Search results for "VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413"
showing 10 items of 101 documents
H∞ control of Markovian switching systems with time-delays: Applied to DC-DC converters
2011
Author's version of a chapter in the book: 37th Annual Conference of the IEEE Industrial Electronics Society - IECON 2011. Also available from the publisher at: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6119884 The DC-DC switching power converters are highly nonlinear systems. Consequently, the conventional linear controls based on averaging and linearization techniques will result in poor dynamic performance or system instability. In order to resolve this problem, in this paper a robust state feedback H∞ control is proposed for these systems under Markovian switching with mixed discrete, neutral and distributed delays. Based on the Lyapunov-Krasovskii functional theory, some …
Vibration control of base-isolated structures using mixed H-2/H-infinity output-feedback control
2009
Published post-print of an article in the journal: Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering Available from the publisher at: http://dx.doi.org/10.1243/09596518jsce730 A mixed H-2/H-infinity output-feedback control design methodology for vibration reduction of base-isolated building structures modelled in the form of second-order linear systems is presented. Sufficient conditions for the design of a desired control are given in terms of linear matrix inequalities. A controller that guarantees asymptotic stability and a mixed H-2/H-infinity performance for the closed-loop system of the structure is developed, based on a Lyapuno…
An LMI approach to quantized H∞ control of uncertain linear systems with network-induced delays
2010
Accepted version of an article published by IEEE.(c) 2010 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works Published version:http://dx.doi.org/10.1109/SYSTOL.2010.5676063 his paper deals with a convex optimization approach to the problem of robust network-based Hinf control for linear systems connected over a common digital communication network with norm-bounded parameter uncertainties. Firstly, we…
H-infinity control for networked control systems with time delays and packet dropouts
2013
Published version of an article from the journal: Mathematical Problems in Engineering. Also available from Hindawi: http://dx.doi.org/10.1155/2013/635941 This paper is concerned with the H-infinity control issue for a class of networked control systems (NCSs) with packet dropouts and time-varying delays. Firstly, the addressed NCS is modeled as a Markovian discrete-time switched system with two subsystems; by using the average dwell time method, a sufficient condition is obtained for the mean square exponential stability of the closed-loop NCS with a desired H-infinity disturbance attenuation level. Then, the desired H-infinity controller is obtained by solving a set of linear matrix inequ…
Delay-dependent stability analysis for large scale production networks of autonomous work systems
2010
Published version of av article from the journal: Nonlinear dynamics and systems theory. Also available fro the publisher:http://www.e-ndst.kiev.ua/v10n1.htm This paper considers the problem of stability analysis for a class of production networks of autonomous work systems with delays in the capacity changes. The system under consideration does not share information between work systems and the work systems adjust capacity with the objective of maintaining a desired amount of local work in progress (WIP). Attention is focused to derive explicit sufficient delay-dependent stability conditions for the network using properties of matrix norm. Finally, numerical results are provided to demonst…
Delay-dependent H-infinity control for networked control systems with large delays
2013
Published version of an article from the journal: Mathematical Problems in Engineering. Also available from Hindawi: http://dx.doi.org/10.1155/2013/643174 We consider the problems of robust stability and H-infinity control for a class of networked control systems with long-time delays. Firstly, a nonlinear discrete time model with mode-dependent time delays is proposed by converting the uncertainty of time delay into the uncertainty of parameter matrices. We consider a probabilistic case where the system is switched among different subsystems, and the probability of each subsystem being active is defined as its occurrence probability. For a switched system with a known subsystem occurrence …
Vibration control of a base-isolated building using wavelets
2011
Author's version of a chapter in the book: Proceedings of the 18th IFAC World Congress 2011. Also available from the publisher at: http://dx.doi.org/10.3182/20110828-6-IT-1002.03169 This paper proposes a numerical approach for finding an optimal control based on wavelet functions for vibration reduction of a base-isolated building subjected to actual earthquakes. The objective is two-fold: (1) to find a computational method using properties of Haar functions, and (2) to calculate controller gains approximately by solving only algebraic equations instead of solving the Riccati differential. Simulation results are included to demonstrate the validity and applicability of the technique.
The performance investigation of viscoelastic hybrid models in vehicle crash event representation
2011
Aurthor's version of a chapter published in the book: Proceedings of the 18th IFAC World Congress 2011. Also available from the publisher at: http://dx.doi.org/10.3182/20110828-6-IT-1002.00284 This paper presents application of physical models composed of springs, dampers and masses joined together in various arrangements to simulation of a real car collision with a rigid pole. Equations of motion of those systems are being established and subsequently solutions to obtained differential equations are formulated. We start with a general model consisting of two masses, two springs, and two dampers, and illustrate its application to represent fore-frame and aft-frame of a vehicle. Hybrid model…
Robust Regulation with an H_infinity Constrain for Linear Two-Time Scale Systems
2010
Accepted version of a paper published by IEEE. (c) 2010 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works Published version:http://dx.doi.org/10.1109/CCA.2010.5611107 In this paper, the problem of robust multiobjective control design with an H_infinity constrain is studied for a class of linear two-time scale systems. The design is based on a new modelling approach under the assumption of normbounded…
Fuzzy Variable Structure Control for Uncertain Systems with Disturbance
2012
Published version of an article from the journal: Mathematical Problems in Engineering. Also available from the publisher:http://dx.doi.org/10.1155/2012/105074 This paper focuses on the fuzzy variable structure control for uncertain systems with disturbance. Specifically, the fuzzy control is introduced to estimate the control disturbance, the switching control is included to compensate for the approximation error, and they possess the characteristic of simpleness in design and effectiveness in attenuating the control chattering. Some typical numerical examples are presented to demonstrate the effectiveness and advantage of the fuzzy variable structure controller proposed.