On the effects of redundant control inputs
For a stabilizable system, the extension of the control inputs has no use for stabilizability, but it is important for optimal control. In this paper, the necessary and sufficient condition is discussed for the strict decrease of the quadratic optimal performance index with control input extensions. The initial state set is determined for the case of non-strict decrease. A similar result is also provided for discrete-time systems. These results show an essential difference between single-input and multiinput control systems. A satellite launch vehicle system is finally discussed for application.
Redundant control:Optimal control:Riccati equation:Hamilton matrix:Simplectic matrix.
Zhisheng Duan Lin Huang
State Key Lab for Turbulence and Complex Systems,Department of Mechanics and Aerospace Engineering,College of Engineering,Peking University,Beijing 100871,China
国际会议
哈尔滨
英文
604-608
2010-01-08（万方平台首次上网日期，不代表论文的发表时间）