| Optimization of block-floating-point realizations for digital controllers with finite-word-length considerations |
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| 作者姓名： | 吴俊 胡协和 陈生 褚健 |
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| 作者单位： | National Key Laboratory of Industrial Control Technology，National Key Laboratory of Industrial Control Technology，Department of Electronics and Computer Science，National Key Laboratory of Industrial Control Technology Institute of Advanced Process Control，Zhejiang University，Hangzhou 310027，China，Institute of Advanced Process Control，Zhejiang University，Hangzhou 310027，China，University of Southampton，Southampton SO17 1BJ，UK，Institute of Advanced Process Control，Zhejiang University，Hangzhou 310027，China |
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| 基金项目： | ProjectsupportedbytheNationalNaturalScienceFoundationofChina (No .60174026)andtheScientificResearchFoundationforReturnedOverseasChineseScholarsofZhejiangProvince (No .J2 0 0 2 0 5 46) |
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| 摘 要： | INTRODUCTIONDuetothefinitewordlength (FWL)effect,acasualcontrollerimplementationmaydegradethedesignedclosed loopperformanceorevendestabilizethedesignedstableclosed loopsys tem ,ifthecontrollerimplementationstructureisnotcarefullychosen .Theeffectsoffinite…
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Optimization of block-floating-point realizations for digital controllers with finite-word-length considerations |
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| Abstract: | The closed loop stability issue of finite precision realizations was investigated for digital controllers implemented in block floating point format. The controller coefficient perturbation was analyzed resulting from using finite word length (FWL) block floating point representation scheme. A block floating point FWL closed loop stability measure was derived which considers both the dynamic range and precision. To facilitate the design of optimal finite precision controller realizations, a computationally tractable block floating point FWL closed loop stability measure was then introduced and the method of computing the value of this measure for a given controller realization was developed. The optimal controller realization is defined as the solution that maximizes the corresponding measure, and a numerical optimization approach was adopted to solve the resulting optimal realization problem. A numerical example was used to illustrate the design procedure and to compare the optimal controller realization with the initial realization. |
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| Keywords: | Digital controller Finite word length Block floating point Closed loop stability Optimization |
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