Convex Solutions to Variational Inequalities and Multidimensional Singular Control

1994 ◽  
pp. 371-386
Author(s):  
Michael Taksar
Keyword(s):  
Variational Inequalities ◽  
Singular Control

Routing and Singular Control for Queueing Networks in Heavy Traffic

1989 ◽  
Author(s):  
Luiz F. Martins ◽  
Harold J. Kushner
Keyword(s):  
Queueing Networks ◽  
Heavy Traffic ◽  
Singular Control

Control of credit risk collateralization using quasi-variational inequalities

2001 ◽  
Vol 4 (3) ◽  
pp. 5-38 ◽  
Author(s):  
Felipe Aparicio ◽  
Didier Cossin
Keyword(s):  
Variational Inequalities ◽  
Credit Risk

Variational and Quasi-Variational Inequalities in Mechanics

2007 ◽  
Author(s):  
Alexander S. Kravchuk ◽  
Pekka J. Neittaanmäki
Keyword(s):  
Variational Inequalities

scholarly journals Fault-tolerant control for a class of n-order systems based on fast terminal sliding mode and extended state observer

2021 ◽  
pp. 002029402110286
Author(s):  
Pu Yang ◽  
Peng Liu ◽  
ChenWan Wen ◽  
Huilin Geng
Keyword(s):  
Fault Tolerant ◽  
Sliding Mode ◽  
Singular Control ◽  
Fault Tolerant Control ◽  
State Observer ◽  
Extended State Observer ◽  
Extended State ◽  
Terminal Sliding Mode ◽  
Fast Terminal Sliding Mode ◽  
Terminal Sliding Surface

This paper focuses on fast terminal sliding mode fault-tolerant control for a class of n-order nonlinear systems. Firstly, when the actuator fault occurs, the extended state observer (ESO) is used to estimate the lumped uncertainty and its derivative of the system, so that the fault boundary is not needed to know. The convergence of ESO is proved theoretically. Secondly, a new type of fast terminal sliding surface is designed to achieve global fast convergence, non-singular control law and chattering reduction, and the Lyapunov stability criterion is used to prove that the system states converge to the origin of the sliding mode surface in finite time, which ensures the stability of the closed-loop system. Finally, the effectiveness and superiority of the proposed algorithm are verified by two simulation experiments of different order systems.

Sign in / Sign up

Export Citation Format

Share Document