Title :
Stochastic Passivity and its Application in Adaptive Control
Author :
Yaesh, I. ; Shaked, U.
Author_Institution :
Control Dept., Israel Mil. Ind., Ltd., Ramat HaSharon
Abstract :
A positive-real like lemma for finite dimensional linear time invariant uncertain systems with state multiplicative noise is derived. The system uncertainties are assumed to be of either polytopic or Markov jump type. Passivity conditions for both cases are derived in terms of linear matrix inequalities. The results are used to the design a direct adaptive controller for a tracking system.
Keywords :
Markov processes; adaptive control; closed loop systems; control system synthesis; linear matrix inequalities; linear systems; stability; stochastic systems; tracking; uncertain systems; Markov jump controller; closed-loop stochastic stability; direct adaptive controller design; finite dimensional linear time invariant uncertain system; linear matrix inequality; polytopic jump controller; state multiplicative noise; stochastic passivity; tracking system; Adaptive control; Control systems; Linear matrix inequalities; Programmable control; Stability; Stochastic processes; Stochastic resonance; Stochastic systems; Uncertain systems; Uncertainty; Linear matrix inequalities (LMIs); neural network controllers (NNC); simplified adaptive control (SAC);
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2008.2006115
