Stabilizability of two-dimensional linear systems via switched output feedback |
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Authors: | K.R. Santarelli A. Megretski M.A. Dahleh |
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Affiliation: | aLaboratory for Information and Decision Systems, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Rm. 32D-758, Cambridge, MA 02139, USA |
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Abstract: | The problem of stabilizing a second-order SISO LTI system of the form , y=Cx with feedback of the form u(x)=v(x)Cx is considered, where v(x) is real-valued and has domain which is all of . It is shown that, when stabilization is possible, v(x) can be chosen to take on no more than two values throughout the entire state-space (i.e., v(x){k1,k2} for all x and for some k1,k2), and an algorithm for finding a specific choice of v(x) is presented. It is also shown that the classical root locus of the corresponding transfer function C(sI-A)-1B has a strong connection to this stabilization problem, and its utility is demonstrated through examples. |
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Keywords: | Switched systems Hybrid systems Asymptotic stability Root locus Output feedback |
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