Near Optimal H-Infinity Performance in the Decentralized Setting

Decentralized Control;Optimal Control;H-Infinity;Electrical and Computer Engineering

RANGANATHAN, THANANJAYAN

University of Waterloo

关键词: Decentralized Control;    Optimal Control;    H-Infinity;    Electrical and Computer Engineering;   

Others  :  https://uwspace.uwaterloo.ca/bitstream/10012/9665/5/Ranganathan_Thananjayan.pdf

瑞士|英语

来源: UWSPACE Waterloo Institutional Repository

【 摘 要 】

In this thesis we consider the use of a linear periodic controller (LPC) for the control oflinear time-invariant (LTI) plants in the decentralized setting with an H-infinity performancecriterion in mind. If a plant has an unstable decentralized fixed mode (DFM), it is wellknown that no decentralized LTI controller can stabilize it, let alone provide good performance,which is why we turn to more complicated controllers. Here we show that if thegraph associated with the plant is strongly connected and certain technical conditions onthe relative degree hold, then we can design a decentralized LPC to provide a level of H-infinity performance as close as desired to the centralized H-infinity optimal performance; this will bethe case even if the plant has an unstable decentralizedfixed mode (DFM). The proposedcontroller in each channel consists of a sampler, a zero-order-hold, and a discrete-timelinear periodic compensator, which makes it easy to implement.