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A study on decentralized H feedback control systems with local quantizers

Guisheng Zhai, Ning Chen, Weihua Gui (2009)


In this paper, we study decentralized H feedback control systems with quantized signals in local input-output (control) channels. We first assume that a decentralized output feedback controller has been designed for a multi-channel continuous-time system so that the closed-loop system is Hurwitz stable and a desired H disturbance attenuation level is achieved. However, since the local measurement outputs are quantized by a general quantizer before they are passed to the controller, the system’s...

Application of Fractional Calculus in the Dynamical Analysis and Control of Mechanical Manipulators

Ferreira, N., Duarte, Fernando, Lima, Miguel, Marcos, Maria, Machado, J. (2008)

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: 26A33, 93C83, 93C85, 68T40Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades. In the field of dynamical systems theory some work has been carried out but the proposed models and algorithms are still in a preliminary stage of establishment. This article illustrates several applications of fractional calculus in robot manipulator path planning and control....

Colored decision process Petri nets: modeling, analysis and stability

Julio Clempner (2005)

International Journal of Applied Mathematics and Computer Science

In this paper we introduce a new modeling paradigm for developing a decision process representation called the Colored Decision Process Petri Net (CDPPN). It extends the Colored Petri Net (CPN) theoretic approach including Markov decision processes. CPNs are used for process representation taking advantage of the formal semantic and the graphical display. A Markov decision process is utilized as a tool for trajectory planning via a utility function. The main point of the CDPPN is its ability to...

Computer aided design of mechatronic systems

Zbigniew Mrozek (2003)

International Journal of Applied Mathematics and Computer Science

Any successful company must react quickly to changing trends in the market. New products should be designed and manufactured quicker and cheaper than counter partners do. A shorter design time provides a distinct competitive advantage. The paper describes two approaches towards designing interdisciplinary mechatronic systems: the first is visual modelling with the UML, the second is physical modelling with Modelica.

Genetic algorithm based method of elimination of residual oscillation in mechatronic systems

Peter Hubinský, Ladislav Jurišica, Branislav Vranka (2005)


The paper presents control signals generation methods, preventing the excitation of residual vibration in slightly damped oscillational systems. It is focused on the feedforward methods, as most of the vibrations in examined processes are induced by the control, while the influence of disturbances is mostly negligible. Application of these methods involves ensuring of the insensitivity to natural frequency change, which can be reached in classical approach only by considerable increase of transient...

Graphics processing units in acceleration of bandwidth selection for kernel density estimation

Witold Andrzejewski, Artur Gramacki, Jarosław Gramacki (2013)

International Journal of Applied Mathematics and Computer Science

The Probability Density Function (PDF) is a key concept in statistics. Constructing the most adequate PDF from the observed data is still an important and interesting scientific problem, especially for large datasets. PDFs are often estimated using nonparametric data-driven methods. One of the most popular nonparametric method is the Kernel Density Estimator (KDE). However, a very serious drawback of using KDEs is the large number of calculations required to compute them, especially to find the...

Microelectronic design of universal fuzzy controllers.

M.ª Iluminada Baturone, Santiago Sánchez-Solano (2001)

Mathware and Soft Computing

Fuzzy controllers have been proven to be universal, that is, they can provide any control surface. Their microelectronic implementation is very suitable to achieve high-speed (real-time operation), and low area and power consumption. This paper focuses on discussing the two basic approaches that can be employed to design programmable universal controller integrated circuits. Analog, mixed-signal and digital realizations are summarized and compared.

Observer design for a class of nonlinear discrete-time systems with time-delay

Yali Dong, Jinying Liu, Shengwei Mei (2013)


The problem of observer design for a class of nonlinear discrete-time systems with time-delay is considered. A new approach of nonlinear observer design is proposed for the class of systems. Based on differential mean value theory, the error dynamic is transformed into linear parameter variable system. By using Lyapunov stability theory and Schur complement lemma, the sufficient conditions expressed in terms of matrix inequalities are obtained to guarantee the observer error converges asymptotically...

Predictability and control synthesis

Philippe Declerck (1999)


Processes modeled by a timed event graph may be represented by a linear model in dioïd algebra. The aim of this paper is to make temporal control synthesis when state vector is unknown. This information loss is compensated by the use of a simple model, the “ARMA” equations, which enables to introduce the concept of predictability. The comparison of the predictable output trajectory with the desired output determines the reachability of the objective.

Random projection RBF nets for multidimensional density estimation

Ewa Skubalska-Rafajłowicz (2008)

International Journal of Applied Mathematics and Computer Science

The dimensionality and the amount of data that need to be processed when intensive data streams are observed grow rapidly together with the development of sensors arrays, CCD and CMOS cameras and other devices. The aim of this paper is to propose an approach to dimensionality reduction as a first stage of training RBF nets. As a vehicle for presenting the ideas, the problem of estimating multivariate probability densities is chosen. The linear projection method is briefly surveyed. Using random...

Random projections and hotelling's T² statistics for change detection in high-dimensional data streams

Ewa Skubalska-Rafajłowicz (2013)

International Journal of Applied Mathematics and Computer Science

The method of change (or anomaly) detection in high-dimensional discrete-time processes using a multivariate Hotelling chart is presented. We use normal random projections as a method of dimensionality reduction. We indicate diagnostic properties of the Hotelling control chart applied to data projected onto a random subspace of Rn . We examine the random projection method using artificial noisy image sequences as examples.

Reachability and observability of linear systems over max-plus

Michael J. Gazarik, Edward W. Kamen (1999)


This paper discusses the properties of reachability and observability for linear systems over the max-plus algebra. Working in the event-domain, the concept of asticity is used to develop conditions for weak reachability and weak observability. In the reachability problem, residuation is used to determine if a state is reachable and to generate the required control sequence to reach it. In the observability problem, residuation is used to estimate the state. Finally, as in the continuous-variable...

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