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Retarded linear systems with stochastic uncertainties - Robust reduced-order H output-feedback control

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3 Author(s)
Gershon, E. ; Fac. of Electr. Eng., Holon Inst. of Technol. (HIT), Holon, Israel ; Shaked, U. ; Berman, N.

In this paper a method for designing a reduced-order output feedback controller for a linear time-invariant retarded system with stochastic state-multiplicative Wiener-type noise, that achieves a minimum bound on the H performance level, is introduced. The solution of the stochastic H reduced-order output-feedback control problem is solved, for the stationary case, via the input-output approach where the system is replaced by a non-retarded system that contain, instead, deterministic norm-bounded uncertainties. The stochastic uncertainties appear in the dynamic matrices, which correspond to the delayed and non-delayed states of the system. In this problem, a cost function is defined which is the expected value of the standard H performance cost with respect to the stochastic parameters. The results achieved for the nominal case are extended to the case where the system matrices reside in a given polytope.

Published in:

Control & Automation (MED), 2010 18th Mediterranean Conference on

Date of Conference:

23-25 June 2010