执行器故障下不确定非线性系统的鲁棒保成本控制

Robust Guaranteed Cost Control for Uncertain Nonlinear Systems with Actuator Failures

  • 摘要: 对一类执行器故障的非线性不确定系统,研究了具有L2增益扰动衰减性能指标约束的鲁棒保成本控制器的设计问题.提出了更实际、更一般的执行器故障模型;给出了具有L2增益扰动衰减性能的鲁棒保成本控制系统的概念和属性.采用HJI不等式方法,导出了故障闭环系统渐近稳定、具有给定的抗干扰能力和成本函数有上界的充分条件.仿真实例验证了结论的有效性.

     

    Abstract: For uncertain nonlinear systems under the conditon of actuator failures,the problem of robust guaranteed cost controller design with L2-gain disturbance attenuation performance constraints is studied.A more practical and general model for actuator failures is put forward,and the concept and properties of robust guaranteed cost control system with L2-gain disturbance attenuation performance are also presented.Furthermore,based on Hamilton-Jacobi-Isaacs inequalities approach,a sufficient condition is given,under which the closed-loop system with actuator failures is asymptotically stable with given anti-disturbance performace and the cost function owns an upper bound.A simulation example shows the efficiency of the design method.

     

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