Stabilization of discrete-time piecewise affine systems with quantized signals

Masashi Wakaiki; Yutaka Yamamoto

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arXiv · 1508.04405

Stabilization of discrete-time piecewise affine systems with quantized signals

Masashi Wakaiki·Yutaka Yamamoto

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Abstract

This paper studies quantized control for discrete-time piecewise affine systems. For given stabilizing feedback controllers, we propose an encoding strategy for local stability. If the quantized state is near the boundaries of quantization regions, then the controller can recompute a better quantization value. For the design of quantized feedback controllers, we also consider the stabilization of piecewise affine systems with bounded disturbances. In order to derive a less conservative design method with low computational cost, we investigate a region to which the state belong in the next step.

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Masashi Wakaiki, Yutaka Yamamoto. 2015-08-18. Stabilization of discrete-time piecewise affine systems with quantized signals. https://arxiv.org/abs/1508.04405

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