String stability of interconnected systems Academic Article

abstract

• Introduces the notion of string stability of a countably infinite interconnection of a class of nonlinear systems. Intuitively, string stability implies uniform boundedness of all the states of the interconnected system for all time if the initial states of the interconnected system are uniformly bounded. It is well known that the input output gain of all the subsystems less than unity guarantees that the interconnected system is input-output stable. The authors derive sufficient ("weak coupling") conditions which guarantee the asymptotic string stability of a class of interconnected systems. Under the same "weak coupling" conditions, string-stable interconnected systems remain string stable in the presence of small structural/singular perturbations. In the presence of parameter mismatch, these "weak coupling" conditions ensure that the states of all the subsystems are all uniformly bounded when a gradient-based parameter adaptation law is used and that the states of all the systems go to zero asymptotically.

authors

• Darbha, Swaroop

published proceedings

• IEEE TRANSACTIONS ON AUTOMATIC CONTROL

altmetric score

• 3

author list (cited authors)

• Swaroop, D., & Hedrick, J. K.

citation count

• 795

complete list of authors

• Swaroop, D||Hedrick, JK

publication date

• March 1996

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Transactions on Automatic Control  Journal

keywords

• Asymptotic Stability
• Automatic Control
• Cables
• Control Systems
• Countably Infinite Interconnection
• Distributed Control
• Gradient-based Parameter Adaptation Law
• Interconnected Systems
• Nonlinear Systems
• Parameter Mismatch
• Power System Stability
• Small Structural/singular Perturbations
• String Stability
• Sufficient Conditions
• Uniform Boundedness
• Vehicle Safety
• Vibration Control
• Weak Coupling Conditions

Digital Object Identifier (DOI)

• 10.1109/9.486636

start page

• 349

end page

• 357

volume

• 41

issue

• 3

URL

• http://dx.doi.org/10.1109/9.486636