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A linear algebra controller based on reduced order models applied to trajectory tracking for mobile robots: an experimental validation
(Inderscience Publishers, 2018-12-17)
A linear algebra controller (LACr) based on an empirical linear model of the system is presented in this paper. The controller design is based on a first order plus dead time (FOPDT) model and can be tuned using the ...
Design and Application of a Linear Algebra Based Controller from a Reduced-Order Model for Regulation and Tracking of Chemical Processes under Uncertainties
(American Chemical Society, 2019-08)
This work presents a simple controller, tunable by three parameters, capable of following variable time references. It is a linear algebra based controller (LABC), developed from a first-order plus dead time model (FOPDT). ...
Control Based on Linear Algebra for Trajectory Tracking and Positioning of Second-Order Chained Form System
(Hindawi Publishing Corporation, 2020-08)
The development of controllers for underactuated systems with nonholonomic constraints has been a topic of significant interest for many researchers in recent years. These systems are hard to control because their linearization ...
Hochschild cohomology of incidence algebras as one-point extensions
(Elsevier Science Inc, 2003-12)
The aim of this paper is to compute the Hochschild cohomology groups of particular of algebras associated to partially ordered sets. © 2003 Elsevier Science Inc. All rights reserved.
Trajectory tracking control of autonomous marine vessel using neuro adaptive sliding mode control
(Institute of Electrical and Electronics Engineers, 2021-06-07)
This research paper presents the design of a control technique based on the combination of Linear Algebra (LABC) with Neuro Adaptive sliding mode control (NN-SMC) applied to the control of a marine vessel. Where the linear ...
Hochschild cohomology of algebras arising from categories and from bounded quivers
(European Mathematical Society, 2019-10)
The main objective of this paper is to provide a theory for computing the Hochschild cohomology of algebras arising from a linear category with finitely many objects and zero compositions. For this purpose, we consider ...
Solving a sparse system using linear algebra
(Elsevier, 2015-04)
We give a new theoretical tool to solve sparse systems with finitely many solutions. It is based on toric varieties and basic linear algebra; eigenvalues, eigenvectors and coefficient matrices. We adapt Eigenvalue theorem ...
There are no rigid filiform Lie algebras of low dimension
(Heldermann Verlag, 2019-01)
We prove that there are no rigid complex filiform Lie algebras in the variety of (filiform) Lie algebras of dimension less than or equal to 11. More precisely we show that in any Euclidean neighborhood of a filiform Lie ...
Synthesis of precision flexible mechanisms using screw theory and beam constraints
(Inderscience Publichers, 2018-04)
The design of flexible parallel stages has recently been systematised for the three-dimensional space using screw theory. The relationships between the twists (motions), the wrench actuations, and constraint wrenches spaces ...
Geodesics of projections in von neumann algebras
(American Mathematical Society, 2021-07)
Let A be a von Neumann algebra and PA the manifold of projections in A. There is a natural linear connection in PA, which in the finite dimensional case coincides with the the Levi-Civita connection of the Grassmann manifold ...