Nonlinear Robust Roll Autopilot Design Using Sum-of-Squares Optimization

2018 ◽  
Vol 140 (11) ◽  
Author(s):  
Sajjad Pak Khesal ◽  
Iman Mohammadzaman
Keyword(s):  
Flight Control ◽  
State Feedback ◽  
Controller Design ◽  
Robust Stabilization ◽  
Sum Of Squares ◽  
Convexity Property ◽  
Roll Control ◽  
Fundamental Part ◽  
Nonlinear State ◽  
Nonlinear Robust

In this paper, we study nonlinear robust stabilization of roll channel of a pursuit using the sum of squares (SOS) technique. Roll control is a fundamental part of flight control for every pursuit. A nonlinear state feedback controller is designed based on a new stability criterion which can be viewed as a dual to Lyapunov's second theorem. This criterion has a convexity property, which is used for controller design with convex optimization. Furthermore, using generalized S-procedure lemma robustness of the controller is guaranteed. The performance of the proposed method for roll autopilot is verified via numerical simulations.

scholarly journals On finite-time robust stabilization via nonlinear state feedback

2018 ◽  
Vol 28 (16) ◽  
pp. 4951-4965 ◽  
Author(s):  
K. Zimenko ◽  
A. Polyakov ◽  
D. Efimov
Keyword(s):  
Finite Time ◽  
State Feedback ◽  
Robust Stabilization ◽  
Nonlinear State

Robust Nonlinear Control Design for a Hypersonic Aircraft Using Sum–of–Squares Method

2010 ◽  
Author(s):  
Armin Ataei-Esfahani ◽  
Qian Wang
Keyword(s):  
Controller Design ◽  
Sum Of Squares ◽  
Nonlinear Controller ◽  
Robust Controller ◽  
Robust Nonlinear Control ◽  
New Approach ◽  
Aircraft Model ◽  
Hypersonic Aircraft ◽  
Robust Nonlinear Controller ◽  
Nonlinear Robust

In recent years, Sum–Of–Squares (SOS) method has attracted increasing interest as a new approach for stability analysis and controller design of nonlinear dynamic systems. This paper utilizes SOS method to design a robust nonlinear controller for longitudinal dynamics of a hypersonic aircraft model. Specifically, the searching of the nonlinear robust controller is reformulated as a robust SOS/robust LMI problem, and then solved via a stochastic iterative algorithm. As the simulation results show, the designed controller is capable of stabilizing the aircraft and following pilot commands in presence of parametric uncertainties in the aircraft model.

scholarly journals Aircraft Flight Stabilizer System by CDM Designed Servo State-Feedback Controller

Aerospace ◽  
2021 ◽  
Vol 8 (2) ◽  
pp. 45
Author(s):  
Ekachai Asa ◽  
Yoshio Yamamoto
Keyword(s):  
Flight Control ◽  
State Feedback ◽  
Controller Design ◽  
Nonlinear Models ◽  
Feedback System ◽  
Flight Control System ◽  
Diagram Method ◽  
Performance Requirement ◽  
Directional Motion ◽  
Coefficient Diagram Method

This research presents an automatic flight control system whose advantage is its ease of modification or maintenance while still effectively meeting the system’s performance requirement. This research proposes a mixed servo state-feedback system for controlling aircraft longitudinal and lateral-directional motion simultaneously based on the coefficient diagram method or CDM as the controller design methodology. The structure of this mixed servo state-feedback system is intuitive and straightforward, while CDM’s design processes are clear. Simulation results with aircraft linear and nonlinear models exhibit excellent performance in stabilizing and tracking the reference commands for both longitudinal and lateral-directional motion.

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