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

具有高度结构化模型不确定性的系统的约束 H-oo 控制

• 批准号: 9415286
• 负责人: Athanasios Sideris
• 金额: $ 10.33万
• 依托单位: University of California-Irvine
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-09-15 至 1997-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9415286&HistoricalAwards=false
• 关键词: Constrained; oo; Control; Systems; Highly

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. ***

9415286 Sideris约束H-inf最优控制（CH-inf）为具有混合时域和频域规范的鲁棒控制系统设计提供了一个框架。在Choo中，频域规范是根据hoo范数最小化问题制定的，而时域约束是根据闭环系统的特定时间响应（如阶跃响应等）的硬边界制定的。后者被表示为Hoo优化问题解的仿射约束，因此被精确地处理，而不是近似地转换为频域规范。对于一般离散时间多变量系统，得到了该问题的完全解，它包括求解一个有限维凸最小化问题和一个标准Hoo优化问题。该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，将获得一个Ch-inf框架，其中结构化模型不确定性以降低的保守性处理，从而可以直接解决更广泛的规范集（时域和频域规范，结构化和参数化模型不确定性）。* * *