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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。
In view of the space flexible structure, the global optimization problem of actuator / sensor configuration and controller gain in vibration active control is studied. Firstly, the objective function based on the maximum power dissipation criterion is established by using the state space model of the space flexible structure. The optimization problem is reduced to a constrained nonlinear optimization problem, and then a decimal floating-point coding Genetic algorithm, and fusion, designed some simple and excellent genetic operation, making the optimization process does not depend on the initial value, but also can quickly and reliably find the global optimal solution. An example of single-point cantilever beam configuration is given, which proves the feasibility and superiority of this algorithm.