ABSTRACT

An introduction to the geometric method (often called geometric approach) has been provided. The basic tools have been described and applied to the disturbance localization (also called disturbance decouping) problems to demonstrate the use of the tools. Numerous research articles were published on the subject for the last 40 years. Some are included in the list of references in this chapter and a great many others can be found in the books and articles already referenced in this chapter. Reports for practical applications can also be found in the literature, for example, Takamatsu et al. (1979); Massoumnia et al. (1989); Prattichizzott et al. (1997); Barbagli et al. (1998); and Marro and Zattoni (2004). This chapter has dealt with continuous-time systems. Many articles in the literature treat discrete-time systems, for example, Akashi and Imai (1979), Hamano and Basile (1983), and Marro and Zattoni (2006).