Design of Dual-Range Linear Controllers for Nonlinear Systems

Abstract

A new procedure for synthesis of dual-range linear controllers for use with highly nonlinear, deterministic, time-invariant, and single-input single-output systems in a unity feedback configuration is developed. The procedure uses a factorization approach coupled with optimization which is used to parameterize and search the class of all stabilizing controllers for linear systems with integrity. The objective of the synthesis approach is to arrive at robust closed-loop systems that are solutions to the closed-loop model matching problem. The procedure is presented in an algorithmic form, and it is demonstrated via example problems. The results are compared with those previously obtained using a frequency domain approach.