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 Title: A Semidefinite Programming Approach for Control of Systems Along Trajectories Author(s): Farhood, Mazen Habib Doctoral Committee Chair(s): Dullerud, Geir E. Department / Program: Mechanical Engineering Discipline: Mechanical Engineering Degree Granting Institution: University of Illinois at Urbana-Champaign Degree: Ph.D. Genre: Dissertation Subject(s): Engineering, Mechanical Abstract: The second approach amounts to parametrizing the system equations about the trajectory, resulting in a nonstationary linear parameter-varying (NLPV) model, and then constructing an NLPV synthesis. Synthesis conditions are derived for NLPV systems using an operator theoretic framework with the ℓ 2-induced norm as the performance measure. These conditions are given in terms of structured operator inequalities. In general, evaluating the validity of these conditions is an infinite dimensional convex optimization problem; however, if the initial system is eventually periodic, they reduce to a finite dimensional semidefinite programming problem. Also, we give systematic approaches for the model reduction of stable as well as stabilizable NLPV models, along with means for evaluating the error resulting from the reduction process. Issue Date: 2005 Type: Text Language: English Description: 145 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2005. URI: http://hdl.handle.net/2142/83839 Other Identifier(s): (MiAaPQ)AAI3202090 Date Available in IDEALS: 2015-09-25 Date Deposited: 2005
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