In this work, we study the design of dynamic output feedback controllers for continuous-time Markov jump linear systems in the worst-case scenario of partial observation of both, the Markov chain and the state, through an iterative method. We assume that the controller has only access to the output of a fault-detection and isolation device and present design conditions for the ${\mathcal{H}}_2$, ${\mathcal{H}}_{\mathrm{\infty }}$, and mixed ${\mathcal{H}}_2/{\mathcal{H}}_{\mathrm{\infty }}$ controller that switches according only to the detector. As a by-product of our formulation, we are also able to design mode-dependent and independent controllers, and briefly discuss the design of filters depending on the detector. The results are given in terms of bilinear matrix inequalities that allow for an iterative separation procedure method in which in each step, we solve a linear matrix inequality problem. We also present an illustrative example in the context of systems subject to faults.

在这项工作中，我们通过迭代方法研究了在马尔可夫链和状态的部分观察的最坏情况下连续时间马尔可夫跳跃线性系统的动态输出反馈控制器的设计。我们假设控制器只能访问故障检测和隔离设备的输出，并提出设计条件${\mathcal{H}}_2$,${\mathcal{H}}_{\mathrm{\infty }}$, 并混合${\mathcal{H}}_2/{\mathcal{H}}_{\mathrm{\infty }}$仅根据检测器切换的控制器。作为我们公式的副产品，我们还能够设计模式相关和独立的控制器，并简要讨论取决于检测器的滤波器设计。结果以双线性矩阵不等式的形式给出，允许迭代分离过程方法，其中在每个步骤中，我们解决线性矩阵不等式问题。我们还在系统受故障影响的情况下提供了一个说明性示例。