Journal
ASIAN JOURNAL OF CONTROL
Volume -, Issue -, Pages -Publisher
WILEY
DOI: 10.1002/asjc.3108
Keywords
internal model principle; non-uniform beams; observer-based control; output regulation; partial differential equations
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This paper proposes two observer-based control methods for regulating a variable coefficient Euler-Bernoulli beam to track prescribed references. An uncertain disturbance-free beam system is constructed and controlled through an extended observer. The theoretical results are validated with a simulation example.
For an Euler-Bernoulli beam with variable coefficients, all the disturbances and references are supposed to be from an exosystem. Two observer-based controls are proposed to regulate two non-collocated outputs to track prescribed references. First, we construct an uncertain disturbance-free beam system, which is determined by the inputs, measurable outputs, and unknown initial conditions. New exosystems are then defined to address the undetectability of the original exosystem and the uncertainties of input disturbances. We then propose two observer-based controls through an extended observer for the disturbance-free beam and the new exosystems. For the closed-loop system, the tracking errors are proved to be exponentially regulated toward zero. A simulation example is provided to describe the theoretical result.
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