scholarly journals Continuous-Time Switched H∞ Proportional-Integral observer: Application for sideslip and road bank angles estimation

2014 ◽  
Author(s):  
Lghani Menhour ◽  
Damien Koenig ◽  
Brigitte d'Andrea-Novel
Keyword(s):  
Continuous Time ◽  
Proportional Integral

scholarly journals Fast Stability Analysis for Proportional-Integral Controller in Interval Systems

2018 ◽  
Vol 2 (2) ◽  
pp. 111
Author(s):  
Hau Huu Vo
Keyword(s):  
Stability Analysis ◽  
Continuous Time ◽  
Polynomial Equation ◽  
Pi Controller ◽  
Time Interval ◽  
Stability Range ◽  
Proportional Integral ◽  
Polynomial Inequalities ◽  
Direct Technique ◽  
Computing Speed

The paper describes a technique for stability analysis of proportional-integral (PI) controller in linear continuous-time interval control systems. The stability conditions of Kharitonov's theorem together with related criterions, such as Routh-Hurwitz criterion for continuous-time systems, bring out sets of polynomial inequalities. The sets are very difficult to solve directly, especially in case of high-order systems. Direct technique was used for stability analysis without solving polynomial inequalities. Solving polynomial equation directly makes its computing speed low. In the paper, a set theory-based technique is proposed for finding robust stability range of PI controller without solving any Kharitonov polynomials directly Computation results confirm expected computing speed of the proposed technique.  This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

scholarly journals State estimation for a class of nonlinear systems

2013 ◽  
Vol 23 (2) ◽  
pp. 383-394 ◽  
Author(s):  
Benoît Schwaller ◽  
Denis Ensminger ◽  
Birgitta Dresp-Langley ◽  
José Ragot
Keyword(s):  
Nonlinear Systems ◽  
State Estimation ◽  
Continuous Time ◽  
Strange Attractor ◽  
State Variables ◽  
Stable Convergence ◽  
Model Simulations ◽  
Proportional Integral ◽  
Asymptotic Stable ◽  
New Type

We propose a new type of Proportional Integral (PI) state observer for a class of nonlinear systems in continuous time which ensures an asymptotic stable convergence of the state estimates. Approximations of nonlinearity are not necessary to obtain such results, but the functions must be, at least locally, of the Lipschitz type. The obtained state variables are exact and robust against noise. Naslin’s damping criterion permits synthesizing gains in an algebraically simple and efficient way. Both the speed and damping of the observer response are controlled in this way. Model simulations based on a Sprott strange attractor are discussed as an example.

Continuous-time proportional-integral distributed optimisation for networked systems

2014 ◽  
Vol 1 (3) ◽  
pp. 191-213 ◽  
Author(s):  
Greg Droge ◽  
Hiroaki Kawashima ◽  
Magnus B. Egerstedt
Keyword(s):  
Continuous Time ◽  
Networked Systems ◽  
Proportional Integral

Heavy Tails of Discounted Aggregate Claims in the Continuous-Time Renewal Model

2007 ◽  
Vol 44 (02) ◽  
pp. 285-294 ◽  
Author(s):  
Qihe Tang
Keyword(s):  
Asymptotic Formula ◽  
Continuous Time ◽  
Heavy Tails ◽  
Tail Behavior ◽  
Renewal Model ◽  
Discounted Aggregate Claims ◽  
Aggregate Claims ◽  
Tail Asymptotic

We study the tail behavior of discounted aggregate claims in a continuous-time renewal model. For the case of Pareto-type claims, we establish a tail asymptotic formula, which holds uniformly in time.

Sign in / Sign up

Export Citation Format

Share Document