摘要
针对一类具有随机丢包的扇区非线性的离散网络控制系统,在系统存在外部干扰情况下,研究一种故障检测与控制器的协同设计策略。将传感器到控制器通道和控制器到执行器通道的随机丢包建模为两种不同的相互独立的伯努利分布的白噪声序列,设计基于观测器的故障检测滤波器产生残差信号,采用李雅普诺夫方法,给出并证明当不存在外部干扰时离散网络控制系统均方指数稳定,且当存在干扰情况下具有性能指标的充分条件。将离散非线性网络控制系统的控制器和故障检测滤波器的参数求解转化为线性矩阵不等式(LMI)的凸优化问题,确保残差和故障估计误差尽可能小,最后仿真结果验证了方法提出的有效性。
A fault detection and control co-design scheme is studied for a class of sector nonlinear discrete-time systems with random packets loss when the external disturbance emerges. Both sensor-to-controller and controller-to-actuator packet losses are modeled as two different mutually independent Bernoulli distributed white sequence. An observer-based fault detection filter is designed as a residual generator. By using a Lyapunov-Krasovskii functional, a sufficient condition is derived and proved, which makes the discrete-time nonlinear networked systems exponentially mean-square stable and achieves the performance. The solution of the parameters of the fault detection filter and controller of discrete-time nonlinear networked system are transformed into a feasible convex optimization problem of linear matrix inequality, which ensures the residual and error estimation as small as possible. Finally simulation results show the proposed method is effective.
作者
陆诗敏
金朝永
罗俊玉
LU Shi-min;JIN Chao-yong;LUO Jun-yu(School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520,China)
出处
《佛山科学技术学院学报（自然科学版）》
CAS
2019年第2期45-53,共9页
Journal of Foshan University(Natural Science Edition)
