不确定时滞系统的滑模控制及其应用研究

研究了一类带有控制时滞的不确定性系统的滑模变结构控制器的设计问题。定义特殊线性变换,将原不确定时滞系统化为无时滞系统。在新坐标下,提出了基于二次型性能指标的最优滑模面的设计方法;选择适当的动态不连续控制律保证了系统状态在有限时间到达滑模面,并有效的削弱了抖振。提出并证明了原系统渐近稳定的充分条件。将该控制方法应用到典型的不确定时滞对象——聚合反应釜的温度控制系统中,仿真结果表明了该方法的有效性。

Sliding Mode Control for Uncertain Time-Delay Systems and Its Application Research

The problem of designing optimal sliding mode controllers for a class of uncertain linear systems with input time-delay was considered. Through a particular linear transformation, the original uncertain time-delay system was first transformed into a delay-free system. Then based on the transformed system, a design method of optimal sliding mode with a quadratic performance index minimized was proposed by applying optimal control technique. An appropriate control law was selected that forces the system states to reach the sliding manifold in finite time and has low chattering in the sliding motion. Furthermore, a sufficient condition that guarantees the asymptotic stability of the original system was derived. Finally, the proposed scheme was used to design the temperature control system for a polymerization reactor, which is a typical uncertain time-delay process. Simulation results show the efficiency and superiority of the proposed method.