OUTPUT DEAD BEAT CONTROL FOR A CLASS OF PLANAR POLYNOMIAL SYSTEMS

Output dead beat control for a class of nonlinear discrete time system s, which are described by a single input-output (I-O) polynomial diffe rence equation, is considered. The class of systems considered is rest ricted to systems with a two-dimensional state space description. It i s assumed that the highest degree with which the present input appears in the equation is odd. Necessary and sufficient conditions for the e xistence of output dead beat control and for the stability of the zero output constrained dynamics are presented. We also design a minimum t ime output dead beat control algorithm (feedback controller) which yie lds stable zero dynamics, whenever this is feasible. A number of inter esting phenomena are discussed and illustrated with examples.