Prescribed performance fuzzy back-stepping control of a flexible air-breathing hypersonic vehicle subject to input const
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Prescribed performance fuzzy back-stepping control of a flexible air-breathing hypersonic vehicle subject to input constraints Hanqiao Huang1 · Chang Luo2
· Bo Han3
Received: 26 May 2020 / Accepted: 18 August 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract The design of prescribed performance fuzzy back-stepping tracking control for a flexible air-breathing hypersonic vehicle (FAHV) with actuator constraints is discussed. Fuzzy logic systems (FLSs) are applied to approximate the lumped uncertainty of each subsystem of the FAHV model. Every FLS contains only one adaptive parameter that needs to be updated online with a minimal-learning-parameter scheme. The sliding mode differentiator is introduced to obtain the derivatives of the virtual control laws, which avoid the explosion of the differentiation term in traditional back-stepping control. To further improve the control performance, a prescribed performance function characterizing the error convergence rate, maximum overshoot and steady-state error is utilized for the output error transformation. In particular, novel auxiliary systems are explored to handle input saturation. Fuzzy backstep control has obvious advantages in system robustness, control accuracy and highly real-time. Finally, reference trajectory tracking simulations show the effectiveness of the proposed method regarding air-breathing hypersonic vehicle control applications. Keywords Flexible air-breathing hypersonic vehicle · Adaptive fuzzy control · Input constraints · Prescribed performance
Introduction Recently, flexible air-breathing hypersonic vehicles (FAHVs) have received much attention because they can facilitate access to outer space(Zhao and Zhou 2013; Wang et al. 2016; Faa-Jeng et al. 2018). A key issue in making hypersonic vehicles feasible and efficient is the flight control design (Zong et al. 2014; Wang et al. 2014). Due to the peculiar characteristics of the vehicle dynamics, the design of control for FAHVs with superior robustness and accuracy is a more challenging problem than that for conventional vehicles (Museros et al. 2012). During the past few years, conventional and nonlinear techniques have received intensive focus in FAHV control, including gain-scheduling (Kuipers and Ioannou 2008; Morani et al. 2019), feedback linearization (Jennifer and John
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Chang Luo [email protected]
1
Unmanned System Research Institute, Northwestern Polytechnical University, Xi’an 710072, China
2
Troops of 78092, Chengdu 610000, China
3
Aeronautics Engineering College, Air Force Engineering University, Xi’an 710038, China
2001; Lee 2007), slide-mode (Plestan et al. 2010; Ravi Teja et al. 2018) and back-stepping (Ravi Teja et al. 2018; Wang et al. 2015, 2016). The back-stepping design for nonlinear systems consists of a recursive design procedure that breaks down the full system control problem into a sequence of designs for lower-order subsystems. However, the approach has led to the problem “explosion of complexity” because of repeated differentiat
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