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IMA Journal of Mathematical Control and Information 1997 14(4):333-351; doi:10.1093/imamci/14.4.333
© 1997 by Institute of Mathematics and its Applications
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Stability of discrete nonlinear control systems

GILA E. FRUCHTER, URI SREBRO and EZRA ZEHEB

Faculty of Industrial Engineering and Management, Technion-Israel Institute of Technology Haifa 32000, Israel
Department of Mathematics, Technion-Israel Institute of Technology Haifa 32000, Israel
Department of Electrical Engineering, Technion-Israel Institute of Technology Haifa 32000, Israel

The paper considers multiple-input multiple-output discrete systems with nonlinearities confined to sectors and with linear parts having parameter uncertainties. A recently dervied mathematical tool, the determination of zero-sets location, is used to obtain the complete feasible set of sectors of the nonlinearities which maintain robust absolute stability, according to Tsypkin's criterion. Moreover, for flexibility of design, this set is influenced and controlled by an internal feedback loop. This feedback loop may also serve as a stabilizer of the linear part, if necessary . A numerical example is provided.


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