In this chapter, the eigenstructure synthesis using state variable feedback has been analysed. It is shown that the solution scheme is simple and just involves solving a set of linear equations to synthesise each eigenvector for a specified eigenvalue. The modal characterisation elegantly maps the n*m arbitrary feed back gain parameters to the arbitrary selection of n-eigenvalues and n*(m 1) eigenvector elements (total of n*m parameters). Since the system dynamic response is fully characterised by its eigenstructure, the direct control of the eigenstructure as discussed in this chapter provides a useful basis for feedback control design. The special mode decoupling eigenvector structures assignable, as illustrated in Example 2.1, demonstrates the unique advantage of the direct eigenvector element selection formulation alluded to in Chapter 1.

Inspec keywords: eigenstructure assignment; state feedback; dynamic response; control system synthesis

Other keywords: dynamic response; feedback control design; eigenstructure synthesis; state variable feedback; linear equations; direct control; decoupling eigenvector structures; eigenvalue

Subjects: Control system analysis and synthesis methods