Quantum mechanics

Control (management)

Cyber-physical system

Biology

Statistics

Markov process

Stochastic process

Probabilistic logic

Operating system

Computer science

Bounded function

Controller (irrigation)

Physics

Nonlinear system

Sliding mode control

Mathematics

Agronomy

Lyapunov function

Mathematical analysis

Artificial intelligence

Interval (graph theory)

Jump

Combinatorics

Control theory (sociology)

Mode (computer interface)

IEEE Transactions on Automatic Control

This paper addresses a finite-time sliding-mode control problem for a class of Markovian jump cyber-physical systems. It is assumed that the control input signals transmitted via a communication network are vulnerable to cyber-attacks, in which the adversaries may inject false data in a probabilistic way into the control signals. Meanwhile, there may exist randomly occurring uncertainties and peak-bounded external disturbances. A suitable sliding mode controller is designed such that state trajectories are driven onto the specified sliding surface during a given finite-time (possibly short) interval. By introducing a partitioning strategy, the stochastic finite-time boundedness over the reaching phase and the sliding motion phase is analyzed, respectively. A key feature is that a set of mode-dependent sufficiently small scalars are introduced into some coupled Lyapunov inequalities such that the feasible solutions are easily obtained for the stochastic finite-time boundedness of the closed-loop systems. Finally, the practical system about a single-link robot-arm model is given to illustrate the present method.

Finite-Time Sliding-Mode Control of Markovian Jump Cyber-Physical Systems Against Randomly Occurring Injection Attacks