摘要
针对广泛存在的控制输入约束和控制器增益摄动,提出了一类范数有界参数不确定线性系统的非脆弱保性能状态反馈控制方法,推导了一种新的求解约束非脆弱保性能控制律的充分条件,包括可保证具有有界二次性能和满足控制输入的矩阵不等式.最小化性能函数的约束非脆弱保性能控制问题可转化为一个线性矩阵不等式优化问题.提出了该方法的一个数值应用实例并对实例进行了仿真,仿真结果表明,所提方法能够使得闭环系统控制在允许的控制器增益摄动范围内,系统性能得到最大程度提高,同时保证满足控制输入.
Aiming at the widespread control input constraints and controller gain variations, a non-fragile guaranteed cost state-feedback control scheme was proposed for the linear system with a class of norm-bounded parameter uncertainties, and a new sufficient condition for the solution of constrained non-fragile guaranteed cost control law was derived, which included the matrix inequalities to ensure the quadratic cost function under a given upper bound and to satisfy the control input. The constrained non-fragile guaranteed cost control problem of minimizing the cost function could be converted into a linear matrix inequality （LIM） optimization problem. In addition, a numerical application example with this scheme was given and simulated. The simulation results show that with the proposed scheme, the closed-loop system can be controlled within the allowable gain variation scale, the performance of the system can be improved as well as possible, and the control input can he satisfied at the same time.
出处
《沈阳工业大学学报》
EI
CAS
北大核心
2015年第5期571-576,共6页
Journal of Shenyang University of Technology
基金
国家自然科学基金资助项目(61034001)
吉林省科技发展计划资助项目(20090148)
吉林省教育厅资助项目(20140352)
关键词
控制输入约束
非脆弱性
保性能控制
增益摄动
不确定系统
线性矩阵不等式
状态反馈
鲁棒性
control input constraint
non-fragility
guaranteed cost control
gain variation
uncertainsystem
linear matrix inequality （LIM）
state feedback
robustness
