Stability and sensitivity of nonlinear sampled data systems

Abstract

Publisher Summary This chapter discusses stability and sensitivity of nonlinear sampled data systems. Nonlinear sampled data control systems (SDS) are becoming increasingly applied in modern control engineering. Their application embraces process control system, radio locating systems, and digital computer control systems. In some cases, nonlinear SDS are used as models of physiological systems. Nonlinearities involved in SDS may be of two types: (1) those inherent in the system and because of limited power resources (saturation) and component inaccuracies, and (2) those intentionally introduced into the systems to improve its properties. The chapter highlights that every nonlinear SDS must be stable. It is essential that SDS be able to retain its properties at least under small variations of its parameters and of the external disturbing excitation. The chapter also discusses equations of nonlinear SDS and stability of the equilibrium position.