Robust control optimization method based on genetic algorithm

Abstract

The invention provides a robust control optimization method based on a genetic algorithm. The robust control optimization method comprises the steps of: step 1, determining a transfer function of weighting functions W1, W2 and W3 of a controlled object; and step 2, optimizing K1 and omega c by adopting the genetic algorithm, and outputting an H infinite controller. According to the robust control optimization method, the genetic algorithm is introduced into a robust control method, the parameters of the weighting functions of the controlled object are optimized, parameter optimization accuracy degree of weighting functions is increased, the obtained robust H infinite controller can optimize performance of the controlled object within a restrain range, the application range is wider, the design is simple and the use is more flexible; moreover, by introducing the particle swarm algorithm into the robust control method, the disadvantage that selection of weighting functions in a robust H infinite controller in the prior art depends on expert experiences is eliminated, so that an inexperienced scholar can construct weighting functions easily and reasonably, and the optimal robust H infinite controller can be obtained.

Description

technical field [0001] The invention belongs to the technical field of robust control, in particular to a genetic algorithm-based robust control optimization method. Background technique [0002] Since the early 1980s, the robust control theory developed rapidly on the framework of modern control theory, due to its consideration of system parameter uncertainty and external disturbance uncertainty, it studies the robust performance analysis and synthesis of the system , which makes up for the defect that modern control theory requires precise mathematical models of objects, and makes systematic analysis and synthesis methods more effective and practical. [0003] Robust H ∞ The main technical problem encountered in the design of the controller at this stage is the need to construct a weighting function during the design process, which plays a decisive role in the controller. However, the existing theory and technology do not have a unified formal method for the construction ...

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Problems solved by technology

[0003] Robust H ∞ The main technical problem encountered in the design of the controller at this stage is the need to construct a weighting function during the design process, which plays a decisive role in the controller. However, the existing theory and technology do not have a unified formal method for the construction of the weighting function. Fan Shujun In "Simulation Research on H∞ Mixed Sensitivity Design Problem" (Harbin Institute of Technology Master's Degree Thesis, 2010), the constraints of the weighted matrix are given

However, these constraints are not practical for how to quickly construct weighting functions of different control objects, and the experience is strong, so it is difficult to integrate the advanced robust H ∞ Control is widely used in industry

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