A Piecewise-Linear Switching Function For Quasi-Minimum-Time Control
Althouse, Thomas Stephenson
Kirk, Donald E.
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The design of controllers to provide quasi-minimum time-response is investigated. With the control law to be realized as a piecewise-linear combination of the instantaneous state values, the problem is to select the parameters which define the best suboptimal switching surface. A worst-case response-time performance index is defined and shown to be suitable for use in the suboptimal controller design. A proposed design technique is described and used to determine controllers for second-order systems. The results of the illustrative examples are compared with controllers designed using a least squares polynomial fitting technique. The comparison shows that the proposed method designs significantly better controllers in terms of deviation from optimal response time.
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