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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."

Keyword : "Nonlinear quadratic systems, randomly occurring actuator saturation, state feedback, time-varying Bernoulli distribution."

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