广义双线性系统的参考模型终端滑模控制

Reference Model of Terminal Sliding Mode Control of Singular Bilinear Systems

利用李雅普诺夫方法研究了广义双线性系统的参考模型终端滑模控制。首先通过选取适当的非线性切换流形,与相应的终端滑模控制律来设计了广义双线性系统的终端滑模控制方法,保证了其闭环系统的渐近稳定,并使闭环系统模态能够在有限时间内达到平衡点,实现终端滑动模运动。最后,通过了一个数值算例说明了该方法的有效性。

In this paper, the reference model of terminal sliding mode control of singular bilinear systems is studied by using the method of Lyapunov function. The appropriate non-linear switching manifold and the corresponding control law are employed to design the law of the terminal sliding mode controlling in order to guarantee the asymptotic stability with the closed-loop system and make the sliding mode of the closed-loop system reach the balance point in limited time so that he movement of sliding mode is realized. Finally, a numerical example illustrates the validity of the proposed method.