Title :
Pole placement for l1-suboptimal design
Author :
Halpern, Mark E. ; Evans, Robin J. ; Hill, Robin D.
Author_Institution :
Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia
Abstract :
In this paper we incorporate placement of one real closed loop pole into an l1 controller design problem-that of designing a stabilising feedback compensator to minimise the l1 norm of the tracking error when following a specified bounded command in a SISO discrete-time system. It is well known that the optimal solution to this problem involves a deadbeat closed loop map of finite, but possibly very high order, from command to tracking error. We show that for a class of plants, if the controller order is to be less than that required for the l1-optimal solution, it is better to use closed loop pole locations other than deadbeat
Keywords :
closed loop systems; compensation; control system synthesis; discrete time systems; feedback; minimisation; pole assignment; stability; suboptimal control; SISO discrete-time system; deadbeat closed-loop map; l1 controller design problem; l1 norm minimisation; l1-suboptimal design; pole placement; real closed-loop pole placement; specified bounded command; stabilising feedback compensator; tracking error; Closed-form solution; Control systems; Design optimization; Error correction; Interpolation; Optimal control; Poles and zeros; Polynomials; State feedback; Tracking loops;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.480260
