Constrained H-oo Control For Systems With Highly Structured Model Uncertainty

9415286 Sideris约束H-INF最优控制(CH-INF)为具有混合时频域指标的鲁棒控制系统设计提供了一个框架。在Choo中，频域约束被表示为Hoo范数最小化问题，而时间域约束被表示为闭环系统特定时间响应的硬界，例如阶跃响应等，后者被表示为对Hoo优化问题的解的仿射约束，因此被精确地处理，而不是被近似地转换为频域约束。对于一般的离散时间多变量系统，这个问题的完整解已经得到，它包括求解一个有限维凸极小化问题(FDOP)和一个标准的HoO优化问题。这项研究将在许多重要方面扩展CH-INF优化的现状。更具体地说，首先将获得CH-INF框架，其中以降低的保守性来处理结构化模型不确定性，从而可以直接处理更广泛的规范集(时间和频域规范、结构化和参数模型不确定性)。***

9415286 Sideris Constrained H-inf optimal control (CH-inf) provides a framework for robust control system design with mixed time and frequency domain specifications. In Choo, the frequency domain specifications are formulated in terms of an Hoo-norm minimization problem and the time domain constraints in terms of hard bounds on specified time responses of the closed-loop system such as step responses, etc. The latter are expressed as affine constraints on the solution of the Hoo optimization problem and thus are treated exactly instead of being approximately converted to frequency domain specifications. The complete solution to this problem has been obtained for general discrete time multivariable systems and it consists of solving a finite dimensional convex minimization problem (FDOP) and a standard Hoo optimization problem. The research will extend the current status of CH-inf optimization in many significant ways. More specifically, first a Ch-inf framework in which structured model uncertainty is handled with reduced conservatism will be obtained and thus an even broader set of specifications (time and frequency domain specifications, structured and parametric model uncertainty) can be addressed directly. ***