International Journal of Adaptive Control and Signal Processing · 2010 · 113 citations · 26 references
Natural SciencesMathematicsSystems EngineeringDiscrete MathematicsDynamical SystemsSystem DynamicsControl SystemsControl TheoryFeedback ControlNonlinear ControlStabilityStability TheoryAsymptotic StabilityLyapunov FunctionsLyapunov StabilityNonlinear SystemsStabilization Of Nonlinear SystemsStabilization TheoryState Feedback ControlState Variables
Abstract This paper deals with sufficient conditions of asymptotic stability and stabilization for nonlinear discrete‐time systems represented by a Takagi–Sugeno‐type fuzzy model whose state variables take only nonnegative values at all times t for any nonnegative initial state. This class of systems is called positive systems. The conditions of stabilizability are obtained with state feedback control. This work is based on multiple Lyapunov functions. The results are presented in linear matrix inequalities form. A real plant is studied to illustrate this technique. Copyright © 2010 John Wiley & Sons, Ltd.
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