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This paper describes the dynamical uncertain systems by the Takagi-Sugeno (T-S) fuzzy dynamic model, and proposes a LMI design method of the robust fuzzy sliding mode observer by applying the robust sliding-mode observer design principle based on the singular value decomposition. Firstly, the Lyapunov function is used as the critical condition which ensures the consistent convergence of the designed...
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...
Sliding mode design based on Lyapunov matrices is proposed as roll autopilot for a tail controlled missile. The search of Lyapunov matrix for systems with unmatched uncertainties is formulated in terms of linear matrix inequality. The proposed scheme ensures robust roll position control even in the presence of large mismatched parametric uncertainties and external disturbances. The performance of...
The problem of variable structure control is proposed for discrete-time systems with time-varying delay. Under the condition of unknown state, the observer design for the delay system is considered first, then based on this observer and with the Lyapunov stability theory and LMI technique, the variable structure controller is designed.
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