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The sensitivity function can be decomposed into three major parts: design-, realizability- and modeling-loss. The paper investigates the optimality of the second term in infinite norm spaces and proposes a new iterative algorithm for the solution.
In this paper, an anomaly detection structure, in which different types of anomaly detection routines can be applied, is proposed. Bearing fault modes and their effects on the bearing vibration are discussed. Based on this, a feature extraction method is developed to overcome the limitation of time domain features. Experimental data from bearings under different operating conditions are used to verify...
In this note, an algebraic approach for state estimation of linear time invariant systems is developed. This approach is based on the following mathematical tools: Laplace transform, Leibniz formula and operational calculus. A generalized expression of the state variables in function of the integrals of the output and the input is obtained. The example of a DC motor system and simulation results are...
In this article, we propose the use of a Sigma - Delta modulation approach combined with an appropriate dualization of generalized proportional integral (GPI) control strategies for the design of observers undergoing switched output injections, as in remote state estimation cases. The class of switched injection sliding observers inherit their robustness with respect to un-modeled perturbation inputs...
Web-technologies which came up in many fields of automation seem to be a solution which improves device integration in many ways. On the one hand the used Ethernet improves the installation techniques with reliable and approved network cables and routing devices. On the other hand the used internet protocols provide several services for the application software development. The following article is...
This paper compares two different methods applied to adaptive control of a real multivariable laboratory system of three interconnected tanks. In first case, a controller based on polynomial methods was used. The second method is based on model predictive control (MPC) approach. Both methods are based on a same model of the controlled process. Both controllers were realized as self - tuning controllers...
In this paper, game theory is applied to the marine navigation in congested waters. The process of game ship control is mentioned first, and then the base model and the approximated model of multi-step matrix game are described with the simulation results. Finally, the sensitivity of ship game control to inaccurate data from the ARPA anti-collision radar system and to variation in ship dynamics is...
The roots of palindromic and antipalindromic polynomials appear in pairs (lambda,1/lambda). A polynomial with such roots is antipalindromic if and only if in addition, it has a root at 1 of an odd multiplicity. The result has applications in system theory: 1) any kernel representation of a discrete-time, time-reversible, scalar, autonomous LTI system is either palindromic or antipalindromic. (Similar...
The object of this paper is to revisit the results of P. Bernhard (J. Optim. Theory Appl. 27 (1979), 51-69) on two-person zero-sum linear quadratic differential games and generalize them to utility functions without positivity assumptions on the matrices acting on the state variable in the utility function and to linear dynamics with bounded measurable data matrices. We consider both open and closed...
Stability is the first demand of the feedback control design. The parametrization of all stabilizing controllers is standard theory. The stabilizing controller has some free parameters which can be used for further optimization. Linear Quadratic (LQ) control and Dead Beat control are standard algorithms for optimal control of discrete time models of real systems. The dead beat control results in very...
This paper recapitulates the adaptive (time- varying) control strategy funnel-control (FC) and introduces its direct derivative error reference control (ERC) with specially designed Funnel boundaries and auxiliary reference. Both controller designs are comparatively applied to a nonlinear two-mass flexible servo system for speed control. ERC (as derivative of FC) is based on the high-gain controllability...
The paper provides an overview of methods and techniques for the modelling and analysis of the dependability of complex systems, with emphasis on DES, trying to identify the new and promising research directions in the field. In particular, two lines are presented and discussed. The first line tries to trade off between modeling power and analytical tractability, by localizing and confining the stochastic...
This paper deals with discrete-time systems and considers the problem of computing an upper bound to the dwell time of switched systems ensuring a pre-specified root mean square gain (RMS). As a natural consequence of treating general systems of this particular class in terms of the order and the number of subsystems, only sufficient conditions are worked out. However, as positive features, they are...
In this paper a simple sensorless algorithm of estimating the permanent magnet synchronous motor (PMSM) speed and position is presented. The proposed approach introduces a new PMSM mathematical model considered in an estimated gamma-delta reference frame instead of stationary alpha-beta reference frame. A state observer has been implemented by the fundamental excitation method based on sliding mode...
This paper presents a new approach for on-line identification of an exact affine model for single-input, single- output (SISO) processes with nonlinear and time-varying behaviors. For this purpose, a modified growing and pruning algorithm for radial basis function (MGAP-RBF) neural network is used for affine modeling of the SISO nonlinear and time-varying processes. The extended Kalman filter (EKF)...
A new approach for the design of robust static output feedback controller for a class of discrete-time Lipschitz nonlinear systems with time-varying uncertainties is proposed based on linear matrix inequalities. The controller has also a guaranteed disturbance attenuation level (Hinfin performance). Thanks to the linearity of the proposed LMIs in both the admissible Lipschitz constant of the system...
The Schur stability analysis of an interval polynomial family can be quickly performed through a unique, suitably defined extreme polynomial. The purpose of this paper is to provide some improvements with respect to the actually existing methods based on this approach.
The paper presents a new discrete time sliding mode flow control algorithm for connection-oriented communication networks. The networks are modeled as discrete time systems with the available bandwidth acting as disturbance. The algorithm employs a time-varying sliding plane, which helps reduce the initial flow rate magnitude. The plane parameters are determined so that the closed-loop system stability...
In this paper, reachability properties of continuous-time positive systems are introduced and characterized in algebraic terms. Specifically, first it is shown that reachability and strong reachability are equivalent properties, and thus the characterization of strong reachability derived in (Commault and Alamir, 2007) is extended to the weaker notion of reachability. In the second part of the paper,...
The problem of designing robust filter with guaranteed induced lscrinfin norm for the estimation of the state-vector of finite dimensional discrete-time linear systems is considered. The design process applies a lemma which was recently derived by the authors of this paper, characterizing the induced lscrinfin norm by Linear Matrix Inequalities. The results are applied to a tracking problem with uncertainty...
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