Synthesis of Robust Stabilizing Controllers for Uncertain Systems

这一建议涉及到确定保证线性不确定系统渐近稳定的控制律的问题。不确定可能是因为物理参数不确切，或者因为参数随着运行条件的变化而变化。如果系统受到标称系统的扰动，则基于标称系统的控制设计可能不足以获得令人满意的性能。目前关于鲁棒控制的大部分研究都是关于确定特定控制器的鲁棒性程度，即分析问题。这里的重点是确定保证渐近稳定的控制律的系统程序的综合问题的发展。将处理与时间、变化的不确定性以及恒定的不确定性有关的问题。此外，还将解决同步稳定问题。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。

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.