【摘要】 研究了含有多面体参数摄动Delta算子系统的参数依赖H∞控制问题.基于Delta算子系统有界实引理,提出了扩展参数依赖H∞性能准则.利用该准则,以参数化的线性矩阵不等式形式给出了参数依赖H∞控制器存在的充分条件,并通过求解优化问题设计控制器.研究结果表明该方法保守性较低,且物理概念清晰.数值示例验证了所提方法的有效性.更多还原

【Abstract】 The problem of parameter-dependent H∞ control for polytopic Delta operator systems is investigated.Based on bounded real lemma,extended H∞ performance criterion by means of parameter-dependent Lyapunov function is presented.A sufficient condition for H∞ controller is derived in terms of parameterized linear matrix inequalities.The designed controller can be obtained from the solution of an optimization problem.The proposed controller design procedure is less conservative,and has clear physical meanings.A numerical example shows the effectiveness of the proposed approach.更多还原