Design of model following systems using the companion transformation

✍ Scribed by D.F. Wilkie; W.R. Perkins

• Publisher: Elsevier Science
• Year: 1969
• Tongue: English
• Weight: 586 KB
• Volume: 5
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(69)90028-4

✦ Synopsis

A new approach is presented for the design of model following systems which involves the minimization of an algebraic, rather than integral, measure of the difference between the controlled system and the model.

Sumnlary--A new approach is presented for the design of single input, linear, time-invariant model following systems. The performance index to be minimized is the norm of the difference between the model and system companion transformations, with the constraint that the system and model eigenvalues are the same. This constrained minimization is converted to an unconstrained algebraic minimization by including state feedback in the controller. Since no iterative solutions of the differential equations are required, the solution time is much less than that required for approaches to this problem involving minimization of an integral performance index. The motivation for the new method is discussed, and an example demonstrates how the approach can lead to a fast solution of model following problems.