非线性多状态时滞系统容错保性能控制

Fault-Tolerant and Guaranteed Performance Control for Nonlinear Multi-Dime-Delay Systems

针对一类具有多个状态时滞的非线性连续系统,在假设非线性函数满足Lipschitz条件的前提下,研究执行器发生失效故障时系统的容错控制问题;针对故障闭环系统采用线性矩阵不等式方法分别设计容错控制器和容错保性能控制器,给出故障闭环系统渐进稳定的充分条件,并利用Lyapunov稳定性理论证明故障闭环系统的渐进稳定性;通过具体数值算例验证所设计的容错控制器和容错保性能控制器的容错效果.仿真结果表明,所设计的容错控制器和容错保性能控制器不仅可以保证执行器正常工作时系统的渐进稳定性,还可以在发生故障时使故障闭环系统达到渐进稳定,且收敛速度快,容错保性能控制器还可以同时满足二次型性能指标.

For a class of nonlinear continuous systems with multiple state delay,the fault-tolerant control of actuator failure is studied,assuming that the nonlinear function is satisfied under the Lipschitz condition.A fault-tolerant controller,fault-tolerant and fault-guaranteed performance controller are designed for fault closed-loop systems using linear matrix inequality(LMI)method,and sufficient conditions for asymptotic stability of fault closed-loop systems are given.The asymptotic stability of fault closed-loop systems is proved by Lyapunov stability theory.Finally,the fault-tolerant performance of the designed fault-tolerant controller and fault-tolerant performance controller is validated by numerical examples.The simulation results show that the design of fault-tolerant controller and fault tolerance guaranteed cost controller can not only guarantee the normal work of the actuator when the asymptotic is a stability of the system,and fault-tolerant guaranteed cost controller can also meet a given quadratic performance index when the fault closed-loop system is asymptotically stable,and the convergence rate is fast.