Gain Scheduling with Guardian Maps for Longitudinal Flight Control

Abstract

Q2 A new approach to gain scheduling of linear controllers is proposed and applied to a longitudinal flight control problem. Traditionally, gain scheduling is done a posteriori by the interpolation of controller gains designed for several operating points or conditions. The method proposed here is based on guardian maps and does not require as many linear controller syntheses as there are design points. Rather, it extends the performance of an initial single controller carried out on an arbitrary operating point to the entire domain while ensuring generalized stability all along the process. The method, which uses a given fixed architecture controller, is successfully applied on the longitudinal flight control of a business jet aircraft. Nomenclature M = Mach number n z = normal load factor, g q = pitch rate, deg =s w = normal velocity perturbation, m=s c = commanded elevator angle deflection, rad e = elevator angle deflection, rad = downwash angle, rad

The ROSACE case study: From Simulink specification to multi/many-core execution

“…To this end, the controller must somehow "evolve" with the flight condition [9]. For decades now, the engineers have resorted to gain-scheduling techniques to design electronic flight control systems [10], [11]. Essentially, the gain-scheduling approach consists of choosing a finite set of operating points (i.e., flight conditions) distributed throughout the flight envelope and designing a corresponding set of linear controllers to locally achieve stability and performance.…”

Adaptive control law design based on guardian maps theory for Mars airplane

“…If all eigenvalues of the closed system matrix A lie in the left half plane, and then the region ( , , ) α ξ ω Λ Λ Λ Λ Ω = Ω selected can cover these eigenvalues, so we have [12] max{ , }…”

“…In the practical application, the guardian maps theory is introduced to design the flight controller in accordance with the respected flight qualities such as the bandwidth frequency, the amplitude margin and the phase margin in [11]. Also, a new method to gain scheduling is proposed to a longitudinal flight control system design in [12], and this control law is applied to a business jet aircraft for the purpose of ensuring generalized stability.…”

Application of guardian maps theory in flight control system design for aircraft model

“…Theoretically, the design process based on the linearized model is easy to realize, but system stability is difficult to prove. Alternatively, the design course based on the LPV model is conservative and strict to implement in the practical application due to the complicated computing operation in relation to the generalized stability requirements [4]. Therefore, the compromise design for the flight control system needs to be considered according to some advanced stability concepts in order to guarantee system stability and engineering realization demands.…”