Analog Circuit for Real-time Optimization of Constrained Control

This paper proposes a fast analog circuit implementation for naturally occurring optimization problems in constrained control. This class of problems may be expressed as the feedback interconnection of static nonlinearities and a feedback gain, and has recently received significant interest. The circuit is shown to be globally convergent and stable for a large class of feedback gains which generalizes existing results to cases where the feedback gain may be asymmetric. The proposed implementation is practical and can be realized directly with passive components and operational amplifiers or with a field programmable analog array (FPAA). Examples including MATLAB and Orcad PSpice simulations are included to demonstrate the effectiveness of the solution.