Title :
Minimum magnitude response to a fixed input
Author_Institution :
Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia
Abstract :
We investigate the exact solution, minimizing the l∞ norm of the regulated output for a fixed input in SISO discrete-time feedback control systems. This is achieved by allowing non-zero steady state value and parametrizing the output to have a rational transfer function with chosen poles on the stability boundary. Alongside these l∞-optimal solutions, we obtain solutions in l1 with the same order transfer functions and arbitrarily close I∞ norms
Keywords :
discrete time systems; feedback; poles and zeros; stability; transfer functions; SISO systems; discrete-time systems; feedback; minimum magnitude response; poles; rational transfer function; stability; Chebyshev approximation; Closed-form solution; Control systems; Error correction; Feedback control; Finite impulse response filter; Interpolation; Stability; Steady-state; Transfer functions;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2001.914641
