Title :
Decentralization properties of optimal distributed controllers
Author :
Paganini, Fernando ; Bamieh, Bassam
Author_Institution :
Dept. of Electr. Eng., California Univ., Santa Barbara, CA, USA
Abstract :
We consider distributed parameter systems where the underlying dynamics are spatially invariant, and where the controls and measurements are fully distributed over the spatial coordinate. For such systems and quadratic optimization criteria (LQR, ℋ2, ℋ∞) the optimal control problem can be solved by diagonalization based on Fourier analysis over the spatial domain, yielding a parameterized family of Riccati equations over spatial frequency. By applying analytic continuation methods to the Riccati equation, we provide methods to estimate the spatial decay rate of the convolution kernel for the optimal controller. In addition, quantitative measures of controller decentralization in terms of spatial moments are presented
Keywords :
Fourier analysis; H∞ optimisation; Riccati equations; decentralised control; distributed parameter systems; optimal control; analytic continuation methods; controller decentralization; convolution kernel; decentralization properties; diagonalization; optimal distributed controllers; quadratic optimization criteria; spatial decay rate; spatial moments; spatially invariant dynamics; Actuators; Control systems; Convolution; Distributed control; Frequency; Kernel; Mechanical sensors; Optimal control; Riccati equations; Sensor arrays;
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.1998.758582
