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针对不确定参数是时变但满足匹配条件的时滞广义双线性系统的鲁棒控制问题进行了研究,设计状态反馈鲁棒控制器,使得所有满足条件的不确定时滞广义双线性系统鲁棒稳定。基于Lyapunov稳定性理论,采用线性矩阵不等式方法,提出了不确定时滞广义双线性系统鲁棒镇定的充分条件,并给出了使得闭环系统鲁棒镇定的状态反馈控制器设计方法。定理解决了介于非线性和线性之间的不确定时滞广义双线性系统的有关理论。仿真实例说明了定理的有效性和合理性。
Aiming at the robust control problem of singular bilinear systems with time-varying uncertain parameters but satisfying the matching conditions, the state feedback robust controller is designed so that all the uncertain bounded singular bilinear systems Robust and stable. Based on the Lyapunov stability theory, the sufficient conditions for the robust stabilization of singular bilinear systems with time-delay under uncertainties are proposed by using the method of linear matrix inequalities. The state feedback controller design method for robust stabilization of closed-loop systems is given. Theorem solves the relevant theory of generalized bilinear systems with time-delay uncertainty between nonlinearity and linearity. The simulation example shows the validity and rationality of the theorem.