Design of H-infinity Feedback Control Systems with Quantized Signals
| Authors: | Zhai Guisheng, Osaka Prefecture University, Japan
Mi Yanchun, Wakayama University, Japan
Imae Joe, Osaka Prefecture University, Japan
Kobayashi Tomoaki, Osaka Prefecture University, Japan |
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| Topic: | 2.1 Control Design |
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| Session: | Advances in Hinf Control Theory and Applications |
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| Keywords: | H-infinity control, quantization, quantizer, Riccati equation, state feedback, output feedback |
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Abstract
In this paper, we consider design of H-infinity feedback control systems with quantized signals. We first assume that a state feedback has been designed for a continuous-time LTI system so that the closed-loop system is (Hurwitz) stable and a desired H-infinity disturbance attenuation level is achieved, and that the states are quantized before they are passed to the controller. We propose a state-dependent strategy for updating the quantizer's parameter, so that the system is asymptotically stable and achieves the same H-infinity disturbance attenuation level. We then extend the result to the case of observer-based dynamic output feedback where the measurement outputs are quantized, and propose an output-dependent strategy for updating the quantizer's parameter.
