Title
Guaranteeing Global Asymptotic Stability and Prescribed Transient and Steady-State Attributes via Uniting Control
Abstract
In this paper, we unite a controller designed via the prescribed performance control methodology, with a given, in a black box form, locally asymptotically stabilizing control scheme that encapsulates any prior knowledge related to the controlled system. In that perspective, we devise a hybrid control strategy, to guarantee the exponential convergence of the output tracking error to a prespecified neighborhood of the origin, with a predefined minimum convergence rate. Furthermore, the origin of the uncertain nonlinear error system is rendered globally asymptotically stable, while preserving the boundedness of all signals in the closed loop. Attention is paid to maintain the complexity of the resulted control solution at low levels. The developed switching logic prevents the appearance of Zeno behavior and guarantees the termination of switchings in finite time. Illustrative simulations clarify and verify the approach.
Year
DOI
Venue
2020
10.1109/TAC.2019.2925504
IEEE Transactions on Automatic Control
Keywords
DocType
Volume
Convergence,Transient analysis,Complexity theory,Steady-state,Closed loop systems,Asymptotic stability
Journal
65
Issue
ISSN
Citations 
5
0018-9286
1
PageRank 
References 
Authors
0.35
10
2
Name
Order
Citations
PageRank
George S. Kanakis110.35
George A. Rovithakis274945.73