Simultaneous pole-placement/stabilization of pairs of linear time-invariant plants using a continuous-time periodic controller |
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Authors: | Jayati DEY and Sarit K. DAS |
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Affiliation: | 1. Department of Electrical Engineering, National Institute of Technology, Durgapur, India 713209; 2. Department of Electrical Engineering, Indian Institute of Technology, Kharagpur, India 721302 |
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Abstract: | Given a pair of single input single output (SISO), linear time-invariant (LTI), and strictly proper plants of relative order r, this paper employs a continuous-time periodic controller to achieve 1) simultaneous pole-placement for r = 1 and 2) guaranteed simultaneous stabilization for r = 2; 3, and 4, which jobs LTI controllers cannot, in general, do. The controller also ensures insignificant output ripples. The analysis is based on averaging principle. The computational steps for controller synthesis are linear algebraic in nature. An example illustrates the design procedure. |
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Keywords: | Periodic controller Simultaneous pole-placement/stabilization |
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