Polynomial Chaos-Based Flight Control Optimization with Guaranteed Probabilistic Performance⁎⁎The first author wants to acknowledge the financial support from China Scholarship Council (CSC) on his doctoral study at TUM

• Published in: IFAC-PapersOnLine Vol. 53; no. 2; pp. 7274 - 7279
• Main Authors: Shi, Dalong, Fang, Xiang, Holzapfel, Florian
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 2020
• Subjects: Flight control optimization; Polynomial chaos expansion; Probabilistic performance; Flight control optimization; Probabilistic performance; Polynomial chaos expansion
• ISSN: 2405-8963; 2405-8963
• DOI: 10.1016/j.ifacol.2020.12.565

A probabilistic performance-oriented controller design approach based on polynomial chaos expansion and optimization is proposed for flight dynamic systems. Unlike robust control techniques where uncertainties are conservatively handled, the proposed method aims at propagating uncertainties effectively and optimizing control parameters to satisfy the probabilistic requirements directly. To achieve this, the sensitivities of violation probabilities are evaluated by the expansion coefficients and the fourth moment method for reliability analysis, after which an optimization that minimizes failure probability under chance constraints is conducted. Afterward, a time-dependent polynomial chaos expansion is performed to validate the results. With this approach, the failure probability is reduced while guaranteeing the closed-loop performance, thus increasing the safety margin. Simulations are carried out on a longitudinal model subject to uncertain parameters to demonstrate the effectiveness of this approach.