Quadratic and cubic neural units for identification and fast state feedback control of unknown non-linear dynamic systems

The main goal of the paper is to introduce Quadratic and Cubic neural units (QNU, CNU) as appropriate neural units for fast state feedback control of unknown, unstable, non-linear systems and depict their ability to provide a more robust and faster response than as it is in the case of a common linear state feedback controllers. The concepts of CNU and QNU are briefly introduced. Stability criteria of a non-linear control loop including CNU and QNU are discussed. The universal structure of a stable and fast controller of an unknown linear or non-linear second order system with variable damping realized by a subset of CNU is proposed. Results of unknown nonlinear system identification and control are shown. A possible structure of a neural nonlinear state controller which uses a subset of CNU for parallel identification of an unknown, controlled nonlinear plant with varying parameter values and structure is considered.