Determinability and state estimation for switched differential-algebraic equations
Determinability and state estimation for switched differential-algebraic equations
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DOI：
10.1016/j.automatica.2016.10.024
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发表时间：
2016-09
期刊：
影响因子：
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通讯作者：
A. Tanwani;Stephan Trenn
中科院分区：
文献类型：
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作者：
A. Tanwani;Stephan Trenn
研究了一类子系统采用线性微分代数方程（DAE）建模的切换动态系统的状态重构与估计问题。由于这类系统施加随时间变化的动态和静态（代数约束的形式）的状态轨迹的演变关系，提出了一个适当的概念，可观测性容纳这些现象。基于这一概念，我们首先推导出一个公式的重建系统的状态，我们明确地获得一个内射映射从输出到状态。在实践中，这样的映射可能是难以实现的数字，因此提出了一类估计器，它确保了状态估计渐近收敛到系统的真实的状态。
The problem of state reconstruction and estimation is considered for a class of switched dynamical systems whose subsystems are modeled using linear differential–algebraic equations (DAEs). Since this system class imposes time-varying dynamic and static (in the form of algebraic constraints) relations on the evolution of state trajectories, an appropriate notion of observability is presented which accommodates these phenomena. Based on this notion, we first derive a formula for the reconstruction of the state of the system where we explicitly obtain an injective mapping from the output to the state. In practice, such a mapping may be difficult to realize numerically and hence a class of estimators is proposed which ensures that the state estimate converges asymptotically to the real state of the system.