An LMI approach toH∞-control of time-delay systems for the benchmark problem

✍ Scribed by Mahmoud, Magdi S.; Terro, Mohamad J.; Abdel-Rohman, Mohamed

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 364 KB
• Volume: 27
• Category: Article
• ISSN: 0098-8847
• DOI: 10.1002/(sici)1096-9845(199809)27:9<957::aid-eqe768>3.0.co;2-s

✦ Synopsis

In this paper, three H -control design methods are developed and applied to a three-storey building with an active mass damper as a control mechanism. The system of equations of the structural system, including the actuator and sensors, has been developed directly from experimentally derived data which forms the basis of the benchmark study discussed in this paper. The building plus the damper are modelled as a nominally linear system with input as well as state delays. Feedback control synthesis are first performed by using either of the two forms; the first is a pure state feedback and the other is a static output feedback. The analytical results are cast into a Linear Matrix Inequality (LMI) framework which can be solved numerically by efficient interior-point methods. The developed system is subjected to two historical earthquake excitation inputs (ElCentro and Hachinohe) and to the Kanai-Tajimi filter. The response is given in the form of indices in order to compare with other solutions of the benchmark problem. In addition, simulation results pertinent to the developed techniques are presented.