On the effects of redundant control inputs in discrete-time systems
This paper considers the effects of the redundant control inputs in discrete-time systems. A necessary and sufficient condition for the strict decrease of the quadratic performance index with input extension is introduced. For the non-strict decrease cases, the initial state set is determined by using simplictic matrix eigenvectors and generalized eigenvectors. The guaranteed cost problem is also solved for uncertain systems with input extension. An optimizing iterative algorithm is presented to choose the input matrix columns for a better performance index. An example is given to illustrate the results.
redundant control optimal control Riccati equation simplectic matrix
DUAN Zhisheng HUANG Lin JIANG Zhong-Ping
State Key Lab for Turbulence and Complex Systems and the Department of Mechanics and Aerospace Engin State Key Lab for Turbulence and Complex Systems and the Department of Mechanics and Aerospace Engin
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
165-170
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）