Non-Fragile Guaranteed Cost Control for Uncertain Discrete System with Control input Constraints
[Purposes]In this paper,a non-fragile guaranteed performance control method is proposed for uncertain discrete systems with input constraints under perturbation.[Methods]In this method,By tak-ing the minimum objective function as the performance index and taking the saturation range of the con-trol input as the constraint condition,the non-fragile guaranteed performance control law under the con-straint state is derived.Secondly,the nonlinear matrix inequality is constructed by Lyapunov equation.Then,Schur's complement theorem and Cuckoo bird intelligent optimization algorithm are used to solve the inequality,and the non-fragile guaranteed performance control law parameters under the control in-put constraints are obtained.Finally,the experiment is verified by Quanser-3-DOF gyroscope platform.[Findings]The results show that the steady-state error of the proposed method is less than 0.07 and the tracking error is less than 0.15.[Conclusions]The method proposed in this paper has higher robustness in the face of disturbance and perturbation,and is of great significance for improving the stability and control accuracy of the 3-DOF gyroscope.
uncertain discrete systemcontrol input constraintnon-fragileguaranteed performance control