Optimal Transport Approach for Probabilistic Robustness Analysis of F-16 Controllers

This paper presents a new framework for controller robustness verification with respect to an F-16 aircraft's closed-loop performance in longitudinal flight. The state regulation performance of a linear quadratic regulator and a gain-scheduled linear quadratic regulator are compared, where both...

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Bibliographic Details
Published in:Journal of guidance, control, and dynamics control, and dynamics, 2015-10, Vol.38 (10), p.1935-1946
Main Authors: Halder, Abhishek, Lee, Kooktae, Bhattacharya, Raktim
Format: Article
Language:English
Subjects:
Accuracy
Actuators
Aerospace engineering
Aircraft
Aircraft performance
Approximation
Computer simulation
Control algorithms
Controllers
Disturbances
Initial conditions
Linear quadratic regulator
Military aircraft
Nonlinear dynamics
Nonlinear systems
Nonlinearity
Probability theory
Robust control
State regulation
Transient performance
Uncertainty
Verification
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Summary:This paper presents a new framework for controller robustness verification with respect to an F-16 aircraft's closed-loop performance in longitudinal flight. The state regulation performance of a linear quadratic regulator and a gain-scheduled linear quadratic regulator are compared, where both controllers are applied to nonlinear open-loop dynamics of an F-16, in the presence of stochastic initial condition and parametric uncertainties, as well as actuator disturbance. It is shown that, in the presence of initial condition uncertainties alone, both the linear quadratic regulator and gain-scheduled linear quadratic regulator have comparable immediate and asymptotic performances, but the gain-scheduled linear quadratic regulator exhibits better transient performance at intermediate times. This remains true in the presence of additional actuator disturbance. Also, the gain-scheduled linear quadratic regulator is shown to be more robust than the linear quadratic regulator against parametric uncertainties. The probabilistic framework proposed here leverages transfer-operator-based density computation in exact arithmetic and introduces optimal transport theoretic performance validation and verification for nonlinear dynamical systems. Numerical results from the proposed method are in unison with Monte Carlo simulations.
ISSN:0731-5090
1533-3884
DOI:10.2514/1.G000386