增量式变增益函数观测器在时变系统中的应用

Increment Function Observer With Variable Gain and Its Application on Time-varying System

在增量式函数观测器IFO-KΔx的基础上,给出增量式变增益函数观测器IFO-K(T(t))Δx和增量式变增益全维状态观测器IFO-T(t)Δx的数学定义,从而使得增量式观测器的应用领域进一步扩展到非线性慢时变受控系统中。文中分别给出了IFO-K(T(t))Δx和ISO-T(t)Δx成立的充分条件,进而得出对工程实践非常有意义的结论,即在定理所论条件下增量式观测器的设计可以避开求解Sylvester矩阵方程,从而为观测器的工程应用提供了更加完备的理论依据。工程实践证明了这一结论的正确性。

Based on the increment function observer （IFO-K△x）, the mathematical conceptions of increment function observer with variable gain IFO-K（T（t）） △x and the increment full dimension state observer with variable gain ISO-T（t）△x were given, which makes the application of increment observer extending to non-linear slow-time-varying controlled system. The sufficient condition of IFO-K（T（t））△x and ISO-T（t） △x are presented, then the useful conclusion for practical engineering can be obtained that the design of increment observer can avoid seeking the solution of Sylvester matrix equation, which provides the more maturity theory foundation for the engineering application of incremental observer..The correcmess has been proved by engineering practices.