Tools for analysis and controller design for nonlinear systems with disturbances

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Tools for analysis and controller design for nonlinear systems with disturbances. Control engineers often need to deal with nonlinear systems with disturbances (NSD). Analysis and controller design for NSD requires the use of a range of different tools including singular perturbations, averaging, slowly varying systems methods and large scale systems methods. However, often these tools are inadequate as they are only applicable to systems without disturbances. We propose to extend these tools to NSD and apply them to a range of problems arising in analysis and controller design for NSD. These applications include vibrational control, gain scheduling, H-infinity control and adaptive control.