CAJ | 학술논문

针对一类具有未知不确定性的非线性系统,提出一种参数直接自校正滑模控制方法.将系统的非线性、参数变化和外部干扰都视作系统不确定性,控制器的设计无需不确定项的上下界等信息:为改善跟踪性能与减小输入抖振,控制器设计中引入可调边界层厚度的双极性sigmoid函数与可变滑模切换增益,推导出控制增益和边界层厚度的直接自校正律,并基于Lyapunov判据给出了闭环系统稳定性证明.仿真实例证明了该方法的有效性和正确性.
침대일류구유미지불학정성적비선성계통,제출일충삼수직접자교정활모공제방법.장계통적비선성、삼수변화화외부간우도시작계통불학정성,공제기적설계무수불학정항적상하계등신식:위개선근종성능여감소수입두진,공제기설계중인입가조변계층후도적쌍겁성sigmoid함수여가변활모절환증익,추도출공제증익화변계층후도적직접자교정률,병기우Lyapunov판거급출료폐배계통은정성증명.방진실예증명료해방법적유효성화정학성.
Based on the combination of the direct adaptive control and the sliding-mode control, we present a new robust tracking controller for a class of nonlinear systems with unknown uncertainties. The controller treats the nonlinearity, the parametric uncertainties and the external disturbances as the system uncertainties. Without the boundaries and other information of the uncertainties, the controller and the self-tuning laws for the parameters are designed by using the Lyapunov stability theory. The closed-loop system is robust and asymptotically stable in the sense of the Lyapunov stability. The state trajectories can reach the sliding mode within finite time, eliminating the control input chattering thereafter. Simulation results are presented to verify the feasibility and correctness of the proposed control scheme.