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Optimum Sampled-Data Systems with Quantized Control Signals

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TLDR
In this paper, the optimal design of sampleddata systems with quantized control signals is considered and a design compromise between the extremes of proportional control systems and relay control systems is achieved.
Abstract
Optimum design of sampleddata systems with quantized control signals is considered. The control signals m i (k) are members of a set [- CL , ... - C2 , - C1 , 0, C 1 , C 2 , ... C L ] where c i ≫ 0, i= 1, 2,... L, and C k ≫C j for k≫j. By selecting a proper set [c i ], a design compromise between the extremes of proportional control systems and relay control systems is achieved. Dynamic programming techniques are used in carrying out the optimum design. Both minimum summed-square-error systems and minimum -N systems are discussed and illustrated for dynamic performance.

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Citations
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Journal ArticleDOI

Brief paper: State estimation for linear discrete-time systems using quantized measurements

TL;DR: This paper considers the use of a logarithmic quantizer, which is motivated by the fact that the resulting quantization error acts as a multiplicative noise, an important feature in many applications.
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Adaptive prediction in speech differential encoding systems

TL;DR: The design and analysis of adaptive predictors for differential encoders employing adaptive quantization and adaptive prediction constitute one of the most promising approaches to achieving design objectives of high-quality highly intelligible speech at 6 to 16 kb/s.
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Control and estimation under information constraints: Toward a unified theory of control, computation and communications

TL;DR: An attempt is made to overview an emerging area of research devoted to analysis and design of control systems under constraints caused by limited information capacity of communication channels.
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Optimum quantization in dynamic systems

TL;DR: It is shown that under certain conditions an overall optimum system design is obtained by first optimizing the system with all quantizers removed and then applying the procedure for the static open-loop case mentioned above.
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Iterative Encoder-Controller Design for Feedback Control Over Noisy Channels

TL;DR: It is shown that the certainty equivalence controller is optimal when the encoder is optimal and has full side-information, and expressions for the optimal encoder are given and implications are discussed for the special cases when process, sensor, or channel noise is not present.
References
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Journal ArticleDOI

On the general theory of control systems

TL;DR: In this paper, a general theory of control systems is outlined which answers many basic questions (what is controllable? why? how?) and gives a highly efficient method of computation.
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Determination of periodic modes in relay servo-mechanisms employing sampled data

TL;DR: In this paper, a difference equation approach is presented to determine the periodic modes in relay servomechanisms employing sampled data, together with Izawa and Weaver's method, the investigator can have all the information concerning possible periodic modes of a system.
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Optimum control of nonlinear discrete-data systems

TL;DR: The technique presented permits the use of a digital computer to carry out the design of optimum control of nonlinear discrete-data control systems to fulfill an optimal performance criterion.