Retrospective-Cost Adaptive Control of Uncertain Hammerstein-Wiener Systems with Memoryless and Hysteretic Nonlinearities

摘要

We apply retrospective cost adaptive control (RCAC) with auxiliary nonlinearities to a command-following problem for uncertain Hammerstein-Wiener systems with memory-less and hysteretic nonlinearities. The only required modeling information of the linear plant is a single Markov parameter. To account for the nonlinearities, RCAC uses auxiliary nonlinearities that reflect the monotonicity properties of the nonlinearity. Various memoryless nonlinearities such as deadband, cubic, and saturation are considered. The hysteresis nonlinearity is modeled using the Prandtl-Ishlinskii model.