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SCL
2008

Stabilizability of two-dimensional linear systems via switched output feedback

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Stabilizability of two-dimensional linear systems via switched output feedback
The problem of stabilizing a second-order SISO LTI system of the form x = Ax + Bu, 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 R2. 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.
Keith R. Santarelli, Alexandre Megretski, Munther
Added 14 Dec 2010
Updated 14 Dec 2010
Type Journal
Year 2008
Where SCL
Authors Keith R. Santarelli, Alexandre Megretski, Munther A. Dahleh
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