Dissipativity, Inverse Optimal Control, and Stability Margins for Nonlinear Discrete-Time Stochastic Feedback Regulators

被引：0
|
作者：
Haddad, Wassim M.
Lanchares, Manuel
机构：
来源：
2022 IEEE 61ST CONFERENCE ON DECISION AND CONTROL (CDC) | 2022年
关键词：
D O I：
10.1109/CDC51059.2022.9992318
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we derive stability margins for optimal and inverse optimal stochastic feedback regulators. Specifically, gain, sector, and disk margin guarantees are obtained for discrete-time nonlinear stochastic dynamical systems controlled by nonlinear optimal and inverse optimal controllers that minimize a nonlinear-nonquadratic performance criterion. Furthermore, using the newly developed notion of stochastic dissipativity we derive a return difference inequality to provide connections between stochastic dissipativity and optimality of nonlinear controllers for discrete-time stochastic dynamical systems.
引用
收藏
页码：1666 / 1671
页数：6
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