Abstract
This paper focuses on the linear parameter varying (LPV) modeling and controller design for a flexible air-breathing hypersonic vehicle (AHV). Firstly, by selecting the measurable altitude and velocity as gain-scheduled variables, the original longitudinal nonlinear model for AHV is transformed into the LPV model via average gridding division, vertex trimming, Jacobian linearization, and multiple linear regression within the entire flight envelope. Secondly, using the tensor product model transformation method, the obtained LPV model is converted into the polytopic LPV model via high-order singular value decomposition (HOSVD). Third, the validity and applicability of the HOSVD-based LPV model are further demonstrated by designing a robust controller for command tracking control during maneuvering flight over a large envelope.
Highlights
Since the 50s and 60s of the 20th century, with the series of events such as the advent of long-range ballistic missiles, the successful return of manned spacecraft, and the X-15 test aircraft velocity faster than Mach 6, it marked that mankind formally entered the era of hypersonic velocity
Comparing the zero-pole positions of the two methods at the same equilibrium point, we can find that the zeropole positions of the two methods are very close, which indicates that the polytopic linear parameter varying (LPV) model based on the transformation of the tensor product model accurately reflects the dynamic characteristics of longitudinal elasticity nonlinear models of the hypersonic vehicle
Aiming at a type of hypersonic vehicle longitudinal elasticity model disclosed in the existing literature, altitude and velocity are selected as the gain-scheduled variables, through a series of sequential steps such as meshing within the range of parameter variation, finding equilibrium points, Jacobian linearization, and multivariate linear fitting; the continuoustime LPV model of the aircraft is established
Summary
Since the 50s and 60s of the 20th century, with the series of events such as the advent of long-range ballistic missiles, the successful return of manned spacecraft, and the X-15 test aircraft velocity faster than Mach 6, it marked that mankind formally entered the era of hypersonic velocity. The hypersonic vehicle has taken advantages of both spacecraft and aircraft and has become the new technological commanding point in the 21st century aerospace field. Yang proposed a fault-tolerant controller based on robust model-predictive control and A polytopic LPV model for A hypersonic vehicle with external disturbances and actuator loss of effectiveness faults [16]. Flight parameter changes of large package flight, elastic vibration deformation of aircraft, and other factors are regarded as internal factors leading to system uncertainty Factors such as the complex flight environment, dynamic pressure effect, aerodynamic thermal effect, and the frictional resistance effect are regarded as external disturbances. The attitude stability and command tracking issues during the hypersonic vehicle maneuvering flight in large envelope are transformed into the robust controller synthesis and guaranteed performance control of the uncertain disturbance system. A robust controller is designed based on the obtained aircraft polytopic LPV model, which verifies the effectiveness of the aircraft polytopic LPV model in the command tracking control of aircraft maneuvering flight in large envelopes
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