Title :
Convex ℒ2 synthesis for multidimensional systems
Author :
D´Andrea, Raffaello ; Dullerund, G.E. ; Lall, Sanjay
Author_Institution :
Cornell Univ., Ithaca, NY, USA
Abstract :
Deals with the design of control systems for multidimensional systems in the Roesser state space format with an L2 induced gain performance criterion. The region of analyticity of the closed loop system can be pre-specified, corresponding to the relaxation of the standard causality requirement (or equivalently, stability requirement) found in ℋ∞ optimization. These techniques may be used for designing spatially distributed controllers for spatially distributed systems. The main technical contribution of the paper is the extension of the synthesis results of Packard (1994) and of Apkarian and Gahinet (1995) to non-definite scalings. The solution to the problem takes the form of a linear matrix inequality
Keywords :
closed loop systems; control system analysis; control system synthesis; distributed parameter systems; matrix algebra; multidimensional systems; optimal control; state-space methods; ℒ2 induced gain performance criterion; Roesser state space format; causality requirement; convex ℒ2 synthesis; linear matrix inequality; multidimensional systems; region of analyticity; spatially distributed controllers; spatially distributed systems; stability requirement; Actuators; Control system synthesis; Control systems; Linear matrix inequalities; Mechanical sensors; Multidimensional systems; Optimal control; Sensor systems; Signal synthesis; Unmanned aerial vehicles;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.758583
