Name
Abstract | ||
|---|---|---|
This paper investigates the problem of synthesizing the optimal structure of a state-estimate feedback controller with minimum l 2-sensitivity and no overflow. First, the l 2-sensitivity of a closed-loop transfer function with respect to the coefficients of a state-estimate feedback controller is analyzed. Next, two iterative techniques for obtaining the coordinate transformation matrix which constructs the optimal structure of a state-estimate feedback controller are developed so as to minimize an l 2-sensitivity measure subject to l 2-scaling constraints. One technique is based on a Lagrange function, some matrix-theoretic techniques, and an efficient bisection method. Another technique converts the problem into an unconstrained optimization formulation by using linear-algebraic techniques, and optimizes it by applying an efficient quasi-Newton method with closed-form formula for gradient evaluation. A numerical example is also presented to illustrate the utility of the proposed techniques. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1109/TCSI.2008.920126 | Circuits and Systems I: Regular Papers, IEEE Transactions |
Keywords | DocType | Volume |
closed loop systems,controllers,bisection method,closed-loop transfer function,coordinate transformation matrix,state-estimate feedback controllers,$l_{2}$-scaling constraints,$l_{2}$-sensitivity minimization,Bisection method,Lagrange function,bisection method,closed-loop control systems,l2-scaling constraints,l2-sensitivity minimization,no overflow,quasi-Newton method,state-estimate feedback controllers | Journal | 55 |
Issue | ISSN | Citations |
8 | 1549-8328 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hinamoto, T. | 1 | 14 | 2.33 |
| Kawagoe, T. | 2 | 0 | 0.34 |