Control and Electrical Engineering Department, "Dunarea de Jos" University, 800008 Galati, Romania.
Informatics Department, "Danubius" University, 800654 Galati, Romania.
Sensors (Basel). 2021 Dec 2;21(23):8065. doi: 10.3390/s21238065.
A metaheuristic algorithm can be a realistic solution when optimal control problems require a significant computational effort. The problem stated in this work concerns the optimal control of microalgae growth in an artificially lighted photobioreactor working in batch mode. The process and the dynamic model are very well known and have been validated in previous papers. The control solution is a closed-loop structure whose controller generates predicted control sequences. An efficient way to make optimal predictions is to use a metaheuristic algorithm, the particle swarm optimization algorithm. Even if this metaheuristic is efficient in treating predictions with a very large prediction horizon, the main objective of this paper is to find a tool to reduce the controller's computational complexity. We propose a soft sensor that gives information used to reduce the interval where the control input's values are placed in each sampling period. The sensor is based on measurement of the biomass concentration and numerical integration of the process model. The returned information concerns the specific growth rate of microalgae and the biomass yield on light energy. Algorithms, which can be used in real-time implementation, are proposed for all modules involved in the simulation series. Details concerning the implementation of the closed loop, controller, and soft sensor are presented. The simulation results prove that the soft sensor leads to a significant decrease in computational complexity.
当最优控制问题需要大量计算时,元启发式算法可以成为一种现实的解决方案。这项工作中所提出的问题涉及在以批量模式运行的人工光照光生物反应器中控制微藻生长的最优控制。该过程和动态模型是众所周知的,并且在以前的论文中已经得到验证。控制解决方案是一个闭环结构,其控制器生成预测控制序列。实现最优预测的有效方法是使用元启发式算法,即粒子群优化算法。即使这种元启发式算法在处理具有非常大预测范围的预测时非常有效,但本文的主要目标是找到一种工具来降低控制器的计算复杂度。我们提出了一种软传感器,它提供了用于减少每个采样周期中控制输入值放置的间隔的信息。该传感器基于生物质浓度的测量和过程模型的数值积分。返回的信息涉及微藻的比生长速率和光能的生物质产率。为模拟系列中涉及的所有模块提出了可用于实时实现的算法。介绍了闭环、控制器和软传感器的实现细节。仿真结果证明了软传感器可显著降低计算复杂度。