Adaptive Control Weighted Suboptimal Control for Linear Dynamic Systems Having a Polynomial Input

A simple direct adaptive control weighted suboptimal control algorithm is presented which is derived from minimizing a new criterion incorporating a costing term on the highest power of the nonlinear polynomial. The algorithm is very useful for the control of all stable nonminimum phase and som unstable nonminimum phase linear systems having a polynomial input. Both stochastic and deterministic situations are considered and the global convergence of the proposed algorithm has been established. Simulation results are given to show the effectiveness of the algorithm.