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针对用多胞型模型表示的不确定离散系统,研究了具有控制约束的非脆弱H∞状态反馈控制。根据H∞控制理论的有界实引理,得到了控制器增益具有加性扰动(扰动满足多胞型不确定模型)的状态反馈控制器;采用线性矩阵不等式技术,获得系统具有控制约束的非脆弱H∞控制器的最优解;融合滚动优化原理,实现了系统状态反馈实时控制;采用一阶倒立摆模型进行仿真,结果表明该算法有效、可行。
For the uncertain discrete systems represented by the multi-cell model, the non-fragile H∞ state feedback control with control constraints is studied. According to the bounded real lemmas of H∞ control theory, a state feedback controller with additive gain perturbation (the perturbation satisfies the multi-cell uncertain model) is obtained. By using the linear matrix inequality technique, the system with control constraint is obtained. The optimal solution of the weak H∞controller is obtained. The rolling optimization principle is combined to realize the real-time control of the system state feedback. The simulation of the first-order inverted pendulum model shows that the algorithm is effective and feasible.