摘要
针对一类带有时滞的范数有界不确定仿射离散系统,采用Lyapunov方法,利用线性矩阵不等式(LMI)和双线性矩阵不等式(BMI)优化技术,给出了相应闭环系统鲁棒稳定性新的判定标准,并且设计出系统稳定的状态反馈鲁棒控制器,给出了算法设计流程,最后通过仿真案例验证了该方法的正确性和有效性.
Focusing on a class of norm-bounded uncertain affine discrete systems with state delay, based on the Lyapunov method, by utilizing linear matrix inequalities（LMI） and bilinear matrix inequalities （BMI） technique, a delay-independent criteria is proposed to guarantee the asymptotic stability of the closed loop system through designing state feedback controller. Meanwhile, an algorithm is addressed. A numerical example is given to illustrate effectiveness of the proposed theoretical results.
出处
《西安工程大学学报》
CAS
2013年第6期831-834,共4页
Journal of Xi’an Polytechnic University
基金
国家自然科学基金资助项目(20273028)
