State-Space PD Feedback Control

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.

Authors:

• John Florescu

Keywords:

• Feedback
• PD
• state-space
• derivative.

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.