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| Abstract: |
| In this paper, the problem of designing robust H infinity output feedback controller and l2 gain controller are investigated for a class of discrete time singular piecewise affine systems with input saturation and state constraints. Based on a singular piecewise Lyapunov function combined with S procedure and some matrix inequality convexifying techniques, the H infinity stabilization condition is established and the l2 gain controller is investigated, and meanwhile, the input saturation disturbance tolerance condition is proposed. Under energy bounded disturbance, the domain of attraction is well estimated and the l2 gain controller is designed in some restricted region. It is shown that the controller gains can be obtained by solving a family of LMIs parameterized by one or two scalar variables. Meanwhile, by using the corresponding optimization methods, the domain of attraction and the disturbance tolerance level is maximized, and the H infinity performance γ is minimized. Finally, numerical examples are given to illustrate the effectiveness of the proposed design methods. |
| Key words: singular piecewise affine systems input and state constraints output feedback control LMIs singular piecewise Lyapunov function |
| DOI：10.11916/j.issn.1005-9113.2015.01.007 |
| Clc Number:TP273 |
| Fund: |
