Stabilization of discrete-time piecewise affine systems with quantized signals

2015/08/18 by Masashi Wakaiki, Yutaka Yamamoto, Wakaiki, Masashi +1
Engineering · #Advanced Control Systems Optimization #FOS: Electrical engineering #Stability and Control of Uncertain Systems #Stability and Controllability of Differential Equations #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1508.04405

openalex publication_date 2015/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Quantized Output Feedback Stabilization of Switched Linear Systems
• Hybrid feedback stabilization of systems with quantized signals
• Quantized Feedback Stabilization of Sampled-Data Switched Linear Systems

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