论文标题
同时输入和状态set-valued \ mathcal {h} _ {\ infty} -observers for Linear parameter-varying systems
Simultaneous input and state set-valued \mathcal{H}_{\infty}-observers for linear parameter-varying systems
论文作者
论文摘要
为带有界面噪声和完全未知的攻击信号的线性参数变化系统提供了固定顺序设置值观察者，该系统同时找到了有限的状态集和未知输入集，其中包括真实状态和输入。拟议的观察者可以使用具有LMI约束的半决赛编程设计，并且在最小\ Mathcal {h} _ {\ infty} -norm sense中是最佳的。我们表明，每个构成线性时间变变系统的强可检测性是存在这种观察者的必要条件，也是集值估计值的界限。此外，为估计误差的上限提供了足够的条件，以收敛到稳态值，最后，通过一个说明性示例，展示了这种设置值观察者的结果。
A fixed-order set-valued observer is presented for linear parameter-varying systems with bounded-norm noise and under completely unknown attack signals, which simultaneously finds bounded sets of states and unknown inputs that include the true state and inputs. The proposed observer can be designed using semidefinite programming with LMI constraints and is optimal in the minimum \mathcal{H}_{\infty}-norm sense. We show that the strong detectability of each constituent linear time-invariant system is a necessary condition for the existence of such an observer, as well as the boundedness of set-valued estimates. Furthermore, sufficient conditions are provided for the upper bounds of the estimation errors to converge to steady state values and finally, the results of such a set-valued observer are exhibited through an illustrative example.
