论文部分内容阅读
针对非线性网络化控制(NCS)系统中控制器参数存在摄动的问题,考虑传感器—控制器和控制器—执行器均存在随机丢包和量化误差,提出了一种加性非脆弱量化H∞控制器的设计方法.利用李亚普诺夫稳定性理论和线性矩阵不等式(LMI)方法,将该问题转化为线性矩阵不等式约束和线性目标函数的凸优化问题进行求解,给出了丢包下的非脆弱量化H∞控制器存在的充分条件.所设计的控制器在容许的参数摄动、丢包概率和量化密度条件下,不仅能保证闭环NCS的稳定性和性能要求,而且是非脆弱的.数值仿真验证了所提方法的有效性.
In order to solve the problem of perturbation of controller parameters in nonlinear networked control (NCS) system and to consider random loss and quantization errors of sensor-controller and controller-actuator, an additive non-fragile quantization H ∞ controller, the problem is solved by the Lyapunov stability theory and the linear matrix inequality (LMI) method, and then the problem is solved by the linear matrix inequality constraints and the convex optimization problem of the linear objective function. Sufficient Condition of Non-fragile Quantization H∞ Controller The designed controller can not only ensure the stability and performance of closed-loop NCS under the condition of allowable parameter perturbation, packet loss probability and quantization density, but also be non-fragile. Numerical simulation verifies the effectiveness of the proposed method.