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Robust state estimation of a discrete time-varying uncertain system is investigated in this paper when there are not only process and measurement noise, but also parameter uncertainties which affect a state-space model arbitrarily. The expectation minimization based robust state estimation is generalized to uncertain linear systems with a known deterministic input signal. The derived robust estimator...
In this paper, a robust fault detection filter design method for uncertain systems in linear fractional transformation (LFT) formulation with unknown inputs is proposed. The basic idea is to convert the complicated ℋ-/ℋ∞ problem to an easier ℋ∞ model following problem. Moreover, two major improvements have been made in this research. First, the uncertain systems in LFT formulation are studied. This...
In this paper the schemes to compute robust control invariant sets for linear (uncertain) systems are collected, which are not necessary minimal robust control invariant sets. Firstly, the concept of logarithmic norm is resorted to a simply differential functional inequality. Feedback control laws are obtained for both of the two schemes. In the scheme based on the differential functional inequality,...
The delay-dependent sliding mode control problem for a class of uncertain time-delay Markov jump hybrid systems is considered. Under the assumption of matched system uncertainties, the sufficient conditions are proposed to guarantee exponentially stable in the mean square of reduced-order sliding mode system in terms of delay-dependent matrix inequalities. The correspond sliding mode control law is...
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