Abstract
In order to assign clear physical meanings to H∞ control in its applications to civil structures under seismic loads, an energy control methodology is established in this study. With delicate definition of the regulated output vector, this H∞ control can be interpreted as limiting the ratio of the sum of system energy and control energy with respect to the external excitation energy below a constant level. This limited value of output-to-input ratio is usually denoted in the H∞ control literature by a conventional control parameter γ. Two different energy control formulations result from choosing either the strain or kinetic energy of a structure to represent the system energy with an additional energy weighting parameter. Based on the stability criterion of excluding pure imaginary or zero eigenvalues, the characteristic polynomials of the Hamiltonian matrices corresponding to both energy control laws are also explored in this paper to further derive analytical expressions for the greatest lower bound of γ that guarantees the system stability. In addition, from comparing the results for a demonstrative example, the control effectiveness of these energy control algorithms is comprehensively investigated to induce several guidelines for selecting the control parameters. Copyright © 2004 John Wiley & Sons, Ltd.
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