|State Feedback Design for Nonlinear Quadratic Systems with Randomly Occurring Actuator Saturation
Yujing Shi*, Yueru Li, Shanqiang Li and Hongyu Liu
International Journal of Control, Automation, and Systems, vol. 15, no. 3, pp.1117-1124, 2017
Abstract : "This paper is concerned with the problem of state feedback control for nonlinear quadratic systems
with randomly occurring actuator saturation. The considered actuator saturation is assumed to occur in a random
way, and the randomly occurring rates of the saturation are time-varying with known upper and lower bounds. By
using the Lyapunov approach, a sufficient condition is given to guarantee that the closed-loop system is locally
asymptotically stable in mean-square sense. The desired controller gain can be obtained in terms of the solutions
to certain linear matrix inequalities. Finally, a simulation example is provided to show the effectiveness of the
proposed control scheme."
"Nonlinear quadratic systems, randomly occurring actuator saturation, state feedback, time-varying Bernoulli distribution."