Quantum mechanics

Control (management)

Biology

Statistics

Actuator

Computer science

Controller (irrigation)

Thermodynamics

Physics

Nonlinear system

Mathematics

Agronomy

Discrete time and continuous time

Stability theory

Artificial intelligence

Jump

Control theory (sociology)

Dissipative system

Automatica

This paper addresses the dissipative control problem for nonlinear Markovian jump systems subject to actuator failures and mixed time-delays, where the mixed time-delays consist of both discrete and distributed time-delays and are mode-dependent. The purpose of the problem under investigation is to design a state feedback controller such that, in the presence of actuator failures and mixed time-delays, the closed-loop system is asymptotically stable in the mean square sense while achieving the pre-specified dissipativity. By constructing a Lyapunov–Krasovskii functional and using a completing square approach, sufficient conditions are proposed for the existence of the desired controller in terms of the solvability of certain Hamilton–Jacobi inequalities. Finally, an illustrative numerical example is provided to demonstrate the effectiveness of the developed control scheme.

Dissipative control for nonlinear Markovian jump systems with actuator failures and mixed time-delays