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A cone complementarity linearization algorithm for static output-feedback and related problems
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DOI：10.1109/9.618250.png)
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This paper describes a linear matrix inequality (LMI)-based algorithm for the static and reduced-order output-feedback synthesis problems of nth-order linear time-invariant (LTI) systems with n(u) (respectively, n(y)) independent inputs (respectively, outputs), The algorithm is based on a ''cone complementarity'' formulation of the problem and is guaranteed to produce a stabilizing controller of order m less than or equal to n - max(n(u), n(y)), matching a generic stabilizability result of Davison and Chatterjee [7], Extensive numerical experiments indicate that the algorithm finds a controller with order less than or equal to that predicted by Kimura's generic stabilizability result (m less than or equal to n-n(u)-n(y)+1). A similar algorithm can be applied to a variety of control problems, including robust control synthesis.
Keyword:
complementarity problem
linear matrix inequality
reduced-order stabilization
static output feedback
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7
论文数:
1.3W
被引数:
6.7W
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