论文标题
在管MPC中应用的散发性的设定理论概括
A set-theoretic generalization of dissipativity with applications in Tube MPC
论文作者
论文摘要
本文介绍了一个框架，用于分析具有给定状态，控制和干扰约束的一般非线性离散时间系统。特别是，我们提出了对受外部干扰影响的系统耗散性概念的设定理论概括。相应的理论发展建立在基于集合的分析方法的基础上，并为经济管模型预测控制器进行严格的稳定性分析奠定了一般的理论基础。此外，我们讨论了用于验证具有凸阶段成本的约束线性控制系统的设定差异性的实用产品。
This paper introduces a framework for analyzing a general class of uncertain nonlinear discrete-time systems with given state-, control-, and disturbance constraints. In particular, we propose a set-theoretic generalization of the concept of dissipativity of systems that are affected by external disturbances. The corresponding theoretical developments build upon set based analysis methods and lay a general theoretical foundation for a rigorous stability analysis of economic tube model predictive controllers. Besides, we discuss practical prodecures for verifying set-dissipativity of constrained linear control systems with convex stage costs.
