Sliding Modes after the First Decade of the 21st Century
Sliding Modes after the First Decade of the 21st Century
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21世纪第一个十年后的滑动模式
DOI：
10.1007/978-3-642-22164-4_8
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Han X
中科院分区：
文献类型：
--
作者：
Han X
这一章考虑了具有不一定匹配的有界扰动的线性时滞系统的滑模控制策略的发展。重点是发展建设性的和适用于实际问题的框架。对于许多系统来说，测量所有系统状态可能是不现实的，因此考虑了静态输出反馈滑模控制设计范式。该方法的新颖之处在于，利用线性矩阵不等式（lmi）来求解存在性问题和有限时间可达性问题，即存在时变延迟和不匹配干扰时最小化降阶滑模动力学的极限界。因此，该方法具有建设性，并保证了经历延迟的不确定系统将达到的闭环性能水平。文献中一个具有匹配和不匹配扰动的不确定模型提供了该方法的教程示例。最后介绍了该设计方法在液体单推进剂火箭发动机控制领域的实际应用。
This chapter considers the development of sliding mode control strategies for linear, time delay systems with bounded disturbances that are not necessarily matched. The emphasis is on the development of frameworks that are constructive and applicable to real problems. For many systems it may not be practical to measure all the system states and therefore a static output feedback sliding mode control design paradigm is considered. The novel feature of the method is that Linear Matrix Inequalities (LMIs) are derived to compute solutions to both the existence problem and the finite time reachability problem that minimize the ultimate bound of the reduced-order sliding mode dynamics in the presence of time varying delay and unmatched disturbances. The methodology is therefore constructive and provides guarantees on the level of closed-loop performance that will be achieved by uncertain systems which experience delay. An uncertain model with both matched and unmatched disturbances from the literature provides a tutorial example of the proposed method. A case study involving the practical application of the design methodology in the area of liquid monopropellant rocket motor control is also presented.