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Best performance analysis for stochastic perturbation systems with spectral factorization

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Journal of Shanghai University(English Edition) 2008年第1期12卷 80-84页

作者：王建国曹广益朱新坚 Department of Automation School of Electronic Information and Electrical Engineering Shanghai Jiaotong University Shanghai 200030 P. R. China

We investigate the best performance for linear feedback control systems in the case that plant uncertainty is to be considered. First, we define an average integral square criterion of tracking error over a class of stochastic model errors. By utilizing spectral factorization to minimize the performance index, we derive an optimal controller design method and further study best performance in the presence of stochastic perturbation. The results can be used to evaluate optimal performance in practical control system designs.

关键词： best tracking plant uncertainty stochastic perturbation spectral factorization

Best Tracking Performance under Plant Uncertainty and Control Energy Constraint

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Journal of Donghua University(English Edition) 2007年第4期24卷 529-532,538页

作者：孔屹刚王志新王建国 School of Electronic Information and Electrical Engineering Shanghai Jiaotong University

This paper has investigated best tracking performance for linear feedback control systems in the case that plant uncertainty and control effort need to be considered simultaneously. Firstly, an average integral square criterion of the tracking error and the plant input energy over a class of additive model errors is defined. Then, utilizing spectral factorization to minimize the performance index, we obtain an optimal controller design method, and furthermore study optimal tracking performance under plant uncertainty and control energy constraint. The results can be used to evaluate optimal average tracking performance and control energy in designing practical control systems.

关键词： optimal tracking plant uncertainty control energy constraint spectral factorization

Colocated MIMO radar waveform-design based on two-step optimizations in spatial and spectral domains

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Frontiers of Information Technology & Electronic Engineering 2017年第7期18卷 1021-1032页

作者： Yu-xi WANG Guo-ce HUANG Wei LI Jin-liang LI Information and Navigation College Air Force Engineering University Xi 'an 710077 China

We propose an efficient colocated multiple-input multiple-output radar waveform-design method based on two-step optimizations in the spatial and spectral domains. First, a minimum integrated side-lobe level strategy is adopted to obtain the desired beam pattern with spatial nulling. By recovering the hidden convexity of the resulting fractional quadratically constrained quadratic programming non-convex problem, the global optimal solution can be achieved in polynomial time through a semi- definite relaxation followed by spectral factorization. Second, with the transmit waveforms obtained via spatial optimization, a phase changing diagonal matrix is introduced and optimized via power method-like iterations. Without influencing the shape of the optimized beam pattern, the transmit waveforms are further optimized in the spectral domain, and the desired spectral nulling is formed to avoid radar interference on the overlaid licensed radiators. Finally, the superior performance of the proposed method is demonstrated via numerical results and comparisons with other approaches to waveform design.

关键词： Multiple-input multiple-output (MIMO) radar Waveform design spectral factorization Fractional quadraticallyconstrained quadratic programming (QCQP)

INNER-OUTER factorization FOR STRICTLY PROPER TRANSFER MATRICES

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INNER-OUTER FACTORIZATION FOR STRICTLY PROPER TRANSFER MATRI...

Steady-State Optimal Control for Continuous-Time Systems with Input Delays

第二十届中国控制会议

作者： Guoxiang Gu Department of Electrical and Computer Engineering Louisiana State University, Baton Rouge, LA 70803-5901, U.S.A.

＜正＞This paper considers inner-outer factorization for strictly proper transfer matrices. We provide characterizations to the solution of this particular factorization problem, and develop a computational algorithm ... 详细信息

关键词： Inner-outer factorization spectral factorization singular systems

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Steady-State Optimal Control for Continuous-Time Systems wit...