Robust H∞ fault-tolerant control for stochastic Markov jump time-delay systems with actuator faults and application

Abstract

With the increasing complexity of the control systems, especially the systems with high safety requirements (such as aircraft, power systems, chemical facilities, nuclear energy facilities, etc.), the fault­tolerant control strategies need to be used in order to ensure that the system can still meet a certain stable performance when an abnormality occurs. System integrity means that when one or more components in the system fail, the system can still work steadily by using the remaining components. In the early days, many scholars carried out research on this problem [1–3]. In 1971, Niederlinski proposed the concept of integral control [4], which is the idea of fault­tolerant control. If the closed­loop system is still stable and has ideal characteristics when the actuator, sensor or component fails, the closed­loop control system is called the fault­tolerant control system. Around 1980, Šiljak researched the problem of reliable stabilization of the system and published some results, which are the important early literature for the fault­ tolerant control [5–7]. Faults in the engineering system mainly include the actuator fault, sensor fault, controller fault and controlled object fault [8–11]. The actuator is the most prone to failure because it performs control tasks frequently. The failure of the actuator in the system may cause the system to lose its original performance, or even cause the system to become unstable [12–15]. For example, in spacecraft control systems, the actuators are one of the key components for precise control. If the actuator fails, it will inevitably affect the performance of the spacecraft control system. In serious cases, it may even lead to the failure of the space mission. Therefore, when the actuators fail, how Proceedings of the Estonian Academy of Sciences, 2021, 70, 1, 102–110