Schlacher, Kurt; Kugi, Andreas Automatic control of mechatronic systems. (English) Zbl 0976.93062 Int. J. Appl. Math. Comput. Sci. 11, No. 1, 131-164 (2001). This contribution deals with different concepts of nonlinear control for mechatronic systems. Since most physical systems are nonlinear in nature, it is quite obvious that an improvement in the performance of the closed loop can often be achieved only by means of control techniques that take the essential nonlinearities into consideration. Nevertheless, it can be observed that industry often hesitates to implement these nonlinear controllers, despite all advantages existing from the theoretical point of view. On the basis of different applications (a PWM-controlled dc-to-dc converter namely the Čuk-converter, the problem of hydraulic gap control in steel rolling, and the design of smart structures with piezoelectric sensor and actuator layers), the author will demonstrate how one can overcome problems by exploiting the physical structure of the mathematical models of the considered plants. Reviewer: Ladislav Prášek (Plzeň) Cited in 3 Documents MSC: 93C95 Application models in control theory 93C10 Nonlinear systems in control theory 93A30 Mathematical modelling of systems (MSC2010) Keywords:differential geometry; nonlinear \(H_\infty\)-control; passivity; input-output linearization; nonlinear control; mechatronic systems; applications; physical structure; mathematical models PDFBibTeX XMLCite \textit{K. Schlacher} and \textit{A. Kugi}, Int. J. Appl. Math. Comput. Sci. 11, No. 1, 131--164 (2001; Zbl 0976.93062) Full Text: EuDML