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Medanic, Juraj V. Diong, Billy Ming 2011-05-07T12:12:51Z 2011-05-07T12:12:51Z 10000-01-01 1992 This thesis considers the problem of guaranteeing robust stability as well as performance for plants that can be modelled as linear systems which are perturbed by nonmatching disturbances and parametric uncertainties. The use of simplex-type variable structure controllers (simplex controllers) is analyzed and results are given for both the state feedback and dynamic output feedback cases. In both of these cases, it is shown that the sliding mode dynamics associated with the variable structure control system (VSCS) can be completely parameterized in terms of a free parameter matrix. Having reduced the problem to one of selecting the free matrix, we show that this is actually equivalent to the problem of designing either an ${\cal H}\sb\infty$-norm bounding state feedback control or an ${\cal H}\sb\infty$-norm bounding output feedback control for a linear system. Design procedures are given, and it is shown how a reduced-order (less than the order of the plant) simplex controller can be designed to guarantee robust stability as well as a certain level of disturbance attenuation for the system in the sliding mode. Made available in DSpace on 2011-05-07T12:12:51Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9305507.pdf: 4160395 bytes, checksum: 04ed3dd341a95a19dd61445c734e8c77 (MD5) Previous issue date: 1992 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:38:11Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:15:52-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission ETDs are only available to UIUC Users without author permission U of I Only AAI9305507 (UMI)AAI9305507 http://hdl.handle.net/2142/19607 eng Copyright 1992 Diong, Billy Ming Engineering, Electronics and Electrical Engineering, System Science Simplex-type variable structure controllers for stability and performance text Department of Electrical and Computer Engineering Electrical Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.