Title :
Q-domain four-blocks l1-optimal control design for SISO plants
Author :
Casavola, A. ; Famularo, D.
Author_Institution :
Dipt. di Elettronica, Informatica e Sistemistica, Universita della Calabria, Italy
Abstract :
The multiblock l1-optimal control problem for single-input single-output (SISO) plants is considered. It is shown that it can be converted via polynomial equation techniques to an infinite-dimensional linear programming (LP) problem. Finite dimensional sub/super approximations can be determined by considering two sequences of modified finite-dimensional linear programming problems derived directly from the YJBK parameterisation by exploiting the underlying algebraic structure. This approach induces the application of a consistent truncation strategy that leads to a redundancy-free constraint formulation and, as a consequence, to linear programming problems less affected by degeneracy. Further, more insight on the algebraic structure of the problem and on the achievement of exact rational solutions is provided, allowing the development of a simple and conceptually attractive theory.
Keywords :
control system synthesis; linear programming; optimal control; polynomials; Q-domain four-blocks l1-optimal control design; SISO plants; YJBK parameterisation; algebraic structure; consistent truncation strategy; exact rational solutions; finite dimensional sub/super approximations; infinite-dimensional LP problem; infinite-dimensional linear programming problem; modified finite-dimensional linear programming problem sequences; multiblock l1-optimal control; polynomial equation techniques; redundancy-free constraint formulation;
Journal_Title :
Control Theory and Applications, IEE Proceedings -
DOI :
10.1049/ip-cta:20030141