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首页> 外文期刊>IEEE Transactions on Automatic Control >Variable structure control design for uncertain discrete-time systems
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Variable structure control design for uncertain discrete-time systems

机译：不确定离散系统的变结构控制设计

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摘要

The main differences between the designs of discrete-time variable structure systems (VSS) and continuous-time VSS are the determination of the switching hyperplane and the satisfaction of the hitting/sliding condition. These differences yield many difficulties in the design of sliding mode control for the discrete-time VSS. This note tries to overcome these difficulties and design a simple sliding mode control for a single input discrete-time VSS such that not only the discrete-time uncertain system is stabilized robustly, but also the chattering along the sliding mode is reduced explicitly. Instead of the conventional switching hyperplane, in the discrete-time case a "switching region", which includes the hyperplane S/sub 0/ and its neighborhood, is determined and used. The determination of the switching region is to locate the equilibrium point of the nominal subsystem on each hyperplane S/sub p/ outside the switching region such that the state motions inside and outside the switching region will occur alternately until the state of the closed-loop system reaches the origin. Moreover, we prove that the robustness property is retained whenever the uncertainty satisfies a standard matching condition.
机译：离散时间可变结构系统（VSS）和连续时间VSS的设计之间的主要区别是确定切换超平面和满足击打/滑动条件。这些差异在离散时间VSS的滑模控制设计中产生了许多困难。本文旨在克服这些困难，并为单个输入离散时间VSS设计简单的滑模控制，从而不仅可以稳定地离散时间不确定系统，而且可以显着减少沿滑模的颤动。代替传统的切换超平面，在离散时间情况下，确定并使用包括超平面S / sub 0 /及其附近的“切换区域”。切换区域的确定是将名义子系统的平衡点定位在切换区域外部的每个超平面S / sub p /上，以便切换区域内部和外部的状态运动将交替发生，直到闭环状态为止系统到达原点。此外，我们证明了只要不确定性满足标准匹配条件，就保留了鲁棒性。

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