RATIONAL L-INFINITY-SUBOPTIMAL CONTROLLERS FOR SISO CONTINUOUS-TIME SYSTEMS

In this paper we study the problem of minimizing the weighted amplitud e of the time response dire to a given fixed input signal for single-i nput/single-output (SISO) continuous-time systems and focus on obtaini ng rational suboptimal solutions, An EAS (Euler approximating system)- based method is proposed for designing a rational L(x)-suboptimal cont roller for SISO systems, It is shown that this rational approximation is the best one among a set of rational approximations, in the sense o f providing the tightest upper bound and that it can approximate the o ptimal cost arbitrarily close.