HMM-Based Asynchronous Controller Design of Markovian Jumping Lur’e Systems Within a Finite-Time Interval
Rong Nie, Shuping He, Fei Liu, Xiaoli Luan, Hao Shen
Abstract
This article study the asynchronous control problem for a class of discrete-time Markovian jumping Lur’e systems (MJLSs) over the finite-time interval. The partial accessibility of system modes with respect to the designed controller is described by a hidden Markov model (HMM). The asynchronous control law consists of two parts, i.e., the states and the nonlinearities involved in the dynamics of the controlled system. By selecting the appropriate Lyapunov functional and applying the modified sector condition, the finite-time stabilization conditions under the control constraints are derived. Finally, the effectiveness of the designed method is verified by an illustrative simulation.
Topics & Concepts
Asynchronous communicationInterval (graph theory)JumpingComputer scienceHidden Markov modelControl theory (sociology)Markov processController (irrigation)MathematicsArtificial intelligenceControl (management)StatisticsBiologyComputer networkCombinatoricsPhysiologyAgronomyStability and Control of Uncertain SystemsControl Systems and IdentificationPetri Nets in System Modeling