Title
Universal controllers for robust control problems
Abstract
In this paper we discuss the construction of “universal” controllers for a class of robust stabilization problems. We give a general theorem on the construction of these controllers, which requires that a certain nonlinear inequality is solvablepointwisely or, equivalently, that arobust control Lyapunov function does exist. The constructive procedure producesalmost smooth controllers. The robust control Lyapunov functions extend to uncertain systems the concept of control Lyapunov functions. If such a robust control Lyapunov function also satisfies a small control property, the resulting stabilizing controller is also continuous in the origin of the state space. Applications of our results range from optimal to robust control.
Year
DOI
Venue
1997
10.1007/BF01213385
MCSS
Keywords
Field
DocType
satisfiability,control lyapunov function,lyapunov function,state space,robust control
Lyapunov function,Lyapunov equation,Control theory,Mathematical optimization,Control-Lyapunov function,Control theory,Lyapunov optimization,Lyapunov redesign,Adaptive control,Robust control,Mathematics
Journal
Volume
Issue
ISSN
10
2
1435-568X
Citations 
PageRank 
References 
3
1.24
1
Authors
1
Name
Order
Citations
PageRank
Stefano Battilotti113642.34