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ON THE FEEDBACK CONTROL OF THE WAVE EQUATION

✍ Scribed by H. ALLI; T. SINGH

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
324 KB
Volume
234
Category
Article
ISSN
0022-460X

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✦ Synopsis

This paper addresses the problem of design of collocated and non-collocated controllers for a uniform bar without structural damping. The bar whose dynamics are described by the wave equation is required to perform a rest-to-rest maneuver. A time delay controller whose gains are determined using the root-locus technique is used to control the non-collocated system. The e!ect of sensor locations on the stability of the system is investigated when the actuator is located at the one end of the bar. The critical gains which correspond to a pair of poles entering the right-half of the s-plane and the optimal gains corresponding to locating the closed-loop poles at the left extreme of the root-locus for each vibration mode are determined. The gain which minimizes a quadratic cost, in the range of the critical gains, is selected as the optimum gain.

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