Dynamic Optimal Operational Control For Complex Systems With Uncertain External Loop Disturbances

In practical engineering applications,external disturbances usually contain uncertainties,but in the operating environment with uncertainties,the controlled system cannot asymptotically track the set target value.If the parameters and structure of the controller are changed for the uncertain disturbances in the operating environment of the device,it will cause the device to stop running and cause economic losses that cannot be ignored.Therefore,in this paper,a two-layer optimal setting control scheme based on disturbance observer is studied for systems with uncertain disturbances.Firstly,the loop control layer(lower layer)controller is designed,and then Linear Matrix Inequality method is used to solve the PID controller parameters.Secondly,the disturbance observer is designed at the operational control layer(upper layer)and the set value is dynamically adjusted to make the output of the loop system asymptotically stable.The specific theoretical process is to use Lyapunov stability theorem to prove the stability of the composite system consisting of PID control law,disturbance observer estimation error and set value adjustment.MATLAB was used for numerical simulation.The system output,tracking error and performance indicator graph became more stable after the adjustment of the set value,which fully verified the effectiveness of the two-layer structure optimal operational control scheme.The research contents of this paper are as follows:1.Dynamic Optimal Operational Control for Linear Systems with External Loop Harmonic Disturbances and Uncertain External Loop Disturbances.Firstly,the objective value of the loop control layer is obtained by optimizing the performance index function.Then the PID controller is designed in the loop control layer,and the controller parameters are tuned using LMI technology and Lyapunov theory.Finally,in the operational control layer,the disturbance observer is designed,and the set points are dynamically adjusted,so that the controlled output can still track the target value asymptotically without changing the structure and parameters of the PID controller.2.Dynamic Optimal Operational Control for Nonlinear Systems with Uncertain External Loop DisturbancesFirstly,the objective value of the loop control layer is obtained by optimizing theperformance index function.Then the PID controller is designed in the loop control layer,and then the parameters of the PID controller are calculated under the condition that the nonlinear function satisfies the Lipschitz condition.Finally,in the operational control layer,the disturbance observer is designed,and the set points are dynamically adjusted,so that the controlled output can still track the target value asymptotically without changing the structure and parameters of the PID controller.3.Dynamic Optimal Operational Control for Linear Systems with Unknown Frequency Disturbances.The PID controller is designed in the loop control layer,and the controller parameters are tuned using LMI technology and Lyapunov theory.Finally,in the operational control layer,the disturbance observer is designed,and the set points are dynamically adjusted,so that the controlled output can still track the target value asymptotically without changing the structure and parameters of the PID controller.