Conference Proceeding

S-procedure for the analysis of control systems with parametric uncertainties via parameter-dependent Lyapunov functions

MIT, Cambridge, MA
07/1995; DOI:10.1109/ACC.1995.529394 pp.968 - 972 vol.1 In proceeding of: American Control Conference, 1995. Proceedings of the, Volume: 1
Source: IEEE Xplore

ABSTRACT In this paper, the problem of robust stability of systems subject
to parametric uncertainties is considered. Sufficient conditions for the
existence of parameter-dependent Lyapunov functions are given in terms
of a criterion which is reminiscent of but less conservative than
Popov's stability criterion. It is shown how the so-called S-procedure
plays a crucial role in the derivation of this criterion. A comparison
with existing stability criteria is done. An equivalent frequency-domain
criterion is given. Extensions to cover slowly time-varying systems and
robust performance are given

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Keywords

crucial role
 
Extensions
 
parameter-dependent Lyapunov functions
 
parametric uncertainties
 
Popov's stability criterion
 
robust performance
 
robust stability
 
stability criteria
 
Sufficient conditions
 
systems subject
 
terms
 

E. Feron