Truncated Predictor Feedback for Periodic Linear Systems with Input Delays with Applications to the Elliptical Spacecraft Rendezvous
This paper considers stabilization of periodic linear systems with time-varying input delays.The truncated predictor feedback(TPF)approaches established earlier for time-invariant systems are generalized to the time-varying setting.By carefully investigating the solutions and properties to a class of parametric Lyapunov differential equations,it is proved the TPF controllers can indeed stabilize the concerned time-varying linear time-delay systems for arbitrarily large and bounded delays as long as the characteristic multiplier set of the open-loop system is within the closed unit circle.Both single input delay and multiple input delays are addressed.Moreover,the control matrices of the systems are not necessarily periodic.The developed TPF approach is then applied on the elliptical spacecraft rendezvous problem and numerical simulations validate the effectiveness of the established approaches.
Truncated predictor feedback Periodic time-varying linear systems Time-delay systems Elliptical spacecraft rendezvous
Bin Zhou Zhao-Yan Li
Center for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin,150001,China Department of Mathematics,Harbin Institute of Technology,Harbin,150001,China
国际会议
长沙
英文
3184-3189
2014-05-31（万方平台首次上网日期，不代表论文的发表时间）