Title :
H∞ synthesis for multi-rate hybrid systems
Author :
Lall, Sanjay G. ; Dullerud, Geir E.
Author_Institution :
Control & Dynamic Syst., California Inst. of Technol., Pasadena, CA, USA
Abstract :
We present techniques for the solution of the multi-rate sampled-data H∞ synthesis problem. This makes use of the mathematical tools developed in Dullerud and Lall (1997). Necessary and sufficient conditions are given for the solution, and the problem is shown to be equivalent to a finite dimensional convex optimisation problem expressed in the form of linear matrix inequalities, for which standard numerical software is available
Keywords :
H∞ control; continuous time systems; control system synthesis; matrix algebra; optimisation; sampled data systems; H∞ synthesis; finite dimensional convex optimisation problem; linear matrix inequalities; multi-rate hybrid systems; necessary and sufficient conditions; Computational Intelligence Society; Control systems; Differential equations; Feedback loop; Hilbert space; Mathematics; Sampling methods; State-space methods;
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.1997.657065
