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model-order-reduction
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Improved Model Order Reduction of LTI Systems with Using LMIs
, M.Sc. Thesis Sharif University of Technology ; Nobakhti, Amin (Supervisor)
Abstract
Order reduction is a very important issue in Control Theory. A growing need for order reduction models in different fields such as simulation, identification, and design of control system shows this significance. Actually, a high-order system makes a great deal of complexity in designing hardware of control system, debugging, and implementation. Till nowadays, many repetitive as well as nonrepetitive methods with various criteria have been introduced to find low-order models. In this research, order reduction of linear time invariant system models is analyzed. The selected criterion for measuring error between original system and reduced order system is the norm of H1 because it is not only...
Model reduction techniques for unstable second order-form systems
, Article IEEJ Transactions on Electrical and Electronic Engineering ; Volume 16, Issue 3 , 2021 , Pages 445-454 ; 19314973 (ISSN) ; Mohd-Mokhtar, R ; Haider, S ; Bukhari, S. H. R ; Rasool, A ; Sharif University of Technology
John Wiley and Sons Inc
2021
Abstract
In the present work, multiple non existing model order reduction (MOR) techniques for unstable second-order form systems (SOSs) are proposed. For unstable SOSs, continuous-time algebraic Lyapunov equations get unsolvable that halt the reduction process. To avoid this problem, unstable SOS is first decomposed into stable and unstable portions and balanced truncation is applied to the stable part. The obtained reduced order model (ROM) for the stable portion is augmented with the unstable portion to obtain the overall reduced system. It is observed that the second-order structure in ROM for the first technique gets lost as well as augmented unstable dynamics degrade the ROM performance. To...
Model reduction techniques for unstable second order-form systems
, Article IEEJ Transactions on Electrical and Electronic Engineering ; Volume 16, Issue 3 , 2021 , Pages 445-454 ; 19314973 (ISSN) ; Mohd Mokhtar, R ; Haider, S ; Bukhari, S. H. R ; Rasool, A ; Sharif University of Technology
John Wiley and Sons Inc
2021
Abstract
In the present work, multiple non existing model order reduction (MOR) techniques for unstable second-order form systems (SOSs) are proposed. For unstable SOSs, continuous-time algebraic Lyapunov equations get unsolvable that halt the reduction process. To avoid this problem, unstable SOS is first decomposed into stable and unstable portions and balanced truncation is applied to the stable part. The obtained reduced order model (ROM) for the stable portion is augmented with the unstable portion to obtain the overall reduced system. It is observed that the second-order structure in ROM for the first technique gets lost as well as augmented unstable dynamics degrade the ROM performance. To...
Review of Network Reduction Techniques and Their Applications in Transmission Network Fault Diagnosis
, M.Sc. Thesis Sharif University of Technology ; Bozorgmehry Boozarjomehry, Ramin (Supervisor)
Abstract
Monitoring and control of gas transmission networks are very challenging and important, this is due to the fact that interactions between various elements in the transmission network severely affect network’s overall performance. This makes it crucial for the monitoring and control systems to take into account the topology of the network, in their decision making and control scenario’s. On the other hand, in the event of any abnormality in the network behavior, , in order to accurately and quickly detect the cause of the abnormal conditions, there is a need for rapid and effective analysis of the network based on the measurements made therein and to identify the key and effective situations...
Reduced multiple model predictive control of an heating, ventilating, and air conditioning system using gap metric and stability margin
, Article Building Services Engineering Research and Technology ; Volume 43, Issue 5 , 2022 , Pages 589-603 ; 01436244 (ISSN) ; Haeri, M ; Sharif University of Technology
SAGE Publications Ltd
2022
Abstract
In this paper, a reduced multiple-model predictive controller based on gap metric and stability margin is presented to control heating, ventilating, and air conditioning (HVAC) systems. To tackle the strong nonlinearity and large number of degrees of freedom in HVAC system, two approaches, called Reduced Order Model Bank-Multiple Model (ROMB-MM) and Multiple Model-Reduced Order Model (MM-ROM), are introduced. In the first approach, the order reduction is performed prior to multiple models selection and in the second one multiple models selection is implemented before the model order reduction. Furthermore, soft switching is employed to enhance the closed-loop performance as well as to gain...