Steady-state moment assignment for linear systems is achieved by decomposing the closed-loop moment and solving a Sylvester equation for the compensator rather than regulator equations.
Model reduction by moment matching for linear and nonlinear systems
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Invariance equation methods solve bounded output discrepancy and m-relation requirements for approximate hierarchical control of nonlinear systems, with solvability conditions and a DC-DC converter example.
Nonlinear systems under periodic excitation have a frequency response defined via phasor form with gain, phase, and distortion functions, enabling nonlinear Bode plots for performance analysis.
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Steady-state response assignment for a given disturbance and reference: Sylvester equation rather than regulator equations
Steady-state moment assignment for linear systems is achieved by decomposing the closed-loop moment and solving a Sylvester equation for the compensator rather than regulator equations.
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Approximate Simulation-based Hierarchical Control of Nonlinear Systems
Invariance equation methods solve bounded output discrepancy and m-relation requirements for approximate hierarchical control of nonlinear systems, with solvability conditions and a DC-DC converter example.
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Frequency Response of Nonlinear Systems: Notions, Analysis, and Graphical Representation
Nonlinear systems under periodic excitation have a frequency response defined via phasor form with gain, phase, and distortion functions, enabling nonlinear Bode plots for performance analysis.