Title :
Decentralized Stabilization of Uncertain Systems With Interconnection and Feedback Delays: An LMI Approach
Author :
Ghosh, Sandip ; Das, Sarit K. ; Ray, Goshaidas
Author_Institution :
Dept. of Electr. Eng., Nat. Inst. of Technol., Rourkela
fDate :
4/1/2009 12:00:00 AM
Abstract :
This note presents a broad LMI condition that can ascertain the stability of uncertain systems under decentralized feedback in the presence of interconnection and feedback delays. Based on the Lyapunov´s direct approach with a four-term energy functional and a three-term quadratic formulation of the given state dynamics, this method has a larger search space than used so far. Numerical examples corroborate the superiority of this method vis-a-vis the existing ones for several subsets of the general problem.
Keywords :
Lyapunov methods; delays; feedback; functional analysis; interconnected systems; linear matrix inequalities; multivariable systems; search problems; stability; uncertain systems; Lyapunov direct approach; decentralized feedback; decentralized stabilization; feedback delay; four-term energy functional; interconnection delay; linear matrix inequality; search space; state dynamics; three-term quadratic formulation; uncertain system; Control systems; Delay effects; Distributed control; Linear matrix inequalities; Nonlinear control systems; Stability; State feedback; Uncertain systems; Uncertainty; Upper bound; Velocity control; Decentralized control; linear matrix inequality (LMI); uncertain time-delay systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2008.2010996
