论文标题
基于观察者的状态反馈港口港口控制器的线性矩阵不平等设计的设计
Linear Matrix Inequality Design of Exponentially Stabilizing Observer-Based State Feedback Port-Hamiltonian Controllers
论文作者
论文摘要
使用线性矩阵不平等（LMIS）来解决基于观察者的状态反馈（OBSF）控制器，该控制器具有保证的港口 - 哈米顿系统（PHS）的被动性特性。观察者的增益是自由选择的，LMIS条件是通过与输入严格被动（ISP）互连和/或输出严格被动（OSP）和可检测到的零状态（ZSD） - 港口 - 汉密尔顿港口控制器的输入。结果表明，所提出的控制器成倍稳定了一类无限二二级pHS，并渐近地稳定了一类有限维的非线性pHS。 Timoshenko梁模型和微电机械系统用于说明所提出的方法。
The design of an observer-based state feedback (OBSF) controller with guaranteed passivity properties for port-Hamiltonian systems (PHS) is addressed using linear matrix inequalities (LMIs). The observer gain is freely chosen and the LMIs conditions such that the state feedback is equivalent to control by interconnection with an input strictly passive (ISP) and/or an output strictly passive (OSP) and zero state detectable (ZSD) port-Hamiltonian controller are established. It is shown that the proposed controller exponentially stabilizes a class of infinite-dimensional PHS and asymptotically stabilizes a class of finite-dimensional non-linear PHS. A Timoshenko beam model and a microelectromechanical system are used to illustrate the proposed approach.
