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研究了一类不确定离散时间系统的鲁棒H∞预见控制问题.其中采用一种新的方法构造扩大误差系统,避免对时变的系数矩阵取差分,从而成功构造简化的扩大误差系统.然后针对所求得的不确定系统的扩大误差系统,通过引入带有预见作用的状态反馈,研究鲁棒H∞保成本控制问题,得到确保鲁棒H∞控制器存在的充分条件及H∞状态反馈控制器的设计方法.该条件可以通过求解一个线性矩阵不等式优化问题而实现.所得控制器回到原系统就得到带有预见作用的最优预见控制器.而且,通过引入积分器,实现闭环系统对目标值信号的鲁棒无静差跟踪.最后的数值算例说明了本文理论的有效性.
A robust H∞ predictive control problem for a class of uncertain discrete-time systems is studied, in which a new method is used to construct an extended error system to avoid taking the difference of the time-varying coefficient matrix to construct a simplified extended error system. Aiming at the extended error system of the uncertain system obtained, the robust H∞ guaranteed cost control problem is investigated by introducing the state feedback with predictive effect, and the sufficient conditions for the existence of the robust H∞controller and the H∞ state feedback Controller design method, which can be solved by solving a linear matrix inequality optimization problem.Once the controller returns to the original system, we get the predictive controller with the predictive effect.Furthermore, by introducing the integrator, the closed-loop system Robust non-stationary tracking of the target signal The last numerical example shows the effectiveness of the theory in this paper.