2018/08/24 by Mateus de Freitas Virgílio Pereira, Pereira, Mateus de Freitas Virgilio, Igor Afonso Acampora Prado +5
Decision Sciences · Engineering · #Aerospace and Aviation Technology #Control Systems and Identification #FOS: Electrical engineering #Probabilistic and Robust Engineering Design #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1808.08002
openalex publication_date 2018/08/24 · openalex created_date 2018/08/31 · openalex updated_date 2026/07/28
In this work we present a nonlinear adaptive suboptimal control strategy for uncertain nonlinear systems. Stochastic parametric uncertainty is dealt with by employing spectral decomposition of the random variables by means of the generalized polynomial chaos expansion. The projection of uncertainty onto the orthogonal polynomial basis, prescribed by the Wiener-Askey scheme, provides a deterministic model from which the control laws are designed. We apply the nonlinear feedback control law to an automatic pilot system for recovering an aircraft with uncertain aerodynamic data from stall while providing acceptable dynamic response. The control law is obtained by approximating the Hamilton-Jacobi-Bellman equation by a pertubational procedure and asymptotic weak stability in probability of the controlled nonlinear system is verified in a deterministic way.