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In this paper, state feedback controller is applied to solve robust fault-tolerant problem for singular bilinear system with Markovian jump. The aim of this problem is to design a state feedback controller that ensures stochastic stability of the closed-loop system and the L2-induced gain from the noise signal to the estimation signal remains bounded by a prescribed value, whether the actuators are...
The problems of stochastic stability and sliding mode robust guaranteed cost control for a class of nonlinear matched and mismatched uncertain systems with stochastic jumps are considered in this paper. The uncertain system under consideration may have mismatched norm bounded uncertainties in the state matrix. The transition of the jumping parameters in the systems is governed by a finite-state markov...
This paper investigates the observer-based fault detection filtering problem for continuous-time descriptor Markov jump linear systems (DMJLSs). Both parameter uncertainties and state delays are assumed to be time-varying but bounded. A fault detection filter (FDF) is designed such that for all admissible uncertainties, the resultant filtering dynamics is robust stochastically stable, and the residual...
This paper deals with the controller design problem for Markovian jump systems subject to partial unknown transition probabilities and actuator saturation. Different from the previous results where complete knowledge on the transition probabilities is available, a new controller synthesis scheme is proposed as well as an estimate of the domain of attraction in mean square sense. A sufficient condition...
The paper addresses the problem of H?? model reduction for uncertain Markovian jump systems with time-varying delay and uncertain switching probabilities. The purpose is to find a low-order model which can be used to approximate the original system such that the error system has a prescribed H?? performance. A sufficient condition is obtained in the form of matrix inequality. The cone complementary...
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