Sihan Xiong
ABSTRACT
A symbolic abstraction method is used to synthesize stabilizing state-feedback controllers for piecewise affine plants. An increasing sequence of symbolic models of the piecewise affine plant and the corresponding sequence of convex synthesis conditions are obtained in the order of decreasing conservatism. Whenever one of these conditions is feasible, synthesis of a stabilizing piecewise affine controller is guaranteed. At least in principle, the synthesis conditions are capable of identifying the largest stabilizable region, and hence they do not suffer from inherent conservatism.
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Index Terms
- State-feedback stabilization of discrete-time piecewise affine systems
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