Real-Time Reachable Set Control for Neutral Singular Markov Jump Systems With Mixed Delays
Liang Zhang, Xudong Zhao, Ning Zhao
Abstract
In this study, the real-time (R-T) reachable set control problem for neutral singular Markov jump system (NSMJS) with mixed delays and bounded disturbance is studied under non-zero initial conditions. Firstly, with the help of the free-weighting matrix method and Lyapunov stability theory, sufficient conditions for R-T reachable set control of NSMJS are given by employing linear matrix inequality technique. Secondly, the controller gains of the closed-loop system are obtained by means of the matrix decoupling method. Finally, the effectiveness of the proposed method is verified by a direct current (DC) motor drive system with practical application background.
Topics & Concepts
Control theory (sociology)Decoupling (probability)MathematicsWeightingController (irrigation)Bounded functionSet (abstract data type)Matrix (chemical analysis)JumpStability (learning theory)Linear matrix inequalityComputer scienceControl (management)Mathematical optimizationEngineeringControl engineeringMathematical analysisMachine learningBiologyArtificial intelligenceComposite materialPhysicsMedicineProgramming languageRadiologyMaterials scienceAgronomyQuantum mechanicsStability and Control of Uncertain SystemsAdvanced Queuing Theory AnalysisAdvanced Battery Technologies Research