NEHRP Clearinghouse

Optimal Polynomial Control of Linear and Nonlinear Structures.
Agrawal, A. K.; Yang, J. N.
National Science Foundation, Arlington, VA.; New York State Science and Technology Foundation, Albany., December 11, 1995, 106 p.
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The work presented in this report represents one part of the active control implementation project focusing on the development of more efficient control algorithms. Since peak response is closely related to structural safety, considered in this report are full-state optimal polynomial controllers and the corresponding static output polynomial controllers for limiting the peak response of linear and nonlinear civil engineering structures. For linear structures, simulation results demonstrate that the output polynomial control has several advantages over the corresponding linear controller. For control of nonlinear or hysteretic structures, simulation results indicate that the most significant advantage of the static output polynomial controller over the corresponding linear controller is its load-adaptive capability to limit selected peak response quantities of the structure, when the magnitude of the earthquake exceeds its design limit.
; Seismic waves; Seismic isolation; Polynomials; Dynamic response; Buildings; Earthquake engineering; Active control; Structural dynamics; Hysteresis; Linear systems; Structural response; Nonlinear systems; Optimal control; Control systems; Vibration isolators