Synthesis of Robust Stabilizing Controllers for Uncertain Systems

不确定系统鲁棒稳定控制器的综合

• 批准号: 8805759
• 负责人: William Schmitendorf
• 金额: $ 2.2万
• 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: 1988
• 资助国家: 美国
• 起止时间: 1988-12-01 至 1990-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8805759&HistoricalAwards=false
• 关键词: Synthesis; Robust; Stabilizing; Controllers; Uncertain

This proposal is concerned with the problem of determining control laws which guarantee asymptotic stability for linear systems with uncertainty. Uncertainty can arise because the physical parameters are not known exactly or because the parameters change as the operating conditions change. A control design based on a nominal system may be inadequate to achieve satisfactory performance if the system is perturbed from the nominal. .h.>Much of the current research on robust control is concerned with determining the degree of robustness for a specific controller, i.e. the analysis problem. The emphasis here is on the synthesis problem development of a systematic procedure for determining a control law which guarantees asymptotic stability. Problems with time.varying uncertainty as well as constant uncertainty will be treated. In addition, the simultaneous stabilization problem will be addressed. Numerical algorithms to implement the design problems will be developed and applied to models of real physical systems.

该提案涉及确定控制律的问题，以保证具有不确定性的线性系统的渐近稳定性。 由于无法准确了解物理参数或参数随着操作条件的变化而变化，因此可能会出现不确定性。 如果系统受到标称值的干扰，基于标称系统的控制设计可能不足以实现令人满意的性能。 .h.>当前鲁棒控制的大部分研究都涉及确定特定控制器的鲁棒程度，即分析问题。 这里的重点是确定保证渐近稳定性的控制律的系统程序的综合问题开发。 将处理随时间变化的不确定性以及恒定的不确定性的问题。 此外，同时稳定问题也将得到解决。 将开发实现设计问题的数值算法并将其应用于真实物理系统的模型。