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首页> 外文会议>AIAA Guidance, Navigation and Control Conference Pt.1, Aug 1-3, 1994, Scottsdale, AZ >AN OPTIMAL BOUNDED-STATE CONTROLLER FOR FLEXIBLE STRUCTURES
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AN OPTIMAL BOUNDED-STATE CONTROLLER FOR FLEXIBLE STRUCTURES

机译：柔性结构的最佳约束状态控制器

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摘要

To prevent structural damages, it is safer to bound the vibration amplitude rather than to minimize the vibration energy. This is due to the fact that even if the sum of the square of the vibration amplitude over a period of time is minimal, at some instants the vibration is still possible over the tolerable limit of the structure. Therefore in this paper we address bounded-state control analysis and design using linear state/output feedback and numerical optimization. The worst-case maximum vibration magnitude of the structure response is calculated for infinity-norm bounded excitation and control with an uncertain initial condition. Based on this calculated worst-case maximum vibration amplitude, a nonlinear optimization procedure is then developed for the design of an optimal bounded-state controller. The nonlinear optimization can also be extended to design a dynamic controller. That the matching condition is both necessary and sufficient to control the state arbitrarily close to zero in the presence of unknown but bounded disturbance is also shown. The developed bounded-state controller can be applied to any structures for damage protection. Here the controller is applied to a generic spring-mass system.
机译：为了防止结构损坏，限制振动幅度而不是最小化振动能量是更安全的。这是由于这样的事实，即使在一段时间内振动幅度的平方和最小，在某些时刻振动仍可能超出结构的容许极限。因此，在本文中，我们将使用线性状态/输出反馈和数值优化来解决有限状态控制分析和设计问题。计算了结构响应的最坏情况下的最大振动幅值，用于无穷范数有界初始激励和具有不确定初始条件的控制。基于此计算出的最坏情况下的最大振动幅度，然后开发出非线性优化程序，以设计最佳约束状态控制器。非线性优化也可以扩展为设计动态控制器。还示出了匹配条件对于在未知但有界干扰的情况下将状态任意控制为接近零既必要又充分。所开发的边界状态控制器可应用于任何结构以提供损坏保护。在此，控制器适用于一般的弹簧质量系统。

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