摘要
提出了一种综合考虑系统输入时滞和控制器摄动的非脆弱H∞/L2-L∞静态输出反馈控制器的设计方法,并用于车辆主动悬架设计。针对悬架设计要求,分别用H∞和L2-L∞范数反映乘坐舒适性及时域硬约束要求。通过采用一个时滞相关Lyapunov函数分别获得了时滞相关非脆弱静态输出反馈H∞控制器和L2-L∞控制器的双线性矩阵不等式(BMI)存在条件。通过将粒子群优化(PSO)和差分进化(DE)的混合算法与线性矩阵不等式(LMI)方法相结合,求解具有BMI约束的优化问题。仿真结果表明,在存在输入时滞和控制器摄动的情况下,主动悬架仍然能够保证自身的性能。
This paper presents an approach to design non-fragile H∞/L2 -L∞ static output feedback control applied in design of vehicle active suspension, by considering input time-delay of the system and parameter perturbation of the controller. According to suspension design requirements, the H∞ and L2 - L∞ norms are used respectively to reflect ride comfort and time-domain hard constraints. By employing a delay-dependent Lyapunov function, existence conditions of delay-dependent non-fragile static output feedback H∞ controller and L2 - L∞ controller are derived respectively in terms of the feasibility of bilinear matrix inequalities （BMIs）. Then, a new procedure based on linear matrix inequality （LMI） optimization and a hybrid algorithm of the particle swarm optimization （PSO） and differential evolution （DE） is used to solve an optimization problem with BMI constraints. Simulation results show that the designed active suspension system can guarantee their own performance.
出处
《农业机械学报》
EI
CAS
CSCD
北大核心
2014年第8期1-7,共7页
Transactions of the Chinese Society for Agricultural Machinery
基金
国家高技术研究发展计划(863计划)资助项目(2009AA044403)
高等学校博士学科点专项科研基金资助项目(20120061110023)
关键词
车辆主动悬架
静态输出反馈
输入时滞
非脆弱控制
Vehicle active suspension Static output feedback Input time-delay Non-fragile control
