The Effect of Approximating Distributed Delay Control Laws on Stability

Summary. An overview of stability results on the implementation of distributed delay control laws, arising in the context of finite spectrum assignment, is given. Firstlhe case where dis­ tributed delays are approximated with a finite sum of poilJl -wise delays is cons idered. The instability mechanism is brieny discu ssed and conditions for a safe implementati on are pre­ sented. Secondly modifications of the control law to remove the limitations, imposed by these conditions, are outlined. Throughout the chapter eigenvalu e plots are used to provide an intui­ tive exp lanation for the phenomena and results.

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