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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...
A linear parameter varying approach for designing a constant output feedback controller for a linear time-invariant retarded system with stochastic multiplicative Wiener-type noise, that achieves a minimum bound on the Hinfin performance level is introduced. The stochastic uncertainties appear in the dynamic matrices, which correspond to the delayed and non-delayed states of the system, and in the...
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.
This paper considers the problem of H∞ output feedback controller design for stochastic nonlinear systems. The synthesis of the controller is based on the concept of dissipativity for stochastic systems which was introduced by the authors in a previous work. The stochastic dissipativity concept facilitates the establishment of a bounded real lemma (BRL) for stochastic systems, on the basis of which...
The problem of stationary Hinfin output-feedback tracking for linear discrete-time systems with stochastic state-multiplicative parameter uncertainties is investigated. We consider two tracking patterns depending on the nature of the reference signal i.e: whether it is measured on line or previewed in a fixed time-interval ahead. The stochastic uncertainties appear in both the dynamic and measurement...
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