Nonlinear plants, factorizations and stable feedback systemsFor nonlinear plants represented by causal maps defined over extended spaces, right factorization and normalized right-coprime factorization concepts are discussed in terms of well-posed stable feedback systems. This setup covers continuous-time, discrete-time, time-invariant or time-varying input-output maps. The nonlinear maps are factored in terms of causal bounded-input bounded-output stable maps. In factored form, all instabilities of the original map are represented by the inverse of a causal stable `denominator' map. The existence of maps with right factorizations and normalized right-coprime factorizations is shown using a well-posed stable unity-feedback system. In the case where one of the subsystems has a normalized right-coprime factorization, the stability of the feedback system is equivalent to the stability of the pseudostate map.
Document ID
19880047486
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Desoer, Charles A. (California Univ. Berkeley, CA, United States)
Kabuli, M. Guntekin (California, University Berkeley, United States)