Exponentially stable feedback control of discrete-time nonlinear distributed parameter systems on Banach spaces Conference Paper

abstract

• Practical engineering systems require feedback control implementation in discrete-time; however, stable control of infinite-dimensional distributed parameter systems (DPS) is not always guaranteed. We introduce two nonlinear controllers, a DPS one and a finite-dimensional one with residual mode filter compensation, which produce local exponential closed-loop stability for nonlinear discrete-time DPS on Banach spaces under appropriate local Lipschitz continuity conditions. Both controllers operate in discrete-time and our results place no restrictions on the smoothness of the initial data in the Banach space.

name of conference

• Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251)

authors

• Balas, Mark

published proceedings

• Proceedings of the 2010 American Control Conference

author list (cited authors)

• Balas, M. J.

citation count

• 1

complete list of authors

• Balas, MJ

publication date

• January 1999

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• Proceedings of the ... American Control Conference. American Control Conference  Journal

keywords

• Asymptotic Stability
• Banach Spaces
• Closed Loop Systems
• Compensation
• Control Systems
• Discrete Time Systems
• Discrete-time Nonlinear Distributed Parameter Systems
• Distributed Parameter Systems
• Exponentially Stable Feedback Control
• Feedback
• Feedback Control
• Filters
• Gain
• Hafnium
• Infinite-dimensional Distributed Parameter Systems
• Local Exponential Closed-loop Stability
• Local Lipschitz Continuity Conditions
• Multidimensional Systems
• Nonlinear Control Systems
• Nonlinear Controllers
• Residual Mode Filter Compensation
• STABILITY
• State Estimation
• Systems Engineering And Theory

Digital Object Identifier (DOI)

• 10.1109/acc.1999.783211

start page

• 1101-1106 vol.2

end page

• 1106 vol.2

volume

• 2

URL

• http://dx.doi.org/10.1109/acc.1999.783211