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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...
This paper investigates the problem of delay-dependent robust stochastic stabilization for uncertain markovian jump systems with multiple delays in both state and input. Based on the conditional expectation of the Markov chain's mode-set, an improved method of the delay-dependent robust stochastic stabilization for this markovian jump systems is obtained by introducing a mode-independent Liapunov-Krasovskii...
The paper considers stability and robust H∞ controller design for discrete-time systems with random communication delays and state quantization. Communication delays between sensors and controllers are modeled by a finite state Markov process. Measurements are assuming to be quantized by a logarithmic quantizer, and the effect of quantization errors are incorporated into the controller design. Based...
This paper addresses the quantized stabilization problem for single-input Markov jump systems. Mode-dependent and mode-independent quadratic control Lyapunov functions based on the availability of mode information at controller/quantizer are considered for the quantized feedback. Similar to the linear time-invariant case, it is shown that a mode-dependent (respectively, mode-independent) logarithmic...
The stochastic stability and robust stochastic stabilization for time-delay discrete Markovian jump singular systems with parameter uncertainties are discussed. Based on stochastic Lyapunov functional, a delay-dependent linear matrix inequalities (LMIs) condition for the time-delay discrete Markovian jump singular systems to be regular, causal and stochastically stable is given. With this condition,...
The problems of stochastic stability and sliding mode L2-Linfin 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 process...
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