Title :
A full block S-procedure with applications
Author :
Scherer, Carsten W.
Author_Institution :
Dept. of Mech. Eng. & Control Group, Delft Univ. of Technol., Netherlands
Abstract :
We provide a general result that allows us to equivalently translate robust performance analysis specifications characterized through a single quadratic Lyapunov function into the corresponding analysis test with multipliers. As an illustration we apply the technique to robust quadratic and robust generalized H2 performance, and we comment on the wide range of its applicability. Finally, we reveal how this technique allows us to approach LPV (linear parameter varying) problems in which the control input and measurement output matrix are parameter dependent. The latter is made possible by letting the parameter enter the LPV controller via a kernel representation that generalizes the more conventional LFT structure
Keywords :
Lyapunov matrix equations; control system synthesis; linear systems; matrix algebra; robust control; control input matrix; full block S-procedure; kernel representation; measurement output matrix; quadratic Lyapunov function; robust generalized H2 performance; robust performance analysis specifications; robust quadratic generalized H2 performance; Control systems; Kernel; Lyapunov method; Mechanical engineering; Performance analysis; Robust stability; Robustness; Terminology; Testing; Uncertainty;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657769
