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Journal ArticleDOI

State-PID feedback control with application to a robot vibration absorber

TLDR
The principle, called Separating Theorem, holds for pole-placement by state-PD, state-PI and state-PID feedback and is successfully applied to the control of a robot vibration absorber.
Abstract
The pole-placement problem of linear systems by state-PID feedback is investigated. A general and efficient pole-placement solution for linear time-invariant systems with state-PID feedback is derived using the traditional procedures of full state feedback. The principle, called Separating Theorem, holds for pole-placement by state-PD, state-PI and state-PID feedback and is successfully applied to the control of a robot vibration absorber. These results open a new area for the design and tuning of state-PID feedback types of controller.

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Citations
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Journal ArticleDOI

Stabilization of an inverted pendulum-cart system by fractional PI-state feedback.

TL;DR: This paper deals with pole placement PI-state feedback controller design to control an integer order system, and a new stabilization control algorithm is applied for an inverted pendulum-cart test-bed.
Journal ArticleDOI

Stability impact of small delays in proportional–derivative state feedback

TL;DR: In this paper, the stability problems of the state derivative and proportional-derivative state feedback were investigated in a closed-loop system with state derivative action under small delay perturbations.
Book ChapterDOI

An improved multi-objective particle swarm optimization algorithm

TL;DR: This paper proposes a dynamic sub-swarms multi-objective particle swarm optimization algorithm, which separates particles into multi subswarms, each of which adopts an improved clustering archiving technique, and operates PSO in a comparably independent way.
Journal ArticleDOI

State-PID Feedback for Pole Placement of LTI Systems

TL;DR: In this article, the authors proposed gain formulae of state feedback through PID-elements to achieve desired pole placement for a delay-free LTI system with single input, which can be used effectively resulting in very satisfactory responses.
Journal ArticleDOI

Robust sampled-data PI controller design for networked control systems

TL;DR: The main objective of this paper is to design a state feedback sample-data PI controller with time varying input delay such that the resulting closed-loop system is robustly asymptotically stable for all admissible uncertainties.
References
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Journal ArticleDOI

Canonical forms for linear multivariable systems

TL;DR: In this article, a class of well-known canonical forms for single-input or single-output controllable and observable systems are extended to multivariable systems, and it is shown that, unlike the single variable case, the canonical forms are generally not unique, but that the structure of the canonical form can be controlled to some extent by the designer.
Journal ArticleDOI

Pole-placement for SISO linear systems by state-derivative feedback

TL;DR: In this article, a procedure for solving the pole-placement problem for a linear single-input/single-output (SISO) systems by state-derivative feedback is described.
Journal ArticleDOI

Eigenvalue placement for generalized linear systems

TL;DR: In this paper, it was shown that controllability of the infinite eigenvalues of the pencil ( sE − A ) is equivalent to the existence of a state feedback map which assigns those eigen values to pre-specified complex numbers.
Journal ArticleDOI

Efficient eigenvalue assignments for general linear MIMO systems

TL;DR: This paper deals with the transformation of linear, multi-input multi-output (MIMO) systems into Frobenius canonical form, with the ultimate objective of developing a new, computationally efficient methodology for a poleplacement procedure.
Journal ArticleDOI

Arbitrary eigenvalue assignments for linear time-varying multivariable control systems

TL;DR: In this article, the problem of eigenvalue assignment for a class of linear time-varying multivariable systems is considered using matrix operators and canonical transformations, and a simple algorithm for the design of the state feedback is provided.