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Sliding-mode control design for a complex valued sliding manifold
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DOI：10.1109/TAC.2002.806664.png)
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Abstract
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This note gives precise conditions for the existence of a state feedback sliding-mode controller to achieve a complex, closed-loop eigen-structure. This structure can be advantageous in providing maximum flexibility in specifying closed-loop dynamics. It is found that the controller is inherently dynamic in general, and recovers standard sliding-mode control results when all real elements are chosen for the switching surface matrix. A control design algorithm is presented, and robustness of the resulting closed-loop system is demonstrated. An illustrative example is provided.
Keywords:
robust control
sliding-mode control (SLMC)
variable structure systems
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