Control of linear parameter varying systems with by Jeff S. Shamma (auth.), Javad Mohammadpour, Carsten W.

By Jeff S. Shamma (auth.), Javad Mohammadpour, Carsten W. Scherer (eds.)

Keep an eye on of Linear Parameter various platforms compiles state of the art contributions on novel analytical and computational tools for addressing procedure identity, version relief, functionality research and suggestions keep watch over layout and addresses handle theoretical advancements, novel computational techniques and illustrative functions to numerous fields.

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89]). Nonetheless, it should be noted that despite this appeal, the resulting (off-line) computations can be intensive for higher dimensional systems. 4 Final Remarks This chapter has presented a brief overview of LPV systems, from their origins to a sampling of various approaches for analysis and control design. , the forthcoming collection [67]). To conclude, it is very exciting9 to see the widespread adoption of the LPV paradigm since its introduction in 1988, as well as the continued interest reflected by short courses [71], special journal issues [50], and this (and future) monographs.

Osaka Math J 12:305–317 54. Mehendale C, Fialho I, Grigoriadis K (2009) A linear parameter-varying framework for adaptive active microgravity isolation. J Vib Contr 15:773–800 55. Merc`ere G, Palsson H, Poinot T (2011) Continuous-time linear parameter-varying identification of a cross flow heat exchanger: a local approach. IEEE Trans Contr Syst Technol 19(1):64–76 56. Molchanov A, Pyatnitskii E (1986a) Lyapunov functions that specify necessary and sufficient conditions of absolute stability of nonlinear nonstationary control systems I.

27), this selection problem translates to a search for nb ,nβ a ,nα a set of functions {αi,l }ni−1,l=1 and {β j,l } j=0,l=1 such that the true p-dependent coefficients aoi and boj , associated with the IO representation of the underlaying n β α system, satisfy aoi ∈ Span({αi,l }nl=0 ) and boj ∈ Span({β j,l }l=0 ). In case of a blackbox scenario, the choice of these functions can be arbitrary. One can consider all αi,l and β j,l to be rational functions or polynomials with a fixed degree and a fixed order of dynamic dependence.

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