Abstract
A number of industrial systems and consumer products currently in use are characterized by the actuator nonidealities, such as backlash, dead zone, and others, adversely affecting system performance. Consistently addressing these nonsmooth nonidealities, while also providing robust performance, has been a longstanding problem in the control of these plants. In this chapter, this problem is addressed through the nonsmooth \(\mathcal{H}_{\infty }\)-output controller design, which takes into account the dead zone in the transmitted actuator signal. The nonsmooth \(\mathcal{H}_{\infty }\)-output regulator is first developed for a servomechanism, driven by DC motor, where backlash effects occur in the servomechanism itself, and then it is applied to the experimentally obtained boiler/turbine model with actuator dead zone. The simulation results showing a considerable performance improvement are given.
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References
Aguilar, L., Orlov, Y., Merzouki, R., Cadiou, J.: Nonlinear \(\mathcal{H}_{\infty }\)-output regulation of a multi-stable drive system with backlash using its single-stability approximation. In: American Control Conference ACC’07, New York, pp. 4709–4714 (2007)
Aguilar, L., Orlov, Y., Merzouki, R., Cadiou, J.: Nonlinear \(\mathcal{H}_{\infty }\) output regulation of a nonminimum phase servomechanism with backlash. ASME J. Dyn. Syst. Meas. Control 129(4), 544–549 (2007)
Bentsman, J., Orlov, Y., Aguilar, L.: Nonsmooth \(\mathcal{H}_{\infty }\) output regulation with application to a coal-fired boiler/turbine unit with actuator deadzone. In: American Control Conference ACC’13, Washington, pp. 3900–3905 (2013)
Bentsman, J., Zheng, K., Taft, C.: Advanced boiler/turbine control and its benchmarking in a coal-fired power plant. In: 14th Annual Joint ISA POWID/EPRI Controls and Instrumentation Conference. ISA, Research Triangle Park (2004)
Kelly, R., Llamas, J., Campa, R.: A measurement procedure for viscous and Coulomb friction. IEEE Trans. Instrum. Meas. 49, 857–861 (2000)
Lagerberg, A., Egardt, B.: Estimation of backlash with application to automotive powertrains. In: Proceedings of the 42nd Conference on Decision and Control, Maui, pp. 4521–4526 (2003)
Merzouki, R., Cadiou, J.: Compensation of friction and backlash effects in an electrical actuator. J. Syst. Control Eng. 218, 75–84 (2004)
Nordin, M., Bodin, P., Gutman, P.: New models and identification methods for backlash and gear play. In: Tao, G., Lewis, F.L. (eds.) Adaptive Control of Nonsmooth Dynamic Systems, pp. 1–30. Springer, London (2001)
Zheng, K., Bentsman, J., Taft, C.W.: Full operating range robust hybrid control of a coal-fired boiler/turbine unit. ASME J. Dyn. Syst. Meas. Control 130(4), 041011-1–041011-14 (2008)
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Orlov, Y.V., Aguilar, L.T. (2014). Nonsmooth \(\mathcal{H}_{\infty }\) Synthesis in the Presence of Backlash. In: Advanced H∞ Control. Systems & Control: Foundations & Applications. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4939-0292-7_9
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DOI: https://doi.org/10.1007/978-1-4939-0292-7_9
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