NDLI: Tuning of a time-delayed controller for a general class of second-order linear time invariant systems with dead-time

Content Provider	IET Digital Library
Author	Segura, Raul Villafuerte Dorantes, Francisco Medina Hernández, Leopoldo Vite Hernández, Baltazar Aguirre
Abstract	In this study, the problem of σ -stabilising a general class of second-order linear time invariant systems with dead-time using a proportional–integral–retarded (PIR) controller is considered. The σ -stability of a system determines the exponential decay in its response. Here the σ -stability of the closed-loop system is ensured by assigning up to four dominant real roots at − σ . For the tuning of the controller gains an extensive analysis of all the possible allocations of the gains according to the response of the closed-loop system is presented. The D-partition method is used to provide important insight into the problem. As a consequence of this analysis, to achieve the desired decay rate, exact analytic expressions for tuning the PIR controller parameters are given. To illustrate the theoretical results obtained, the under-actuated mechanical system called inverted pendulum is used.
Starting Page	451
Ending Page	457
Page Count	7
ISSN	17518644
Volume Number	13
e-ISSN	17518652
Issue Number	Issue 3, Feb (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/13/3
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5082
Journal	IET Control Theory & Applications
Publisher Date	2018-10-26
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	$\sigma $σ-stability Closed Loop System Closed-loop System Controller Gain Dead-time Delay Distributed Parameter Control System Linear System Pendulums PI Control PIR Controller Parameter Proportional–integral–retarded Controller Second-order Linear Time Invariant System Stability Stability in Control Theory Time-delayed Controller Tuning Under-actuated Mechanical System
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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