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This paper describes a method for designing sliding mode observer for robust estimation of state and fault in a class of linear systems with uncertainty. A constrained Lyapunov equation must be met guaranteeing a stable sliding motion on the switching manifold that is insensitive to matched uncertainties and faults. This equation is solved by using Linear Matrix Inequalities (LMIs) techniques. A fault...
The disturbance-observer-based sliding mode controller is designed for a class of nonlinear uncertain time-delay systems. A disturbance observer, unbiased in terms of the weighted mean, is designed to estimate the lumped disturbances with time-varying delay by the current system states, and the corresponding estimation error is analyzed. By incorporating Hinfin control technique into sliding mode...
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