Title :
Rational L∞-suboptimal controllers for SISO continuous-time systems
Author :
Wang, Zi-Qin ; Sznaier, Mario
Author_Institution :
Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA, USA
fDate :
9/1/1996 12:00:00 AM
Abstract :
We study the problem of minimizing the weighted amplitude of the time response due to a given fixed input signal for single-input/single-output (SISO) continuous-time systems and focus on obtaining rational suboptimal solutions. An EAS (Euler approximating system)-based method is proposed for designing a rational L∞ -suboptimal controller for SISO systems. It is shown that this rational approximation is the best one among a set of rational approximations, in the sense of providing the tightest upper bound and that it can approximate the optimal cost arbitrarily close
Keywords :
approximation theory; continuous time systems; control system synthesis; minimisation; suboptimal control; SISO continuous-time systems; rational L∞-suboptimal controllers; rational approximation; single-input/single-output systems; weighted amplitude; Control systems; Cost function; Delay; Energy measurement; Mathematical model; Output feedback; State feedback; Time domain analysis; Time factors; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on