Abstract
It is known that both the H2 and the H*infin; optimization problems for dead-time systems are solved by controllers having the so-called modified Smith predictor (dead-time compensator) structure. The purpose of this note is to show that this is also true for the L1 control problem. More precisely, it is shown that the use of the modified Smith predictor enables one to reduce the standard L1 problem for systems with a single loop delay to an equivalent delay-free problem. The optimal solution therefore always contains the modified Smith predictor.
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