非对称输入饱和下的非仿射不确定系统自抗扰反演控制
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(海军航空大学青岛校区,山东青岛266041)

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E-mail: 547645462@qq.com.

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TP273

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国家自然科学基金项目(51505491).


Active disturbance rejection backstepping control for uncertain nonaffine systems with asymmetrical input saturation
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(Qingdao Campus,Naval Aeronautical University,Qingdao266041,China)

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    摘要:

    针对一类具有内部动态和外部扰动未知以及非对称输入饱和约束的非仿射系统,提出一种自抗扰反演控制方法.首先基于自抗扰控制思想,通过直接从非仿射项中提取线性控制项,将非仿射系统转化为仿射非线性形式.在此基础上, 在每一步反演控制器设计中,引入扩张状态观测器对系统总的不确定项进行估计,引入跟踪微分器解决虚拟导数的“计算膨胀”问题.在设计真实控制律时,利用双曲正切函数设计一种辅助补偿系统,用来处理输入饱和引起的控制量偏差.基于Lyapunov稳定性定理证明了闭环系统的所有信号有界且跟踪误差可渐近收敛到原点的任意小邻域内.仿真比较结果验证了所提出方法的有效性,体现了一定的工程应用价值.

    Abstract:

    An active disturbance rejection backstepping control(ADRBC) approach is proposed for a class of nonaffine systems with dynamical and external uncertainties subject to asymmetrical input saturation. Firstly, by extracting linear control items directly from the nonaffine terms, the nonaffine system is transformed into an affine nonlinear form based on the ADRC ideal. Then during every step of backstepping controller design, an extended state observer is introduced to estimate the total uncertainty of the system, and a tracking differentiator is used to solve the ‘computer explosion’ problem of virtual derivatives. Finally, a novel auxiliary system is designed utilizing hyperbolic tangent function to compensate the control variable deviation caused by input saturation when designing the real control law. According to the Lyapunov stability theorem, it is proved that all signals in the closed-loop system are bounded, and the tracking error can asymptotically converge to an arbitrarily small region of the origin. Numerical simulation results show the effectiveness and a certain engineering application value of the proposed approach.

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高阳,吴文海,张杨.非对称输入饱和下的非仿射不确定系统自抗扰反演控制[J].控制与决策,2020,35(4):885-892

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  • 在线发布日期: 2020-03-03
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