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探讨了离散线性系统的变结构控制问题,分析了传统趋近律方法的缺陷,提出了一种新的离散变结构趋近律。该趋近律不但能使系统滑模轨迹渐进收敛于零,而且其确定的准滑动模态区在趋近过程中能够分成为两个区域。分析了滑模轨迹在两个区域内的不同趋近特性,通过调整参数改变两个区域的宽度,尽量减少滑模轨迹穿越切换面的次数,确保系统的抖振削弱和鲁棒性。仿真结果证明,该离散趋近律方法对离散线性确定系统和离散不确定性系统都有良好的控制效果。
The problem of variable structure control of discrete linear systems is discussed. The defects of the traditional approach method are analyzed. A new approach of the discrete variable structure approach is proposed. The law of convergence not only makes the system sliding mode trajectory converge to zero asymptotically, but also determines the quasi-sliding modal zone which can be divided into two regions in the approaching process. The different approach characteristics of the sliding mode trajectory in two regions are analyzed. The width of the two regions is adjusted by adjusting the parameters so as to minimize the number of sliding path traversing the switching face and to ensure the weakening and robustness of the system. The simulation results show that the discrete approach method has good control effects on discrete linear deterministic systems and discrete uncertain systems.