Synthesis of Robust Stabilizing Controllers for Uncertain Systems

这一建议涉及确定控制权的问题 保证线性系统渐近稳定的律 不确定性 不确定性可能会出现，因为物理参数 或者因为参数随着时间的推移而变化， 操作条件改变。 基于标称值的控制设计 系统可能不足以达到令人满意的性能，如果 系统受到标称值的扰动。 . h.>目前关于鲁棒控制的许多研究都涉及到 确定特定控制器的鲁棒性程度，即， 分析问题。 这里的重点是综合问题 确定控制律的系统程序的发展 这保证了渐近稳定性。 时间的问题。变化的 不确定性和恒定不确定性将被处理。 在 此外，还将处理同时稳定问题。 实现设计问题的数值算法将 开发并应用于真实的物理系统的模型。

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.