A design methodology is developed for a linear, uncertain, SISO system for maximizing the size of a step disturbance in the presence of hard time domain constraints on system states, control input, output and the bandwidth. It is assumed that the system dynamics can be represented by a combination of structured uncertainty in the low frequencies and unstructured uncertainty in the high frequencies. The design procedure is based on mapping the time domain constraints into an equivalent set of frequency domain constraints which are then used to determine an allowed design region for the nominal loop transfer function in the plane of amplitude-phase. Once such a region is found, classical loop shaping determines a suitable nominal loop transfer function. The pole-zero structure of the compensator is a natural consequence of loop shaping and is not preconceived. An illustrative example demonstrates the trade-off between controller bandwidth, or the cost of feedback, and the tolerable size of step disturbance.
Skip Nav Destination
Article navigation
December 1994
Research Papers
Frequency Domain Design for Maximizing the Allowable Size of a Step Disturbance in Linear Uncertain Systems
Suhada Jayasuriya,
Suhada Jayasuriya
Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843
Search for other works by this author on:
Massoud Sobhani
Massoud Sobhani
Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843
Search for other works by this author on:
Suhada Jayasuriya
Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843
Massoud Sobhani
Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843
J. Dyn. Sys., Meas., Control. Dec 1994, 116(4): 635-642 (8 pages)
Published Online: December 1, 1994
Article history
Received:
September 19, 1990
Online:
March 17, 2008
Citation
Jayasuriya, S., and Sobhani, M. (December 1, 1994). "Frequency Domain Design for Maximizing the Allowable Size of a Step Disturbance in Linear Uncertain Systems." ASME. J. Dyn. Sys., Meas., Control. December 1994; 116(4): 635–642. https://doi.org/10.1115/1.2899262
Download citation file:
Get Email Alerts
Cited By
Integral Sliding Mode Disturbance Observer-Based Preview Repetitive Control
J. Dyn. Sys., Meas., Control (July 2024)
Global-Position Tracking Control for Multi-Domain Bipedal Walking with Underactuation
J. Dyn. Sys., Meas., Control
Surge-Elimination Strategy for Aero-Engine Transient Control
J. Dyn. Sys., Meas., Control (July 2024)
Safe Reinforcement Learning-Based Balance Control for Multi-Cylinder Hydraulic Press
J. Dyn. Sys., Meas., Control (July 2024)
Related Articles
Output–Feedback Regulation of the Contact-Force in High-Speed Train Pantographs
J. Dyn. Sys., Meas., Control (March,2004)
An Iterative Learning Control for Uncertain Systems Using Structured Singular Value
J. Dyn. Sys., Meas., Control (December,1999)
Autonomous Vibration Suppression Using On-Line Pole-Zero Identification
J. Vib. Acoust (October,2001)
Robust Control Design for Pole Assignment of Uncertain Systems
J. Dyn. Sys., Meas., Control (September,1997)
Related Proceedings Papers
Related Chapters
Utility Function Fundamentals
Decision Making in Engineering Design
Computing Algorithmic Complexity Using Advance Sampling Technique
Intelligent Engineering Systems through Artificial Neural Networks Volume 18
Graphical Methods for Control Systems
Introduction to Dynamics and Control in Mechanical Engineering Systems