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针对存在马尔可夫短时延且状态转移概率部分已知的网络环境,研究了飞行器网络控制系统的多指标鲁棒故障检测问题.传统马尔可夫跳变系统的故障检测方法是将故障、外部输入和未知扰动作为广义输入,采用一个H∞性能指标来进行故障检测滤波器的设计.由于该指标不具有明确的物理意义,为此需要研究多指标鲁棒故障检测滤波器的设计方法.通过将网络诱导时延描述为一个有限状态马尔可夫链,飞行器网络控制系统被建模为离散有限马尔可夫跳变系统.同时考虑残差对故障的敏感性和对未知扰动及外部输入的鲁棒性,以线性矩阵不等式的形式给出了多指标故障检测滤波器的存在条件和求解方法.最后通过数值算例验证了所提方法的有效性和优越性.
Aiming at the network environment where the Markov delay is short and the probability of state transition is known, the multi-index robust fault detection of aircraft networked control system is studied. The fault detection of traditional Markov transition system Input and unknown perturbation as generalized input, a H∞ performance index is used to design the fault detection filter.Therefore, this indicator does not have a clear physical meaning, so we need to study the design method of multi-index robust fault detection filter.Through The network-induced delay is described as a finite state Markov chain, and the aircraft networked control system is modeled as a discrete finite Markov jump system. At the same time, the sensitivity of the residual to the fault and the influence of the unknown disturbance and external input are considered The existence and solution of multi-index fault detection filter are given in the form of linear matrix inequalities.Finally numerical examples are given to verify the effectiveness and superiority of the proposed method.