Robust control for a class of uncertain neutral‐type systems with time‐varying delays
Xin Meng, Cunchen Gao, Zhen Liu, Baoping Jiang
Abstract
Abstract This paper investigates the problem of robust asymptotic stabilization for a class of uncertain neutral‐type systems with time‐varying delays. A sufficient condition is obtained to ensure the considered system is robust asymptotic stabilization with disturbance attenuation level , which is based on the sliding mode observer framework. Meanwhile, a novel integral sliding surface function with the compensator is proposed to make sure the considered system can be stabilized. And the gain matrix is obtained by solving a strict linear matrix inequality. Finally, two numerical examples are provided to demonstrate the validity and potential of the proposed method.
Topics & Concepts
Control theory (sociology)Observer (physics)Class (philosophy)AttenuationType (biology)Linear matrix inequalityRobust controlMathematicsExponential stabilityFunction (biology)Matrix (chemical analysis)Computer scienceControl systemControl (management)Mathematical optimizationEngineeringNonlinear systemPhysicsMaterials scienceEcologyQuantum mechanicsComposite materialOpticsEvolutionary biologyBiologyArtificial intelligenceElectrical engineeringStability and Control of Uncertain SystemsAdaptive Control of Nonlinear SystemsStability and Controllability of Differential Equations