H∞control for nonlinear affine systems: a chain‐scattering matrix description approach
Copyright policy )H∞control for nonlinear affine systems: a chain‐scattering matrix description approach
AbstractThis paper combines an alternative chain‐scattering matrix description with (J,J′)‐lossless and a class of conjugate (−J, −J′)‐lossless systems to design a family of nonlinearH∞output feedback controllers. The present systems introduce a new chain‐scattering setting, which not only offers a clearer expression for the solving process of the nonlinearH∞control problem but also removes the fictitious signals introduced by the traditional chain‐scattering approach. The intricate nonlinear affine control problem thus can be transformed into a simple lossless network and is easy to deal with in a network‐theory context. The relationship among these (J,J′) systems,L2‐gain, and Hamilton–Jacobi equations is also given. Block diagrams are used to illustrate the central theme. Copyright © 2001 John Wiley & Sons, Ltd.
state-space method, \((J,J')\)-lossless system, conjugate \((-J,-J')\)-lossless systems, \(H^\infty\) output feedback, \(H^\infty\)-control, \(L_2\)-gains, Nonlinear systems in control theory, chain-scattering matrix description, nonlinear systems, Hamilton-Jacobi equations
state-space method, \((J,J')\)-lossless system, conjugate \((-J,-J')\)-lossless systems, \(H^\infty\) output feedback, \(H^\infty\)-control, \(L_2\)-gains, Nonlinear systems in control theory, chain-scattering matrix description, nonlinear systems, Hamilton-Jacobi equations
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