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首页> 外文期刊>IEEE Transactions on Automatic Control >Output-Feedback Control of an Extended Class of Sandwiched Hyperbolic PDE-ODE Systems
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Output-Feedback Control of an Extended Class of Sandwiched Hyperbolic PDE-ODE Systems

机译：扩展类夹层双曲线PDE-ode系统的输出反馈控制

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摘要

Motivated by an engineering application in brake control of cable mining elevators, where the dynamics consist of a brake, a shock absorber, a time-varying-length cable, and a cage, we address a theoretical problem of control of a particular class of coupled hyperbolic PDEs sandwiched between a nonlinear ODE on the actuated side and a linear ODE on the opposite side, with a PDE domain that is time-varying. A state-feedback controller entering a single ODE state is designed to exponentially stabilize the overall system through several backstepping transformations. An observer which only uses the boundary values at the actuated side is constructed to recover all the states of the overall system, based on which a "collocated" type output-feedback control system is proposed. The global exponential stability of the closed-loop system, boundedness, and exponential convergence of the controller, are proved via Lyapunov analysis. The performance is investigated via numerical simulation.
机译：通过工程应用在电缆采矿电梯的制动控制中的动机，其中动力学包括制动器，减震器，时变长度电缆和笼子，我们解决了控制特定耦合的理论问题 双曲线PDE夹在致动侧的非线性ode和相对侧的线性ode之间，具有时变的PDE结构域。 进入单个ode状态的状态反馈控制器旨在通过几个BackStepping变换对整个系统进行指向稳定。 仅构造仅使用致动侧的边界值的观察者以恢复整个系统的所有状态，基于该整个系统的所有态，基于该整体系统的所有态提出了一个“并置”型输出反馈控制系统。 通过Lyapunov分析证明了控制器的闭环系统，界限和指数收敛的全局指数稳定性。 通过数值模拟来研究性能。

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