Three-time scale singular perturbation control and stability analysis for an autonomous helicopter on a platform

2012 ◽  
Vol 23 (12) ◽  
pp. 1360-1392 ◽  
Author(s):  
S. Esteban ◽  
F. Gordillo ◽  
J. Aracil
Keyword(s):  
Stability Analysis ◽  
Singular Perturbation ◽  
Time Scale ◽  
Autonomous Helicopter

Three-Time-Scale Singular Perturbation Stability Analysis of Three-Phase Power Converters

2013 ◽  
Vol 16 (5) ◽  
pp. 1361-1372 ◽  
Author(s):  
Francisco Umbría ◽  
Javier Aracil ◽  
Francisco Gordillo ◽  
Francisco Salas ◽  
Juan Antonio Sánchez
Keyword(s):  
Stability Analysis ◽  
Singular Perturbation ◽  
Time Scale ◽  
Power Converters ◽  
Three Phase

Modeling and stability analysis of multi-time scale DC microgrid

2016 ◽  
Vol 140 ◽  
pp. 906-916 ◽  
Author(s):  
Nanfang Yang ◽  
Babak Nahid-Mobarakeh ◽  
Fei Gao ◽  
Damien Paire ◽  
Abdellatif Miraoui ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Time Scale ◽  
Dc Microgrid

Singular Perturbation Modeling of Nonlinear Processes with Non Explicit Time-Scale Separation

1996 ◽  
Vol 29 (1) ◽  
pp. 5799-5804 ◽  
Author(s):  
Aditya Kumar ◽  
Panagiotis D. Christofides ◽  
Prodromos Daoutidis
Keyword(s):  
Singular Perturbation ◽  
Time Scale ◽  
Nonlinear Processes ◽  
Scale Separation ◽  
Time Scale Separation

Optimal perturbation guidance with constraints on terminal flight-path angle and angle of attack

2019 ◽  
Vol 233 (12) ◽  
pp. 4436-4446
Author(s):  
Penglei Zhao ◽  
Wanchun Chen ◽  
Wenbin Yu
Keyword(s):  
Optimal Control ◽  
Singular Perturbation ◽  
Time Scale ◽  
Angle Of Attack ◽  
Flight Path ◽  
Superior Performance ◽  
Optimal Perturbation ◽  
Optimal Guidance ◽  
Flight Path Angle ◽  
Guidance Problem

This paper presents the design of a singular-perturbation-based optimal guidance with constraints on terminal flight-path angle and angle of attack. By modeling the flight-control system dynamics as a first-order system, the angle of attack is introduced into the performance index as a state variable. To solve the resulting high-order optimal guidance problem analytically, the posed optimal guidance problem is divided into two sub-problems by utilizing the singular perturbation method according to two time scales: range, altitude, and flight-path angle are the slow time-scale variables while the angle of attack is the fast time-scale variable. The outer solutions are the optimal control of the slow-scale subsystem. Thereafter, by applying the stretching transformation, the fast-scale subsystem establishes the relationships between the outer solutions and acceleration command. Then, the optimal command can be obtained by solving the fast-scale subsystem also using the optimal control theory. The proposed guidance can achieve a near-zero terminal acceleration as well as a small miss distance. The superior performance of the guidance is demonstrated by adequate trajectory simulations.

Sign in / Sign up

Export Citation Format

Share Document