ABSTRACT
Control ...............................................................................................66 2.5.4 Actuator Dynamics of First Order ................................................ 67 2.5.5 Actuator Dynamics of Second Order ............................................ 70
2.6 Discussions and Conclusions ..................................................................... 73 References ............................................................................................................... 74
Polynomial eigenstructure assignment (PEA) [23] is a polynomial approach to eigenstructure assignment (EA) [17,19,21]. For a linear time-invariant (LTI) system, the PEA, similar to the EA, enables the placing of eigenvalues and eigenvectors and thus the shaping of the system response as desired with respect to inputs and outputs. Unlike the classical EA, the PEA enables the development of a solution for the eigenspace based on polynomial matrices. Similar to the EA, this design approach is valid only for LTI systems, which results in designers usually resorting to some interpolation process. However, the design approach developed here makes use of the explicit linear parameter-varying (LPV) parameterization to design directly a suitable LPV controller. Therefore, the approach stays simple, attractive, and comparable with other approaches while constructing an LPV controller [5,6].
