Nonlinear observer design based on stable manifold theory with applications

到目前为止，设计非线性观测器的一般方法还不存在。在这项研究中，提出了两种设计非线性观测器的方法。第一种方法采用依赖于状态的线性表示，并利用获得线性西尔维斯特方程的解析解的结果。采用这种方法的观测器由于其解析表示在实际实现中具有优势。另一种方法基于不变流形计算来求解非线性西尔维斯特方程。该方法利用了N.Sakamoto的不变流形计算理论的结果。

General approach for designing nonlinear observer does not exist so far. In this research, two approaches are proposed for the nonlinear observer design. The first one employs the state-dependent linear representation and uses the result of obtaining analytic solution for linear Sylvester equations. Observers with this approach have an advantage in actual implementations with its analytic representation.The other approach tries to solve nonlinear Sylvester equation based on invariant manifold computation. This method uses the result of N. Sakamoto for invariant manifold computation theory.