Guaranteed cost control with poles assignment for a flexible air-breathing hypersonic vehicle

Abstract

This article investigates the problem of guaranteed cost control for a flexible air-breathing hypersonic vehicle (FAHV). The FAHV includes intricate coupling between the engine and flight dynamics as well as complex interplay between flexible and rigid modes, which results in an intractable system for the control design. A longitudinal model is adopted for control design due to the complexity of the vehicle. First, for a highly nonlinear and coupled FAHV, a linearised model is established around the trim condition, which includes the state of altitude, velocity, angle of attack, pitch angle and pitch rate, etc. Secondly, by using the Lyapunov approach, performance analysis is carried out for the resulting closed-loop FAHV system, whose criterion with respect to guaranteed performance cost and poles assignment is expressed in the framework of linear matrix inequalities (LMIs). The established criterion exhibits a kind of decoupling between the Lyapunov positivedefinite matrices to be determined and the FAHV system matrices, which is enabled by the introduction of additional slack matrix variables. Thirdly, a convex optimisation problem with LMI constraints is formulated for designing an admissible controller, which guarantees a prescribed performance cost with the simultaneous consideration of poles assignment for the resulting closed-loop system. Finally, some simulation results are provided to show that the guaranteed cost controller could assign the poles into the desired regional and achieve excellent reference altitude and velocity tracking performance. Nomenclature

Neural control of hypersonic flight dynamics with actuator fault and constraint

“…Based on the different way of dealing with the dynamics, the design could be roughly divided into linearization at the trim state [5,6,13,21], input-output linearization [2,22], and back-stepping or dynamic surface design [9,20]. Also, several problems are discussed such as digital control [7], online computation burden [8], nonminimum phase [9], and actuator dynamics [16].…”

Neural control for longitudinal dynamics of hypersonic aircraft

“…The related research is gaining more and more attention since controller design is with numerous challenges stemming from the complexity of the dynamics. Different methods are applied on hypersonic flight control, such as fuzzy control [4], neural control [5], disturbance observer based control [6], T-S fuzzy model based control [7] and pole assignment [8].…”

Nonlinear Robust Control of a Hypersonic Flight Vehicle Using Fuzzy Disturbance Observer

“…Some typical approaches can be much weighted, such as linear parameter-varying control [7], adaptive control [8,9], sliding-mode control [10], gainscheduling, dynamic inversion [11], and H ∞ design [12]. Some other control methods (e.g., linear matrix inequity (LMI)) are based on linearized model by using the small disturbance principle at given trim point [13]. However, most of these methods have much conservation because the controller should be redesigned if the trim points of the system are altered and the calculation is amazingly tremendous.…”

“…Some other novel methods also successfully addressed the uncertainties and disturbance problems, such as in [17]; it used extended Kalman filter to solve the problems of stochastic nonlinearities and multiple missing measurements instead of using observing methods. Nevertheless, in [13,18], the parameters and states in linearized models are all the deviations from the trim point rather than the real ones. Thus, nonlinear analysis methods may be more meaningful in the practical engineering.…”