基于NLMIs拦截弹控制系统鲁棒最优设计  

Robust Optimal Design of Control System of Near Space Interceptor Based on NLMIs

作　　者：凡国龙[1] 梁晓庚[1,2] 朱学平[3] 

机构地区：[1]西北工业大学自动化学院,西安710072 [2]中国空空导弹研究院,河南洛阳471009 [3]西北工业大学航天学院,西安710072

出　　处：《弹道学报》2013年第4期38-42,共5页Journal of Ballistics

基　　金：西北工业大学基础研究基金项目(JC20110239)

摘　　要：临近空间拦截弹执行机构饱和影响控制系统的响应性能,针对此问题,提出了基于NLMIs鲁棒最优的控制系统设计方案;建立执行机构饱和算子模型并给出控制系统结构,引入顶点多项式理论给出控制系统数学模型,通过定理给出非线性控制系统的鲁棒最优控制器结构,利用迭代算法把NLMIs转化成LMIs,基于LMI凸优化理论获得控制器解,定点仿真验证了该算法的合理性。仿真结果表明,所设计的非线性控制系统是鲁棒最优的设计。According to the nonlinear saturation of the actuator of near space interceptor（NSI）influencing the rapidity of control system,the robust optimal control theory for the control system was proposed based on NLMIs.The actuator saturation operator model was established,and control system structure was given.The mathematic model of the nonlinear control system was given based on the vertex polynomial.The structure of robust optimal controller of nonlinear control system was given by theorem.Based on the iterative algorithm,NLMIs was transformed into LMIs.The controller gain was obtained based on LMI convex optimization theory,and the algorithm was verified by fixed point simulation.The simulation results show that the designed nonlinear control system is robust and optimal.

关 键 词：临近空间拦截弹 执行机构饱和 非线性矩阵不等式 鲁棒最优设计 

分 类 号：TJ765.2[兵器科学与技术—武器系统与运用工程]