Robust Satisfactory Fault-Tolerant Control For Uncertainty Networked Control System With Multi-indices Constraints

The Networked Control System （NCS） is a closed-loop feedback Control Systemwhich constituted with sensors, actuators and controllers through the network. Alongwith the development of information and control technology, the control system scalecontinues to expand, complexity is increasing day by day, fault inducing factors alsoincreases. Therefore, how to improve the systems safety and reliability through thefault tolerant design have become the urgent problems. In recent years, for uncertaintyNCS robust fault-tolerant control research although have made some results, but mostare for the system robust integrity and robust H_∞integrity, for uncertainty NCSsatisfacory fault-tolerant control also have rare reported. In actual, even if the systemfails, people also expect index is multifaceted. Namely in the ensure of the stability ofthe system at the same time, also have a good dynamic,static and disturbing resistanceperformances and so on. But the conservative of NCS passive fault tolerant becomethe barrier for optimization controller with multi-indices constraints.So how to reducethe conclusion conservative and improve the NCS fault-tolerant satisfaction make thefault-tolerant control field that is both a challenging and profound scientificsignificance.Based on the above consideration, this paper aimed at a linear uncertainty NCSwith time-varying delay and lost package, packet-dropout is regarded as a special kindof delay.General use Lyapunov theory, more tight integral inequalities and LMItechnology, the less conservative robust satisfactory fault-tolerant design criterionwith more target constraint for uncertainty NCS was put forward. This is dotheoretical foil for its better applied to engineering practice, the main work include:1) Robust satisfactory fault-tolerant control research for uncertainty NCS basedon state feedbackFor a linear uncertainty NCS with time-varying delay and lost package, using thestate feedback control strategy, by construct a proper delay-dependent Lyapunov-Krasovskii functional and by means of integral inequality, the criterions are obtaintedfor system with robust fault tolerant, robust H_∞fault tolerantand robustgeneralizedH₂/H_∞fault toleran constraints on α-stability. And via LMIs controllersolution and optimization method were given.2) Robust satisfactory fault-tolerant control research for uncertainty NCS basedon dynamic output feedbackFor a linear uncertainty NCS with time-varying delay and lost package, using thedynamic output feedback control strategy and segment handling to delay, by constructa proper delay-dependent Lyapunov-Krasovskii functional,and useing integral inequality,the criterions are obtainted for system with robust fault tolerant,robust H∞fault tolerantand robust generalizedH2/H∞fault toleran constraints on α-stability.And via LMIs controller solution and optimization method were given.3) Correctness and effectiveness validation for controller and Conclusionconservative analysisFor the above research conclusion, with an example to verify its accuracy andeffectiveness, and the results show that the method is correct and feasible,also theintroduction of multi-objective constraint conditions further improve the tolerancesatisfaction of the NCS. Besides, also have a conservative comparative analysis onthis article and the earlier results, the results show that because not make modeltransformation and use tight integral inequality, make the methods described in thispaper have small conservative. There is no doubt that the increase of the satisfactiondegree of the NCS fault tolerance for the solution to the space. At the same time in theProve process not introduce any free weighting matrix, which not only further reducedthe system conservative, but also reduce the computational complexity.