论文标题
二元自适应控制体系结构的次要性
Sub-Optimality of a Dyadic Adaptive Control Architecture
论文作者
论文摘要
二元自适应控制体系结构进化为解决无线性非线性，干扰和不确定性的非线性系统的控制定律问题的解决方案。该框架的一个显着特征是它可以使用无限和有限的维度系统以及具有广泛的控制和自适应定律的能力。在本文中，我们考虑了基于线性二次调节器理论设计控制法的控制法律的情况。我们针对标准线性二次控制定律以及基于状态依赖性的Riccati方程的闭环系统基准测试。我们提出了将控制法的一部分设计为尼哈里问题的问题。我们获得了对控制定律亚次临时性的界限的分析表达式。
The dyadic adaptive control architecture evolved as a solution to the problem of designing control laws for nonlinear systems with unmatched nonlinearities, disturbances and uncertainties. A salient feature of this framework is its ability to work with infinite as well as finite dimensional systems, and with a wide range of control and adaptive laws. In this paper, we consider the case where a control law based on the linear quadratic regulator theory is employed for designing the control law. We benchmark the closed-loop system against standard linear quadratic control laws as well as those based on the state-dependent Riccati equation. We pose the problem of designing a part of the control law as a Nehari problem. We obtain analytical expressions for the bounds on the sub-optimality of the control law.
