This technical memorandum presents a unified framework for studying linear time-invariant (LTI) systems subject to control input nonlinearities. The framework is based on a two-step design paradigm: first, design a linear controller ignoring control input nonlinearities, and then add anti-windup bumpless transfer (AWBT) compensation to minimize the adverse effects of these nonlinearities on closed-loop performance. The resulting AWBT compensation is applicable to multivariable controllers of arbitrary structure and order. The paper unifies all known LTI anti-windup and/or bumpless transfer compensation schemes under this framework. It discusses how the framework can handle standard issues such as stability and performance analysis, with or without plant uncertainties. The main result is the unification of existing AWBT schemes under a general framework. The paper also provides a detailed analysis of various known AWBT schemes, including anti-reset windup, conventional anti-windup, Hanus conditioned controller, observer-based anti-windup, and modified internal model control (IMC). Each scheme is shown to be a special case of the unified framework, demonstrating its generality and applicability.This technical memorandum presents a unified framework for studying linear time-invariant (LTI) systems subject to control input nonlinearities. The framework is based on a two-step design paradigm: first, design a linear controller ignoring control input nonlinearities, and then add anti-windup bumpless transfer (AWBT) compensation to minimize the adverse effects of these nonlinearities on closed-loop performance. The resulting AWBT compensation is applicable to multivariable controllers of arbitrary structure and order. The paper unifies all known LTI anti-windup and/or bumpless transfer compensation schemes under this framework. It discusses how the framework can handle standard issues such as stability and performance analysis, with or without plant uncertainties. The main result is the unification of existing AWBT schemes under a general framework. The paper also provides a detailed analysis of various known AWBT schemes, including anti-reset windup, conventional anti-windup, Hanus conditioned controller, observer-based anti-windup, and modified internal model control (IMC). Each scheme is shown to be a special case of the unified framework, demonstrating its generality and applicability.