Abstract
The emphasis of this article lies in the development of a gain scheduling algorithm for the constant dynamic pressure ascent trajectory. Due to the broad flight envelope and nonlinear characteristics of hypersonic vehicles, a design method of adaptive control based on guardian maps is proposed. Two types of ascent trajectory are considered: acceleration within Scram mode and acceleration across the Ram–Scram mode transition. A velocity-based linear parameter varying model of an air-breathing hypersonic vehicle is established. The gain vector of controller is determined via optimal control theory based on linear quadratic regulator technology with the specified flying qualities. With the iteration of proposed guardian maps approach, the set of controller gain vector within the flight envelope is obtained. The results of nonlinear simulation show that the proposed approach of control system design has the ability to ensure the global stability through the flight envelope and to maintain the flying qualities.
Highlights
There has been a sustaining effort devoted to investigating the dynamic model of airbreathing hypersonic vehicles (AHSV) for simulation and control design purposes.[1,2,3]
The controller gain of the nonlinear system can be obtained by synthesizing a sequence of linear time invariable (LTI) controllers. In view of this merit of linear parameter varying (LPV) model, LPV technique is a promising approach to deal with the control design issue for hypersonic vehicles with wide flight envelope and strong uncertainty
One of the main issues for the scramjet-powered AHSV is the operational mode of the propulsion system along the trajectory, known as Ram mode and Scram mode, which depends on the flight conditions and the temperature increased in the burner
Summary
There has been a sustaining effort devoted to investigating the dynamic model of airbreathing hypersonic vehicles (AHSV) for simulation and control design purposes.[1,2,3] Several interesting trade-offs should be taken into consideration for scramjet-powered AHSV. The controller gain of the nonlinear system can be obtained by synthesizing a sequence of linear time invariable (LTI) controllers In view of this merit of LPV model, LPV technique is a promising approach to deal with the control design issue for hypersonic vehicles with wide flight envelope and strong uncertainty. A velocity-based LPV model of AHSV is established and an adaptive linear quadratic regulator (LQR) controller design method for the full trajectory is proposed. One of the main issues for the scramjet-powered AHSV is the operational mode of the propulsion system along the trajectory, known as Ram mode and Scram mode, which depends on the flight conditions and the temperature increased in the burner. With the extension of state xTe 1⁄4 1⁄2x; x_; u, the nonlinear system (25) can be reformulated as the following linear form
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