ABSTRACT
This chapter presents the locus of a perturbed relay system (LPRS) method, and provides discusses a general methodology of such an analysis based on the frequency-domain concepts. One of possible techniques of LPRS computing is to represent the transfer function as partial fractions, compute the LPRS of the component transfer functions, and add those partial LPRS together in accordance with the additivity property. The knowledge of the LPRS of the low-order dynamics is important for other reasons too because some features of the LPRS of low-order dynamics can be extended to higher order systems. The knowledge of some properties of the LPRS is helpful for its computing, checking the results of computing, and especially for the design of linear compensators with the use of the LPRS method. The equivalent gain of the relay in the closed-loop system and input–output properties of the plant are defined by different frequency ranges of the LPRS.
