A revisit to I-controllablisability for descriptor linear systems

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A revisit to I-controllablisability for descriptor linear systems

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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.

Inspec keywords: matrix algebra; linear systems; closed loop systems; controllability

Other keywords: closed-loop system; I-controllablisability; orthogonal matrix transformation design; orthogonal matrix transformation; system matrices; l-controllablisability controller; descriptor linear systems

Subjects: Control system analysis and synthesis methods; Algebra

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