论文标题
对具有二次输出的线性系统的状态估计
State Estimation for a Class of Linear Systems with Quadratic Output
论文作者
论文摘要
本文讨论了具有二次输出测量值的一类线性时间不变系统的状态估计问题。提出了一种沉浸式类型的方法，该方法通过向原始系统添加有限数量的状态将系统转化为状态系统系统。在投入及其较高衍生物的兴奋条件持续存在下，通过卡尔曼型观察者展示了全球状态估计。提供了一个数值示例，以说明提出的观察者设计对于使用单个位置范围测量的$ n- $ dimensional Euclidean空间导航的位置问题和速度估计问题的适用性。
This paper deals with the problem of state estimation for a class of linear time-invariant systems with quadratic output measurements. An immersion-type approach is presented that transforms the system into a state-affine system by adding a finite number of states to the original system. Under suitable persistence of excitation conditions on the input and its higher derivatives, global state estimation is exhibited by means of a Kalman-type observer. A numerical example is provided to illustrate the applicability of the proposed observer design for the problem of position and velocity estimation for a vehicle navigating in the $n-$dimensional Euclidean space using a single position range measurement.
