河南理工大学学报（自然科学版）2024，Vol.43Issue(4)：152-161,10.DOI:10.16186/j.cnki.1673-9787.2022040028
基于特征结构配置的奇异振动系统鲁棒镇定
Robust stabilization for singular vibration systems based on eigenstructure assignment
摘要
Abstract
Due to infinite eigenstructure in singular vibration systems,the dynamic performance of systems is poor,which brings difficulties to practical application.Objectives In order to improve the stability of sin-gular vibration systems,Methods robust stabilization for singular vibration systems based on eigenstructure assignment was presented using acceleration-velocity active control strategy.The stabilization problem was discussed in singular vibration systems based on eigenstructure assignment and singular value decomposi-tion method.The parametric design method of stabilization controller was proposed.The robust eigenvalues stabilization problem and the design scheme of stabilization controller for singular vibration systems dis-turbed by parameters were discussed under random disturbance environment.A multivariate function based on perturbation displacement was constructed by introducing Lagrange multiplier.The robust stabilization problem was transformed into the eigenstructure optimization problem of descriptor systems.A new controller design method for robust stabilization in singular vibration systems was proposed by using the constructed disturbance function and Rayleigh theorem.Results The design steps of corresponding controller were given by two algorithms.Simulations showed the feasibility of the algorithms.Numerical results revealed that the proposed methods could stabilize the singular vibration systems quickly,and the closed-loop systems had good steady state performance.Conclusions The dynamic performance of the singular vibration systems was improved,and the anti-interference ability of the closed-loop systems was enhanced by using proposed new methods.The robustness of closed-loop systems was therefore improved.关键词
振动系统/特征结构配置/镇定/鲁棒性Key words
vibration systems/eigenstructure assignment/stabilization/robustness分类
信息技术与安全科学引用本文复制引用
余培照,李孟孟,王闯..基于特征结构配置的奇异振动系统鲁棒镇定[J].河南理工大学学报（自然科学版）,2024,43(4):152-161,10.基金项目
国家自然科学基金资助项目(61903342) （61903342）
河南省科技攻关计划项目(232102210086) （232102210086）
