Abstract
This article aims to develop observer-based linear parameter varying output feedback H∞ tracking controller for hypersonic vehicles. Due to the complexity of an original nonlinear model of the hypersonic vehicle dynamics, a slow–fast loop linear parameter varying polytopic model is introduced for system stability analysis and controller design. Then, a state observer is developed by linear parameter varying technique in order to estimate the unmeasured attitude angular for slow loop system. Also, based on the designed linear parameter varying state observer, a kind of attitude tracking controller is presented to reduce tracking errors for all bounded reference attitude angular inputs. The closed-loop linear parameter varying system is proved to be quadratically stable by Lypapunov function technique. Finally, simulation results show that the developed linear parameter varying H∞ controller has good tracking capability for reference commands.
Highlights
National Aeronautics and Space Administration and the US Air Force have focused on the research of hypersonic vehicles for many years because of their military and commercial applications
Among various hypersonic vehicle research programs, the air-breathing hypersonic vehicle (AHV) is a kind of aircraft which is widely studied in the world
The hypersonic vehicle attitude control model can be written as the follow slow loop and fast loop polytopic linear parameter varying (LPV)
Summary
National Aeronautics and Space Administration and the US Air Force have focused on the research of hypersonic vehicles for many years because of their military and commercial applications. Linear control techniques are used to design linear controller for many hypersonic vehicles, for example, guaranteed cost control,[5] fault-tolerant tracking control,[6] linear quadratic regulator control,[7] and so on In these results, the first step need to do is to develop a linear model for the complex nonlinear hypersonic vehicle system by linearized method. Under considering flexibility effects, a gain scheduling controller is developed for a kind of flexible AHV in the study by Ge et al.[19] the state information cannot be obtained directly in many practical nonlinear complex systems. A kind of robust output feedback control method is presented for a nonlinear model of an AHV in the study by Sigthorsson et al.[20] Using only limited state information, the developed controller can realize excellent tracking responses. The control performances of the presented attitude tracking controller is illustrated by numerical simulation
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