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326-330, 1995. [35] Tao, G. and P. V. Kokotovic, “Adaptive control of plants with unknown output dead-zones,” Automatica, vol. 31, no. 2, pp. 287-291, 1995. [36] Vaughan, N. D. and J. B. Gamble, “The modeling and simulation of a proportional solenoid valve,” the ASME Winter Annual Meeting, Dallas, TX, November 1990. [37] Urs Cristen, Martin F. Weilenmann, and Hans P. Geering, “Design of H2 and H_infinity Controllers with Two Degrees of Freedom,” Proceedings of American Control Conference, pp. 2391-2395, Baltimore, MD, June 29- July 1, 1994.

The methods developed under this concept are based on three main forms of nonlinearities characterized as the dead-zone, backlash, and the hysteresis that might be present at the input or/and the output of a linear part of a plant. More complex forms of nonlinearities can be possibly characterized as a combination of these elementary forms of imperfections. The presence of such nonlinearities influences the performance by affecting static accuracy of the control systems. When using linear controllers with plants having input or output nonlinearites of these types, static accuracy will be limited by the width of the dead-zone, backlash, or hysteresis.

In these cases, fixe d or adaptive linear controller structure can be used to achieve output tracking to a given reference signal. In the other two cases the compensation scheme uses a detuned inverse, whose parameters are fixed estimates of the unknown exact inverse parameter and a fixed or adaptive linear controller structure can be used. Such compensation scheme ensures closed-loop signal boundedness if the inverse slope parameter errors are small. 3c. The underlying Control problem Although this report is devoted in the most part to the concept of adaptive inverse control as a technique to cancel nonlinear imperfections for sensors and actuators, the ultimate objective is to address the technical issues confronting control engineers in designing a robust control system for a plant with sensor and actuator nonlinearities.

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Advanced Control Tools and Methods [for nuclear powerplants]


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