Vickers Nicholas A, Andersson Sean B
Department of Mechanical Engineering, Boston University, Boston, MA 02155 USA.
Division of Systems Engineering, Boston University, Boston, MA 02155 USA.
IFAC Pap OnLine. 2021;54(7):649-654. doi: 10.1016/j.ifacol.2021.08.434. Epub 2021 Sep 15.
We consider the problem of designing a control policy for a laser scanning microscope (LSM) which will minimize the estimation uncertainty when identifying the state and motion model of a fluorescent biological particle. Using the information optimal design framework we pose an optimization problem which seeks to maximize the Fisher information of the particle's state. We then apply optimal control methods to determine the laser trajectory that maximizes a criterion based on the Fisher information. The resulting optimal control policy is a Bang-Singular control which moves the laser to the set of measurement locations that maximize the rate of information accumulation. Simulations demonstrate the ability of the resulting control system to position the laser to measure the particles location with a minimum uncertainty.
我们考虑为激光扫描显微镜（LSM）设计一种控制策略的问题，该策略在识别荧光生物粒子的状态和运动模型时将使估计不确定性最小化。利用信息最优设计框架，我们提出一个优化问题，旨在最大化粒子状态的费希尔信息。然后应用最优控制方法来确定基于费希尔信息最大化一个准则的激光轨迹。所得的最优控制策略是一种Bang-Singular控制，它将激光移动到使信息积累速率最大化的测量位置集。仿真结果表明了所得控制系统能够以最小不确定性将激光定位以测量粒子位置的能力。
