Fundamental Limitations in Filtering Control
Fundamental Limitations in Filtering Control
Control System Design
Feedback Control Theory
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This paper has investigated optimal tracking performance for unstable processes with non-minimum phase (NMP) under control energy constraint. Firstly, based on prime factorization of unstable process, a performance index containing tracking error and plant input energy is defined, which is represented by sensitivity function and control sensitivity function. Then, utilizing spectral factorization to minimize the performance criterion, we derive an optimal controller design method for unstable processes and furthermore study the optimal tracking performance under control energy constraint. The validity of the obtained result can be illustrated by the simulation research.