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Input-output finite-time stabilisation of a class of hybrid systems via static output feedback. (English) Zbl 1245.93119

Summary: This article extends the concept of Input–Output Finite Time Stability (IO–FTS) to a class of hybrid systems, namely impulsive dynamical linear systems, which are systems that exhibit jumps in the state trajectory. Sufficient conditions are given for the analysis of IO–FTS and for the design of both static output and state feedback controllers, guaranteeing IO–FTS of the closed loop system. In the general case, the presented results require to solve feasibility problems involving either linear matrix inequalities or Bilinear Matrix Inequalities (BMIs), which can be solved numerically in an efficient way by using off-the-shelf optimization tools, as illustrated by the proposed examples.

MSC:

93D21 Adaptive or robust stabilization
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93B52 Feedback control

Software:

PENBMI; LMI toolbox
PDFBibTeX XMLCite
Full Text: DOI

References:

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