scispace - formally typeset
Journal ArticleDOI

Linear quadratic regulators with Eigenvalue placement in a specified region

Leang S. Shieh, +2 more
- 01 Nov 1988 - 
- Vol. 24, Iss: 6, pp 819-823
Reads0
Chats0
TLDR
Two linear quadratic regulators are developed for placing the closed-loop poles of linear multivariable continuous-time systems within the common region of an open sector, and the general expression for finding the lower bound of a constant gain gamma is developed.
About
This article is published in Automatica.The article was published on 1988-11-01. It has received 51 citations till now. The article focuses on the topics: Complex plane & Eigenvalues and eigenvectors.

read more

Citations
More filters
Journal ArticleDOI

Controller design with regional pole constraints

TL;DR: In this paper, a design procedure was developed that combines linear-quadratic optimal control with regional pole placement, in which the poles of the closed-loop system are constrained to lie in specified regions of the complex plane.
Journal ArticleDOI

Effective chaotic orbit tracker: a prediction-based digital redesign approach

TL;DR: In this paper, the authors developed an effective digital tracker for continuous-time chaotic orbit tracking, which is insensitive to numerical errors and allows for a relatively large sampling time, which can be important in some applications such as in chaotic biological systems.
Journal ArticleDOI

Load Disturbance Resistance Speed Controller Design for PMSM

TL;DR: This paper presents an linear-quadratic-regulator-based proportional-integral-differential equivalent controller design method for a permanent-magnet synchronous motor based on a multi-objective observer in which observation error is purposely retained and utilized in load disturbance compensation.
Proceedings ArticleDOI

Algebraic approach for selecting the weighting matrices of linear quadratic regulator

TL;DR: In this article, an algebraic approach for selecting the weighting matrices of linear quadratic regulator (LQR) for trajectory tracking application is proposed, which directly translates the system requirement into cost function, so that an optimal performance can be obtained via a systematic approach.
References
More filters
Journal ArticleDOI

Paper: The time-invariant linear-quadratic optimal control problem

TL;DR: This paper provides a review of one of the basic problems of systems theory-the general time-invariant optimal control problem involving linear systems and quadratic costs, developed using simple properties of dynamical systems and involves a minimum of 'hard' analysis or algebra.
Journal ArticleDOI

Design of optimal control systems with prescribed eigenvalues

TL;DR: In this paper, a quadratic performance index together with a set of prescribed closed-loop eigenvalues are considered as criteria for designing linear multi-variable control systems and a method is developed for finding the weighting matrix elements that correspond to the given eigen values.
Journal ArticleDOI

Brief paper: Determining quadratic weighting matrices to locate poles in a specified region

TL;DR: A new procedure of selecting weighting matrices in linear quadratic optimal control problems (LQ-problems) is proposed, which has merits of an LQ-problem as well as a pole-assignment problem and will be useful for designing a linear feedback system.
Journal ArticleDOI

Linear quadratic regulators with eigenvalue placement in a vertical strip

TL;DR: In this paper, a method for finding the linear quadratic regulator such that the optimal closed-loop system has eigenvalues lying within a vertical strip in the complex plane is presented.
Journal ArticleDOI

Optimal pole shifting for continuous multivariable linear systems

TL;DR: In this paper, a method for shifting the real parts of the open-loop poles to any desired positions while preserving the imaginary parts is presented, based on the mirror-image property which has been reported by Molinari.
Related Papers (5)