Summary

International Symposium on Nonlinear Theory and its Applications

2008

Session Number:A1L-D

Session:

Number:A1L-D1

Minimization of l?-Sensitivity for State-Estimate Feedback Controllers Subject to l?-Scaling Constraints Using Quasi-Newton Method

Takao Hinamoto,  Takuro Kawagoe,  

pp.-

Publication Date:2008/9/7

Online ISSN:2188-5079

DOI:10.34385/proc.42.A1L-D1

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Summary:
The l?-sensitivity of a closed-loop transfer function with respect to coefficients of a state-estimate feedback controller is analyzed, and the problem of minimizing an l? -sensitivity measure subject to l? -scaling constraints is formulated. Next, the constraint optimization problem is converted into an unconstrained optimization formulation by using linear-algebraic techniques, and an efficient quasi-Newton method is applied to solve the unconstrained optimization problem. Finally, a numerical example is presented to illustrate the utility of the proposed technique.