Dynamic predictor for systems with state and input delay: A time‐domain robust stability analysis
Luis Antonio Esteve Juárez, Sabine Mondié, Vladimir L. Kharitonov
Abstract
Summary The robust stability of linear systems with both state and input delay in closed loop with dynamic predictor‐based controller is analyzed. The problem of time‐varying matrix uncertainty is studied in the Lyapunov‐Krasovskii framework. The complete type functional with prescribed derivative expressed in terms of the delay Lyapunov matrix associated with the nominal system is a key piece of our analysis. The robust stability conditions depend on the delay Lyapunov matrix whose computation is carried out. An illustrative example is presented.
Topics & Concepts
Control theory (sociology)Stability (learning theory)Controller (irrigation)MathematicsComputationState (computer science)Robust controlMatrix (chemical analysis)Lyapunov functionComputer scienceLinear systemKey (lock)Control systemControl (management)AlgorithmNonlinear systemEngineeringBiologyArtificial intelligenceMathematical analysisMachine learningMaterials scienceComposite materialPhysicsQuantum mechanicsComputer securityAgronomyElectrical engineeringStability and Control of Uncertain SystemsControl and Stability of Dynamical SystemsStability and Controllability of Differential Equations