作动器／传感器配置优化的遗传算法应用

针对空间柔性结构,研究了振动主动控制中作动器/传感器的配置和控制器增益的全局优化问题。首先采用空间柔性结构的状态空间模型建立了以最大耗能准则为基础的目标函数,将优化问题归结为一个有约束的非线性优化问题,然后根据其特点,采用了一种十进制浮点数编码的遗传算法,并融合、设计了一些简单且优良的遗传操作,使得优化过程不依赖于初值,而且可以快速可靠地求得全局最优解。通过一个悬臂梁单点同位配置算例,证明了该算法的可行性和优越性。

Global Optimization of Actuators/Sensors Placement Using a Float-Encoding Genetic Algorithm

The global optimization of actuators/sensors placement and feedback gains for the vibration control of flexible systems is studied in this paper.First,the performance function is developed based on the maximization of dissipation energy due to control action.The problem can be expressed as a nonlinear optimization problem with constraints.Then according to its characteristic,a float encoding genetic algorithm is put forward, which can produce a global optimal solution for this problem.Some simple and excellent corresponding genetic operations are designed.An outstanding advantage of the method is its simplicity.Because of its independence to initial value,another obvious advantage is its relibility since the optimization process never gets stuck at a local optimum.A collocated cantilever beam example is studied to demonstrate presented approach,and the obtained results are very satisfied.