New Robustness Theorem with Application to Adaptive Control of Nonlinear Systems with Input/Output Delays Conference Paper

abstract

• Many systems must operate in the presence of delays both internal to the system and in its inputs and outputs. In this paper we present a new robustness result for nonlinear systems. We use this result to show that for small unknown input delays, a simple adaptive controller with leakage can produce output regulation to a neighborhood with radius dependent upon the size of the delay. This regulation occurs in the presence of persistent disturbances and the convergence is exponential. We conclude with an example to illustrate the behavior of this adaptive control law.

name of conference

• 2011 IEEE International Conference on Control Applications (CCA)

authors

• Balas, Mark

published proceedings

• 2011 IEEE International Conference on Control Applications (CCA)

author list (cited authors)

• Balas, M. J., & Nelson, J. P.

citation count

• 8

complete list of authors

• Balas, Mark J||Nelson, James P

publication date

• September 2011

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• Proceedings of the IEEE Conference on Control Applications  Journal

keywords

• Adaptation Models
• Adaptive Control
• Adaptive Control Law
• Convergence
• Delay
• Delays
• Input-output Delays
• Nonlinear Control Systems
• Nonlinear Systems
• Output Regulation
• ROBUST CONTROL
• Robustness
• Robustness Theorem
• Variable Speed Drives

Digital Object Identifier (DOI)

• 10.1109/cca.2011.6044374

start page

• 1437

end page

• 1442

URL

• http://dx.doi.org/10.1109/cca.2011.6044374