Abstract
The problem of designing a stabilizing compensator for a control system to achieve prescribed initial value constraintsυ (i)(0+)=yi is considered. Indeed, modulo certain technical conditions, such a compensator exists if and only if yi=0;i= 0,1,...,r〈p〉 +r〈t〉 −2; wherer〈p〉 is the relative degree of the plant andr〈t〉 is the relative degree of the system input. This theorem is derived and a complete parameterization of the set of compensators that achieve the prescribed design constraints is formulated.
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This research was supported in part by NSF Grant No. 921106.
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Warden, P.J., Saeks, R. On the design of feedback controllers to achieve prescribed initial value constraints. Circuits Systems and Signal Process 14, 167–185 (1995). https://doi.org/10.1007/BF01183833
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DOI: https://doi.org/10.1007/BF01183833