注意作为控制问题的设计准则和分析工具Attention as a Design Criterion and Analysis Tool in Control Problems |
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课程网址: | http://videolectures.net/cyberstat2012_brockett_attention_control... |
主讲教师: | Roger W. Brockett |
开课单位: | 哈佛大学 |
开课时间: | 2012-10-16 |
课程语种: | 英语 |
中文简介: | 我们可能有理由相信为什么最优控制理论在理解生物学中发现的控制机制方面没有用。其中的问题包括理解对单个细胞的操作的控制到整个生物体的运动控制。鉴于进化已经存在,只要它必须优化大脑和肌肉/骨骼结构,为什么我们找不到最佳控制理论来更有效地解释这些结构?在工程设置中更关键地看待最优控制理论,人们观察到有很多应用,其中实现感测信号和控制变量之间“最佳”关系的回报并不能证明实现它所需的设备成本是合理的。 。例如,在大量消费品中,例如洗碗机和干衣机,感知水或空气的温度是便宜的,但是与实现混合水的温度和来自水的温度之间的线性关系相关的益处。冷热水管线不能证明成本合理。使用简单的开关控制可获得可接受的性能。即使在音频设备的情况下,对于非常接近线性的建筑系统也有回报,线性的好处仅限于有限的幅度范围和频率的子集。问题的核心是标准最优控制理论没有提供合并实施成本的机制。在本次演讲中,我们描述了基于Liouville方程的控制问题的表达式,该方程允许设计者平衡实现成本与结果轨迹的质量。 |
课程简介: | We may reasonably why optimal control theory has not been more useful in understanding the control mechanisms found in biology. The questions there range from understanding control of the operation of an individual cell to the motor control of the complete organism. Given that evolution has had as long as it has to optimize brain and muscle/skeletal structures, why is that we don't find optimal control theory to be more effective in explaining these structures? Looking more critically at optimal control theory in an engineering setting, one observes that there are a great many applications in which the payoff for implementing an "optimal" relationship between sensed signals and control variables does not justify the cost of the equipment needed to achieve it. For example, in high volume consumer goods, such as dish washers and clothes dryers, it is inexpensive to sense the temperature of the water or air but the benefits associated with implementing a linear relationship between the temperature of the mixed water and the flow from the hot and cold water lines do not justify the cost. Acceptable performance is obtainable using a simple on-off control. Even in the case of audio equipment, where there is a payoff for building systems that are very close to linear, the benefits of linearity are confined to finite range of amplitudes and a subset of frequencies. At the heart of the problem is the fact that standard optimal control theory provides no mechanisms to incorporate implementation costs. In this talk we describe a formulation of control problems based on the Liouville equation that allows the designers to balance implementation costs with the quality of the resulting trajectories. |
关 键 词: | 最优控制理论; 生物学; 工程设置中 |
课程来源: | 视频讲座网 |
最后编审: | 2019-03-13:lxf |
阅读次数: | 93 |