Stabilization of discrete-time piecewise affine systems with quantized signals
It addresses the problem of quantized control for piecewise affine systems, which is relevant for control theory but represents an incremental extension of existing methods.
This paper proposes an encoding strategy for stabilizing discrete-time piecewise affine systems with quantized signals, enabling local stability and less conservative controller design with low computational cost.
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.