The optimal robust controller based on the adaptive parallel genetic algorithm in uncertain domains. (Chinese. English summary) Zbl 1265.93071

Hu, Xiaoqing; Xu, Bugong

Control Theory Appl. 29, No. 4, 433-439 (2012).

Summary: In most of the existing robust controller designs based on the genetic algorithm, the search domains of variable are factitiously assigned. For undefined search domains, we propose a novel method for designing an optimal robust controller based on the adaptive parallel genetic algorithm. According to the distribution of the best individuals of each population in the current search, the algorithm narrows the uncertain search domain of variables by using the probability and statistics theory, so as to gradually achieve the optimum. Moreover, the impact of the individual fitness on the crossover probability and mutation probability is also investigated. By using this method, we design a simple, proper and low-order optimal robust controller, which effectively avoids the local optimum and improves the convergence and accuracy in simulation experiments.

MSC:

93B35	Sensitivity (robustness)
93C40	Adaptive control/observation systems
90C59	Approximation methods and heuristics in mathematical programming
93D09	Robust stability
93E03	Stochastic systems in control theory (general)

Keywords:

uncertain domain; optimal control; parallel genetic algorithm; robust stability; optimal robust controller; crossover probability; mutation probability; individual fitness; search domains