Constrained Optimal Nonlinear Regulators for Single-State Feedback

This work considers the regulator problem for single input-output linear plants in which only the plant output is available for control. A method is presented to specify an optimal nonlinear controller characteristic, constrained to lie within a given Popov sector, that yields improved performance over that obtained by proportional controllers. System performance is measured by a quadratic performance index, and performance is compared with that of both proportional and optimum linear state regulators.