Polynomial operator based sparse controller structures ith stability consideration

T o ne efficient controller structures are derived based o a polynomial operator approach. The first one ca be considered as a improved versio of the recently proposed direct-form II transposed (DFIIt) structure i the ρ-operator, i hich the first-order ρ-operators are replaced ith a set of second-order operators, hile the second one is the equivalent state-space realisation. A pole modulus sensitivity based stability measure is obtained and the corresponding expressio of the stability robustness for each structure is derived. The optimal structure problem is solved by maximising the stability robustness under the parameter dynamical range constraints for fixed-point implementations. A design example is given, hich sho s that the ne ly developed structures ca achieve much better stability performance tha those structures i first-order ρ-operators and furthermore, outperform the fully parametrised optimal realisatio i terms of both stability robustness and implementatio efficiency.