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The hysteretic quantized input is implemented to avoid the oscillation caused by logarithmic quantizer and decomposed into two bounded nonlinear functions.
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Given a measure of quantization coarseness, a mode-dependent logarithmic quantizer and a mode-dependent linear state feedback law can achieve optimal coarseness for mean square quadratic stabilization of a Markov jump linear system, similar to existing results for linear time-invariant systems.
In this paper,we propose a new simple yet effective adaptive tracking control scheme for uncertain strict-feedback nonlinear systems whose input is quantized by a class of sector-bounded quantizers including the well-known logarithmic quantizer and the extended hysteresis quantizer.
Existing types of quantizer include logarithmic quantizer and uniform quantizer.
Both the logarithmic quantizers and uniform quantizers are considered.
Both logarithmic quantizers and improved hysteretic quantizers are studied, and a linear time-varying model is introduced to handle the difficulty caused by quantization.
[11] showed that a finite-level logarithmic quantizer suffices to approach the well-known minimum average data rate for stabilizing an unstable linear discrete-time system under two basic network configurations, and explicit finite-level logarithmic quantizers and the corresponding controllers to approach the minimum average data rate are derived.
A sector bound approach is proposed in [6] to characterize the quantization error caused by a logarithmic quantizer, by which many quantized problem can be solved by the robust tools.
The measurement signal is quantized by a logarithmic quantizer.
The transmitted measurements triggered according to prespecified events are quantized by a logarithmic quantizer.
The system measurement outputs are quantized by a memoryless logarithmic quantizer before being transmitted to the filter and the performance of packet dropouts is described by Bernoulli random binary distribution.
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