论文标题
部分可观测时空混沌系统的无模型预测
A Dynamic Observer for a Class of Infinite-Dimensional Vibrating Flexible Structures
论文作者
论文摘要
在具有广义坐标的哈密顿公式中考虑了带有输出的无限维控制系统。提出了一种使用任意增益系数为此类别系统构建动态观察者的明确方案。根据不变性原理获得了构造观察者收敛的足够条件。该结果应用于连接到带有集体和分布的执行器的质量弹簧系统的柔性梁模型。用观察者动力学的有限维近似值的数值模拟说明了估计误差衰减。
Infinite-dimensional control systems with outputs are considered in the Hamiltonian formulation with generalized coordinates. An explicit scheme for constructing a dynamic observer for this class of systems is proposed with arbitrary gain coefficients. Sufficient conditions for the convergence of the constructed observer are obtained on the basis of the invariance principle. This result is applied to a flexible beam model attached to a mass-spring system with lumped and distributed actuators. The estimation error decay is illustrated with numerical simulations of finite-dimensional approximations of the observer dynamics.
