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A revisit to I-controllablisability for descriptor linear systems

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4 Author(s)
Wu, A.-G. ; Harbin Inst. of Technol., Harbin ; Duan, G.-R. ; Zhao, Y. ; Yu, H.-H.

In terms of the original system matrices, a new criterion is given for the I-controllablisability of descriptor linear systems. The range of the dynamical orders that the resultant closed-loop system can achieve is also characterised. A general parameterisation of all the I-controllablising controllers that make the resultant closed-loop system have the desired dynamical order is presented. The design is based on orthogonal matrix transformations that can be implemented in a numerically stable way.

Published in:

Control Theory & Applications, IET  (Volume:1 ,  Issue: 4 )