Robust Nonlinear Control of a Hypersonic Aircraft

Lyapunov-Based Exponential Tracking Control of a Hypersonic Aircraft with Aerothermoelastic Effects

“…Also in Eqs. (1)(2)(3)(4)(5)(6), m 2 R denotes the vehicle mass; I yy 2 R is the moment of inertia; g 2 R is the acceleration due to gravity; i t, ! i t 2 R are the damping factor and natural frequency of the ith flexible mode, respectively; Tx 2 R denotes the thrust; Dx 2 R denotes the drag; Lx 2 R is the lift; Mx 2 R is the pitching moment about the body y axis; and N i x 2 R 8i 1, 2, 3 denotes the generalized elastic forces, where xt 2 R 11 is composed of the five flight and six structural dynamic states as…”

“…For example, HSV flight controllers are designed using genetic algorithms to search a design parameter space in which the nonlinear longitudinal equations of motion contain uncertain parameters [5][6][7]. Some of these designs use Monte Carlo simulations to estimate system robustness at each search iteration.…”

“…Another approach [7] is to use fuzzy logic to control the attitude of the HSV about a single low-end flight condition. While such approaches [5][6][7] generate stabilizing controllers, the procedures are computationally demanding and require multiple evaluation simulations of the objective function and have large convergent times. An adaptive gain-scheduled controller [8] was designed using estimates of the scheduled parameters, and a semi-optimal controller is developed to adaptively attain H 1 control performance.…”

“…In the context of the aforementioned literature, the contribution of the current effort (and the preliminary effort by the authors [6]) is the development of a controller that achieves exponential model reference output tracking despite an uncertain model of the HSV that includes nonvanishing exogenous disturbances. A nonlinear temperature-dependent parameter-varying state-space representation is used to capture the aerothermoelastic effects and unmodeled uncertainties in a HSV.…”

Observer Based Dynamic Surface Control of A Hypersonic Flight Vehicle

“…A robust solution is also obtained by using robust minimax Linear Quadratic Regulator design, which is based on a feedback linearized model of the nominal nonlinear dynamics of the AHFV with uncertain parameters [2]. Nonlinear dynamic inversion has also been utilized to assist in the design of robust controllers [3,4]. For ensuring satisfactory performance of the aircraft for a wider flight envelope, the control structure requires an adaptive mechanism.…”