广义积分滑模面设计：基于平方和的方法
Generalized Integral Siding Mode Manifold Design: A Sum of Squares Approach
AI总结：
本文提出广义积分滑模面的通用形式，并基于平方和编程提出设计非线性系统控制器的方法，解决匹配和不匹配不确定性问题。
摘要：
本文提出广义积分滑模面的通用形式，并提出基于平方和（SOS）编程的算法方法，用于设计非线性系统中的广义积分滑模面和控制器，以处理匹配和不匹配的不确定性。该方法还给出了控制器和滑模面参数成功设计的充分条件。通过多个仿真示例和两个实际应用，即葡萄糖-胰岛素调节问题和双轮车动力学转向问题，验证了本文的结果。
英文摘要：
This paper presents a general form of integral sliding mode manifold, and proposes an algorithmic approach based on Sum of Squares (SOS) programming to design generalized integral sliding mode manifold and controller for nonlinear systems with both matched and unmatched uncertainties. The approach also gives a sufficient condition for successful design of controller and manifold parameters. The result of the paper is then verified by several simulation examples and two practical applications, namely Glucose-insulin regulation problem and the unicycle dynamics steering problem are considered.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
