Cheng, C.-F. Design of robust observation schemes for uncertain large scale systems. (English) Zbl 0892.93007 IEE Proc., Control Theory Appl. 144, No. 5, 369-374 (1997). The author presents a robust observer design for uncertain large-scale systems with nonlinear crosscouplings. Uncertainty is represented by nonlinear functions satisfying a kind of matching condition and bounded in norm by know scalar functions of output and input variables. The proposed observer is decentralized and nonlinear and takes into account functional properties of the uncertainty bounds. The gain matrices in the observer are given in terms of the solutions of constrained Riccati equations. The nonlinear crosscouplings between subsystems are decomposed into matched and mismatched parts. The mismatched part may result in an iterative search for Lyapunov functions used to design a nonlinear part of the observer. This part has a generalized sign form used (e.g. [Z. Qu, Automatica 29, 985-998 (1993; Zbl 0776.93041)], [Y. H. Chen, Int. J. Control 46, 1979-1992 (1987; Zbl 0634.93005)]) also in robust stabilization design procedures by many authors. The author proposes also a search algorithm for choosing the required parameters and proves the exponential convergence of the observation error. Moreover, new conditions the solvability of the proposed constrained Riccati equations are presented. Reviewer: A.Šwierniak (Gliwice) Cited in 4 Documents MSC: 93A15 Large-scale systems 93B07 Observability 93D30 Lyapunov and storage functions 93B35 Sensitivity (robustness) 93C10 Nonlinear systems in control theory Keywords:robust observer design; large-scale systems; matching condition; constrained Riccati equations; nonlinear crosscoupling; Lyapunov functions Citations:Zbl 0776.93041; Zbl 0634.93005 PDFBibTeX XMLCite \textit{C. F. Cheng}, IEE Proc., Control Theory Appl. 144, No. 5, 369--374 (1997; Zbl 0892.93007) Full Text: DOI