Embedding-Based Sliding Mode Control for Linear Time Varying Systems

• 作者: Ali Jafar Koshkouei Keith Burnham Mohammad Hadi Farahi Mohammad Reza Zarrabi Sohrab Effati
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Time OPTIMAL CONTROL Problem MEASURE Theory SLIDING Mode CONTROL SLIDING Surface Design EQUIVALENT CONTROL
• 年，卷（期）: 2011,（4）
• 页码范围: 487-495
• 页数: 9页
• 分类号: O1

摘要

In this paper, a novel strategy using embedding process and sliding surface is proposed. In this method, a state trajectory starting from a given initial point reaches a definite point on a sliding surface in the minimum time, and then tends to the origin along the sliding surface (SS). In the first, a SS is designed, then using an appropriate measure, an embedding is constructed to solve a time optimal control problem such that the system trajectory reaches the SS in minimum time, after that a control is designed such that the system trajectory tends to the origin along the SS. It is well-known that the main disadvantage of the use of sliding mode controls (SMCs) is a phenomenon, the so-called chattering. The proposed SMC here is piecewise continuous and chattering free. Some numerical examples is presented to illustrate the effectiveness and reliability of the proposed method.