Mathematical Control Theory

Optimization of nonlinear cascade systems in lurie form with bounded external disturbances

E. V. Usik

Saint-Petersburg State University

Abstract: We consider nonlinear cascade systems in Lurie form with bounded disturbances and solve the optimal control problem using the method of invariant ellipsoids. The obtained result is compared with the previously obtained classic result based on Lyapunov function.

Keywords: passification, backstepping, LMI, method of invariant ellipsoids.

UDC: 62-50
BBK: 78.34

 English version: Automation and Remote Control, 2017, 78:7, 1350–1359

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