|Title||Conic controller synthesis that minimizes an upper bound on the closed-loop H2-norm|
|Publication Type||Conference Paper|
|Year of Publication||2017|
|Authors||LJ Bridgeman, and|
|Conference Name||Proceedings of the American Control Conference|
The Conic Sector Theorem is a versatile input-output stability result that can be used to ensure closed-loop, input-output stability where better-known results, such as the Passivity and Small Gain Theorems, cannot. Moreover, conic sectors can be used to characterize a variety of input-output properties, such as gain, phase, and minimum gain. This paper proposes a linear-matrix-inequality-based approach to the synthesis of conic controllers that minimize an upper-bound on the closed-loop v-norm. This provides a valuable tool for robust and optimal control by combining the utility of conic sectors and the Conic Sector Theorem with H2-optimal control.