Various modeling techniques have been proposed in order to make modeling a more systematic procedure and to facilitate the development of modeling software that provide users, even experienced users, more ease when developing good models for control and design. The author has previously developed an energy-based modeling metric called “element activity” that was implemented in the model order reduction algorithm (MORA). While MORA was originally developed for the reduction of nonlinear models, the purpose of this paper is to gain insight into this methodology when applied to the reduction of linear models. Toward this end, the steady-state response to sinusoidal inputs is considered. Element activity is calculated analytically for any given excitation frequency, and a series of reduced models, which depend on the excitation frequency content, are generated. The results show through a quarter-car vehicle model that MORA generates a series of models whose spectral radius increases, as successively lower activity elements are included. It is demonstrated that low activity elements are related with high-frequency dynamics.
Skip Nav Destination
Article navigation
December 2016
Research-Article
A Frequency-Based Interpretation of Energy-Based Model Reduction of Linear Systems
Loucas S. Louca
Loucas S. Louca
Mem. ASME
Department of Mechanical and
Manufacturing Engineering,
University of Cyprus,
75 Kallipoleos Avenue,
P.O. Box 20537,
Nicosia 1678, Cyprus
e-mail: lslouca@ucy.ac.cy
Department of Mechanical and
Manufacturing Engineering,
University of Cyprus,
75 Kallipoleos Avenue,
P.O. Box 20537,
Nicosia 1678, Cyprus
e-mail: lslouca@ucy.ac.cy
Search for other works by this author on:
Loucas S. Louca
Mem. ASME
Department of Mechanical and
Manufacturing Engineering,
University of Cyprus,
75 Kallipoleos Avenue,
P.O. Box 20537,
Nicosia 1678, Cyprus
e-mail: lslouca@ucy.ac.cy
Department of Mechanical and
Manufacturing Engineering,
University of Cyprus,
75 Kallipoleos Avenue,
P.O. Box 20537,
Nicosia 1678, Cyprus
e-mail: lslouca@ucy.ac.cy
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received November 25, 2015; final manuscript received July 8, 2016; published online August 17, 2016. Assoc. Editor: Ardalan Vahidi.
J. Dyn. Sys., Meas., Control. Dec 2016, 138(12): 121005 (11 pages)
Published Online: August 17, 2016
Article history
Received:
November 25, 2015
Revised:
July 8, 2016
Citation
Louca, L. S. (August 17, 2016). "A Frequency-Based Interpretation of Energy-Based Model Reduction of Linear Systems." ASME. J. Dyn. Sys., Meas., Control. December 2016; 138(12): 121005. https://doi.org/10.1115/1.4034242
Download citation file:
Get Email Alerts
Cited By
An Adaptive Sliding-Mode Observer-Based Fuzzy PI Control Method for Temperature Control of Laser Soldering Process
J. Dyn. Sys., Meas., Control
Fault detection of automotive engine system based on Canonical Variate Analysis combined with Bhattacharyya Distance
J. Dyn. Sys., Meas., Control
Multi Combustor Turbine Engine Acceleration Process Control Law Design
J. Dyn. Sys., Meas., Control (July 2025)
Related Articles
Power Conserving Bond Graph Based Modal Representations and Model Reduction of Lumped Parameter Systems
J. Dyn. Sys., Meas., Control (November,2014)
Model-Based Estimation for Vehicle Dynamics States at the Limit Handling
J. Dyn. Sys., Meas., Control (October,2015)
Vehicle Dynamics Control of eAWD Hybrid Electric Vehicle Using Slip Ratio Optimization and Allocation
J. Dyn. Sys., Meas., Control (September,2018)
Linear Vehicle Dynamics of the TowPlow, a Steerable Articulated Snowplow, and Its Kinematics-Based Steering Control
J. Dyn. Sys., Meas., Control (August,2015)
Related Proceedings Papers
Related Chapters
Task Analysis and Cognitive Process Modelling of a Controller in En Route Air Traffic Control (PSAM-0131)
Proceedings of the Eighth International Conference on Probabilistic Safety Assessment & Management (PSAM)
Measuring Graph Similarity Using Node Indexing and Message Passing
International Conference on Computer Technology and Development, 3rd (ICCTD 2011)
The Human Factor in Network System Survivability (PSAM-0090)
Proceedings of the Eighth International Conference on Probabilistic Safety Assessment & Management (PSAM)