A probabilistic robust mixed H2/H∞ fuzzy control method for hypersonic vehicles based on reliability theory

Xiaomeng Yin,Lei Liu,Xing Wei,Yongji Wang,Xinming Li

doi:10.1177/1729881417754153

Xiaomeng Yin, Lei Liu + Show 3 more

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https://doi.org/10.1177/1729881417754153

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Achieving balance between robustness and performance is always a challenge in the hypersonic vehicle flight control design. In this research, we focus on dealing with uncertainties of the fuzzy control system from the viewpoint of reliability. A probabilistic robust mixed H2/ H∞ fuzzy control method for hypersonic vehicles is presented by describing the uncertain parameters as random variables. First, a Takagi–Sugeno fuzzy model is employed for the hypersonic vehicle nonlinear dynamics characteristics. Next, a robust fuzzy controller is developed by solving a reliability-based multi-objective linear matrix inequality optimization problem, in which the H2/ H∞ performance is optimized under the condition that the system is robustly reliable to uncertainties. By this method, the system performance and reliability can be taken into account simultaneously, which reduces the conservatism in the robust fuzzy control design. Finally, simulation results of a hypersonic vehicle demonstrate the feasibility and effectiveness of the presented method.

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Hypersonic vehicles (HVs) are envisioned to be a reliable and more cost-efficient way to access space by reducing flight time
The results show that the fuzzy rules and the robustly reliable fuzzy control design
The problem of robust fuzzy control of the uncertain HV system was studied from the viewpoint of reliability

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Hypersonic vehicles (HVs) are envisioned to be a reliable and more cost-efficient way to access space by reducing flight time. Flight control of HVs is more challenging since the distinctive coupling and nonlinear characteristics of the dynamics. Various techniques have been studied for dealing with parameter variations and uncertainties, such as robust control,[1,2,3] adaptive control,[4] sliding mode control,[5,6,7,8] and so on. H1 control theory was developed for the precision guidance problem by Savkin.[2] many intelligent control techniques[9,10,11,12,13] have been proposed for the nonlinear characteristics in the flight control design. Mu et al.[9] provided a method based on adaptive dynamic programing to track a desired trajectory of HV.

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