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首页> 外文期刊>IEEE Transactions on Automatic Control >Design of Integral Controllers for Nonlinear Systems Governed by Scalar Hyperbolic Partial Differential Equations
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Design of Integral Controllers for Nonlinear Systems Governed by Scalar Hyperbolic Partial Differential Equations

机译：标量双曲型偏微分方程控制的非线性系统积分控制器的设计

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The paper deals with the control and regulation by integral controllers for the nonlinear systems governed by scalar quasi-linear hyperbolic partial differential equations. Both the control input and the measured output are located on the boundary. The closed-loop stabilization of the linearized model with the designed integral controller is proved first by using the method of spectral analysis and then by the Lyapunov direct method. Based on the elaborated Lyapunov function, we prove local exponential stability of the nonlinear closed-loop system with the same controller. The output regulation to the set-point with zero static error by the integral controller is shown upon the nonlinear system. Numerical simulations by the Preissmann scheme are carried out to validate the robustness performance of the designed controller to face to unknown constant disturbances.
机译：本文研究了由标量拟线性双曲型偏微分方程控制的非线性系统的积分控制器控制和调节。控制输入​​和测量输出都位于边界上。首先通过频谱分析方法证明了线性化模型的闭环稳定，然后通过Lyapunov直接方法证明了线性化模型的闭环稳定。基于详细的Lyapunov函数，我们证明了具有相同控制器的非线性闭环系统的局部指数稳定性。在非线性系统上显示了积分控制器对零静态误差设定点的输出调节。通过Preissmann方案进行了数值模拟，以验证所设计控制器面对未知恒定扰动的鲁棒性。

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