Stabilization of LTI Systems with Communication Constraints
Technical research rept.
MARYLAND UNIV COLLEGE PARK INST FOR SYSTEMS RESEARCH
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In this paper, the author has addressed the stabilization of linear, time-invariant LTI systems that are operating under limited communication. His approach is based on the use of periodic communication sequences that direct the flow of control and measurement signals from the controller to the plant across a network or communication bus. The work presented here builds on previous versions of the extensification algorithm to handle constraints affecting both control and measurements. There are several issues that present opportunities for further work related to the extensification algorithm, including methods for finding good communication sequences and cooling schedules. In addition, it would be desirable to investigate bounds for the spectral radius of the extensive form so that stopping criteria for his simulated annealing algorithm can be constructed. The author has outlined a method for combining basic feed-forward control with the extensive form. Closed-loop tracking is a logical next step that remains to be addressed. Finally, although the model for limited communication assumes timely arrival of each inputoutput sample fromto the controller, this may not be the case in many realistic situations i.e., control over the Internet. Current efforts are focused on developing models that can handle variability in the arrivals of control samples as well as lost samples that fail to arrive at their destination.
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