State-Space PD Feedback Control

Authors: John Florescu

Abstract:

A challenged control problem is when the performance is pushed to the limit. The state-derivative feedback control strategy directly uses acceleration information for feedback and state estimation. The derivative part is concerned with the rateof- change of the error with time. If the measured variable approaches the set point rapidly, then the actuator is backed off early to allow it to coast to the required level. Derivative action makes a control system behave much more intelligently. A sensor measures the variable to be controlled and the measured in formation is fed back to the controller to influence the controlled variable. A high gain problem can be also formulated for proportional plus derivative feedback transformation. Using MATLAB Simulink dynamic simulation tool this paper examines a system with a proportional plus derivative feedback and presents an automatic implementation of finding an acceptable controlled system. Using feedback transformations the system is transformed into another system.

Keywords: Feedback, PD, state-space, derivative.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1086055

References:

[1] William J. Palm III, "Modeling, Analysis, and Control of Dynamic Systems", John Willey & Sons, Inc., Second Edition
[2] D. Hinrichsend, J. O-Halloran, "Limits of Generalized State Space Systems under Proportional and Dervative Feedback", Mathematics of control signals and systems ISSN 0932-4194, 1997, vol.10, pp 97-124.
[3] Gene F. Franklin, J. David Powell, Abbas Emami-Naeini, "Feedback Control of Dynamic Systems", Prentice Hall", Fourth edition.I. K..
[4] Jin Jiang, "Design of reconfigurable control systems using eigenstructure assignments," Int. J. Control, vol. 59, no.2, pp.359-410.
[5] I. K.. Konstantinopoulos, P.J. Antsaklis, An optimization strategy for reconfigurable control systems, Technical report of the ISIS Group at the University of Notre Dame, September, 1995.
[6] "DAPL Commands as State Observers - A Hydraulic Control Application", http://www.mstarlabs.com/control/hydobs.htm.