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为了解决广义Delta算子系统的容错控制问题,本文对广义Delta算子系统的容错控制器进行合理的设计,保证在执行器出现故障时相应的闭环系统始终是容许的。通过引入故障切换矩阵来描述系统的执行器故障,并利用线性矩阵不等式方法,得到了广义Delta算子系统存在容错控制器的充分必要条件,进一步利用线性矩阵不等式的解给出相应容错控制器的设计方法,同时利用数值算例对本文理论结果的有效性进行验证分析。分析结果表明,本文所设计的容错控制器可以保证闭环系统在执行器出现故障时始终是容许的,具有良好的可行性,说明该设计方法是有效的。该研究对广义Delta算子系统的容错控制具有一定的应用价值。
In order to solve the fault-tolerant control problem of the generalized Delta operator system, the fault-tolerant controller of the generalized Delta operator system is reasonably designed to ensure that the corresponding closed-loop system is always acceptable when the actuator fails. By introducing the fault-switching matrix to describe the actuator fault, the sufficient and necessary conditions for the existence of fault-tolerant controller in generalized Delta operator system are obtained by using the method of linear matrix inequality. By using the solution of linear matrix inequalities, the corresponding fault-tolerant controller At the same time, numerical examples are used to verify the validity of the theoretical results in this paper. The analysis results show that the fault-tolerant controller designed in this paper can ensure that the closed-loop system is always acceptable in the event of actuator failure, and has good feasibility, indicating that the design method is effective. The research has some application value for fault-tolerant control of generalized Delta operator system.