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— This paper proposes an LMI approach to the robust order reduction problem. The technique can be applied for quadratically stable linear systems with polytopic uncertainties. Bounds on the magnitude of the model approximation error are characterized in terms of both the H 2 and H ∞ norms. Numerical examples are used to show the potential of the proposed(More)
Linear systems with bounded inputs: Global stabilization with eigenvalue placement, " Int. J. [5] A. R. Teel, " Linear systems with input nonlinearities: Global stabilization by scheduling a family of H-type controllers, " Int. A new method of controller design for systems with input constraints using interpolation functions, " in Proc. 33rd Conf.(More)
This paper deals with the linear H ∞ filtering problem for a class of regionally stable uncertain nonlinear systems subject to bounded disturbances and measurement noises. The nonlinear systems is represented by differential-algebraic equations where the system matrices are allowed to be rational functions of the state and uncertain parameters. For this(More)
SUMMARY This paper proposes a convex approach to regional stability and L 2-gain analysis and control synthesis for a class of nonlinear systems subject to bounded disturbance signals, where the system matrices are allowed to be rational functions of the state and uncertain parameters. To derive sufficient conditions for analysing input-to-output(More)