Constrained H-infinity Optimiztion: An Approach for the Robust Control of Systems with Time-Domain Constraints

约束 H 无穷优化：时域约束系统的鲁棒控制方法

• 批准号: 9214993
• 负责人: William Schmitendorf
• 金额: $ 10.11万
• 依托单位: University of California-Irvine
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-09-15 至 1995-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9214993&HistoricalAwards=false
• 关键词: Constrained; infinity; Optimiztion; Approach; Robust

We propose to develop an Hoo optimization approach which will allow in addition to the customary frequency-domain specifications, explicit time-domain specifications. The latter specifications include shaping of the transient characteristics of the system by requiring that the step response lies in a given envelope, specifying that actuator signals do not exceed certain hard bounds in order to avoid saturation, etc. We refer to this approach as Constrained Hoo optimization. In the proposed approach the time-domain specifications are introduced as constraints onto the Hoo optimization. We expect to establish a decomposition of the latter problem to i) a finite dimensional convex optimization problem and ii) a standard Hoo optimization problem. This method will be capable of handling structured model uncertainty in as much the same way as Hoo optimization methods such as u-synthesis do. The approach will also inherit the algorithmic nature of Hoo optimization methods and systematically provide trade-offs between conflicting specifications, including specifications posed directly in the time-domain. It will be capable of revealing the achievable performance limits at a reasonable computational cost. We expect to establish that the controllers produced within this framework will have properties that guarantee effective degree reduction to the level of standard Hoo optimal controllers and specialized controller reduction schemes will be developed. In summary, our expected results should provide a general, systematic and practical approach for robust multivariable control system design with structured uncertainty, in which established measures of performance in the time-domain are incorporated explicitly, while the applicability of standard Hoo methods is retained in full. We believe that the proposed research offers a unique approach to the important subject of Robust Control of Constrained Systems.

我们建议开发一种 Hoo 优化方法，除了常规的频域规范之外，还允许明确的时域规范。 后者规范包括通过要求阶跃响应位于给定包络内来塑造系统的瞬态特性，指定执行器信号不超过某些硬界限以避免饱和等。我们将这种方法称为约束 Hoo 优化。 在所提出的方法中，引入时域规范作为 Hoo 优化的约束。 我们期望将后一个问题分解为 i) 有限维凸优化问题和 ii) 标准 Hoo 优化问题。 该方法将能够以与 u-synthesis 等 Hoo 优化方法相同的方式处理结构化模型不确定性。 该方法还将继承 Hoo 优化方法的算法性质，并系统地提供冲突规范之间的权衡，包括直接在时域中提出的规范。 它将能够以合理的计算成本揭示可实现的性能限制。 我们期望确定在此框架内产生的控制器将具有保证有效程度降低到标准 Hoo 最优控制器水平的特性，并且将开发专门的控制器降低方案。 总之，我们的预期结果应该为具有结构化不确定性的鲁棒多变量控制系统设计提供一种通用的、系统的和实用的方法，其中明确地结合了时域中既定的性能测量，同时完全保留了标准 Hoo 方法的适用性。 我们相信，所提出的研究为约束系统的鲁棒控制这一重要课题提供了一种独特的方法。