Zhao Xia, Liu Chunsheng, Tian Engang
School of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 2111106, China.
School of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 2111106, China.
ISA Trans. 2020 Sep;104:93-100. doi: 10.1016/j.isatra.2019.02.025. Epub 2019 Mar 2.
This paper is concerned with the probabilistic-constrained finite-horizon tracking control problem for a class of stochastic systems subject to randomly occurring hybrid cyber attacks and input constraints. Both the randomly occurring denial-of-service (DOS) attacks and randomly occurring deception attacks are considered in an unified framework. The purpose of the current study is to design an observer-based tracking controller such that: over a finite horizon, (1) the variance of the estimation error is less than certain bound at each time step, (2) the probability of the tracking error falling in certain region should larger than a specified value and the region is minimized at each time step. To achieve those purposes, an improved multi-dimensional Chebyshev inequality method is first utilized to convert the probabilistic constraint to a deterministic one. Then an observer-based tracking control method is designed to estimate the state and design the tracking controller, which are realized through solving a set of recursive linear matrix inequalities. By using the proposed algorithm, the observer and tracking controller gains can be solved out in terms of the solution to a convex optimization problem. A simulation example is finally given to demonstrate the effectiveness and applicability of the proposed method.
本文研究一类受随机发生的混合网络攻击和输入约束的随机系统的概率约束有限时域跟踪控制问题。在一个统一框架中同时考虑了随机发生的拒绝服务（DOS）攻击和随机发生的欺骗攻击。当前研究的目的是设计一种基于观测器的跟踪控制器，使得：在有限时域内，（1）估计误差的方差在每个时间步都小于某个界；（2）跟踪误差落入特定区域的概率应大于指定值，并且该区域在每个时间步都最小化。为实现这些目的，首先利用一种改进的多维切比雪夫不等式方法将概率约束转化为确定性约束。然后设计一种基于观测器的跟踪控制方法来估计状态并设计跟踪控制器，这通过求解一组递归线性矩阵不等式来实现。通过使用所提出的算法，观测器和跟踪控制器增益可以根据凸优化问题的解求解出来。最后给出一个仿真例子来证明所提方法的有效性和适用性。
