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首次利用广义Lyapunov函数方法针对不确定广义双线性系统的输出变结构控制问题进行研究.首先,选取设计了带有滑动模动态补偿器的切换函数,保证了系统在准切换流形上的渐近稳定性.其次,在不确定参数和扰动范数有界的条件下,设计了变结构控制器,使得在控制下闭环系统在有限时间内实现滑模运动.最后,通过数值算例说明了设计方法的合理性和有效性.
For the first time, the generalized Lyapunov function method is applied to control the output variable structure of uncertain bilinear systems with uncertainties. Firstly, the switching function with sliding mode dynamic compensator is designed to ensure the gradual Near the stability of the system.Secondly, under the condition of the uncertain parameters and the perturbed norm, a variable structure controller is designed to make the closed-loop system realize the sliding mode motion in finite time under the control.Finally, The rationality and effectiveness of the design method.