Quantum mechanics

Control (management)

Biology

Statistics

Markov process

Applied mathematics

Basis (linear algebra)

Markov chain

Constraint (computer-aided design)

Computer science

Controller (irrigation)

Computer network

Physics

Nonlinear system

Mathematics

Asynchronous communication

Agronomy

Conic section

Lyapunov function

Artificial intelligence

Geometry

Interval (graph theory)

Combinatorics

Control theory (sociology)

Class (philosophy)

IEEE Transactions on Systems Man and Cybernetics Systems

This article focuses on the finite-time asynchronous output feedback control scheme for a class of Markov jump systems subject to external disturbances and nonlinearities. The conic-type nonlinearities hold a constraint condition which locates in a known hyper-sphere with an indefinite center. In addition, the asynchronization phenomenon occurs between the system and the controller, which can be represented by means of a hidden Markov model. A sufficient condition is derived not only to guarantee the finite-time boundedness of the acquired closed-loop systems but also to possess a desired <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> performance on the basis of Lyapunov functional technique. Finally, the validity and feasibility of the proposed method are demonstrated with a dc-motor experiment.

Asynchronous Output Feedback Control for a Class of Conic-Type Nonlinear Hidden Markov Jump Systems Within a Finite-Time Interval