scholarly journals Two-Time Scale Virtual Sensor Design for Vibration Observation of a Translational Flexible-Link Manipulator Based on Singular Perturbation and Differential Games

Sensors ◽  
2016 ◽  
Vol 16 (11) ◽  
pp. 1804 ◽  
Author(s):  
Jinyong Ju ◽  
Wei Li ◽  
Yuqiao Wang ◽  
Mengbao Fan ◽  
Xuefeng Yang
Keyword(s):  
Singular Perturbation ◽  
Differential Games ◽  
Time Scale ◽  
Sensor Design ◽  
Flexible Link ◽  
Virtual Sensor

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.

Singular perturbation modeling of nonlinear processes with nonexplicit time-scale multiplicity

1998 ◽  
Vol 53 (8) ◽  
pp. 1491-1504 ◽  
Author(s):  
Aditya Kumar ◽  
Panagiotis D. Christofides ◽  
Prodromos Daoutidis
Keyword(s):  
Singular Perturbation ◽  
Time Scale ◽  
Nonlinear Processes

scholarly journals The initial time layer problem and the quasineutral limit in the semiconductor drift-diffusion model

2001 ◽  
Vol 12 (4) ◽  
pp. 497-512 ◽  
Author(s):  
INGENUIN GASSER ◽  
C. DAVID LEVERMORE ◽  
PETER A. MARKOWICH ◽  
CHRISTIAN SCHMEISER
Keyword(s):  
Singular Perturbation ◽  
Diffusion Model ◽  
Time Scale ◽  
Initial Time ◽  
Mathematical Tool ◽  
Drift Diffusion Model ◽  
Drift Diffusion ◽  
Time Layer ◽  
Quasineutral Limit ◽  
Layer Problem

The classical time-dependent drift-diffusion model for semiconductors is considered for small scaled Debye length (which is a singular perturbation parameter). The corresponding limit is carried out on both the dielectric relaxation time scale and the diffusion time scale. The latter is a quasineutral limit, and the former can be interpreted as an initial time layer problem. The main mathematical tool for the analytically rigorous singular perturbation theory of this paper is the (physical) entropy of the system.

scholarly journals Output-Feedback Control for Path Following of Autonomous Underwater Vehicles via Singular Perturbation Technique

2021 ◽  
Author(s):  
Ming Lei ◽  
Ye Li ◽  
Shuo Pang
Keyword(s):  
Singular Perturbation ◽  
Output Feedback ◽  
Time Scale ◽  
Decomposition Method ◽  
Autonomous Underwater Vehicles ◽  
Path Following ◽  
Underwater Vehicles ◽  
Design Parameters ◽  
External Disturbances ◽  
Time Scale Decomposition

Abstract Autonomous underwater vehicles are needed in many applications such as underwater monitoring and surveillance, marine biology, rescue and search, undersea oil detection. In reality, the unknown external disturbances, and model uncertainties make the motion control of autonomous underwater vehicles a challenging task. With these issues, this paper presents an output-feedback singular perturbation control scheme for the path following of autonomous underwater vehicles, in term of the time scale decomposition method. As illustration, an extended state observer is first devised based on the singular perturbation theory. Then the stabilizing controller is developed by using the time scale decomposition method, in order to obtain a simple, easy-to-implement control law. And the stability analysis of stabilizing control system is conducted by constructing a composite Lyapunov function, which allows to provide mathematical bounds on the design parameters. Finally, simulation results are presented to prove the efficacy of the proposed controller for path following of autonomous underwater vehicles subject to internal and external disturbances.

Sign in / Sign up

Export Citation Format

Share Document