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Petros Voulgaris Aubrecht, Johannes Aumack Schmidt 2015-09-25T21:12:53Z 2015-09-25T21:12:53Z 10000-01-01 1997 1997 The application of this controlled invariance based solution method to linear time-invariant systems (LTI) is presented first. Also included is a discussion of a related estimation technique which utilizes a set-valued estimation approach to produce an estimate which is optimal in an $\ell\sp{\infty}$-induced norm sense. The controlled invariance based solution method is then generalized to linear periodically time varying (LPTV) systems. The resulting control law construction method can be used to produce a memoryless periodically varying nonlinear controller, which achieves near-optimal performance. The controlled invariance based solution method is also generalized to linear multirate systems (LMR) systems. As the structure of multirate systems inherently precludes access to the entire state at every time step, the aforementioned set-valued estimation technique is utilized in this solution method. It is shown that this control law construction method can be used to produce a memoryless nonlinear multirate controller, which achieves near-optimal performance. Made available in DSpace on 2015-09-25T21:12:53Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9812524.pdf: 7359426 bytes, checksum: 6d8f387efb78f8a79f674ddc2cb2967f (MD5) Previous issue date: 1997 Embargo set by: Seth Robbins for item 85234 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 146 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997. http://hdl.handle.net/2142/83953 (MiAaPQ)AAI9812524 eng Engineering, Electronics and Electrical L(1)-Optimal Control Using State Space, Controlled Invariance Based Methods text Mechanical Engineering Mechanical Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.