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个人经历
学习经历工作经历
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研究方向
1. 级联双端口网络控制系统在多源扰动下的鲁棒稳定性
a) 利用gap度量刻画系统模型不确定性；
b) 利用H无穷范数（线性时不变系统）或算子范数（时变、非线性系统）刻画通信噪声、失真、串扰；
c) 考虑同时存在的模型不确定性和信道干扰，分析双端口级联网络的鲁棒稳定性，得到鲁棒稳定的充分必要条件；
d) 基于鲁棒稳定裕度，进行最优鲁棒控制器设计，提出简洁高效的多项式算法。
2. 复杂系统相位理论研究
a) 复杂系统增益相位一体化理论；
b) 非线性系统相位理论。
3. 秩优化与模型降阶
a) 利用低秩矩阵逼近求解Frisch-Kalman问题；
b) 推广Frisch-Shapiro定理，应用于单调系统和系统辨识；
c) 提出扇形矩阵相位秩优化理论，应用于系统模型降阶。
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发表论文
[1] D. Zhao, C. Chen and S. Z. Khong, “A frequency-domain approach to nonlinear negative imaginary systems analysis”, Automatica, under review, arXiv:2109.15126v1.
[2] D. Zhao, A. Ringh, L. Qiu and S. Z. Khong, “Low phase-rank approximation”, Linear Algebra and its Applications (LAA), under review, arXiv:2011.14811.
[3] D. Zhao, S. Z. Khong and L. Qiu, “System monotonicity and subspace tracking: A geometric perspective of the Frisch-Shapiro scheme”, IEEE Transactions on Automatic Control (TAC), full paper in press, 2021.
[4] T. Yu, D. Zhao and L. Qiu, “Networked robust stability for LTV systems with simultaneous uncertainties in plant, controller and communication channels”, SIAM Journal on Control and Optimization (SICON), vol. 59, no. 1, pp. 1-23, 2021.
[5] D. Zhao, S. Z. Khong and L. Qiu, “Stabilization of cascaded two-port networked systems with simultaneous nonlinear uncertainties”, Automatica, vol. 123, 2021.
[6] D. Zhao, L. Qiu and G. Gu, “Stabilization of two-port networked systems with simultaneous uncertainties in plant, controller, and communication channels”, IEEE Transactions on Automatic Control (TAC), vol. 65, no. 3, pp. 1160 -1175, 2020.
[7] L. Qiu and D. Zhao, “Robust control in gap metric”, In: J. Baillieul and T. Samad (eds), Encyclopedia of Systems and Control, Springer, London, 2019.
[8] D. Zhao, C. Chen, S. Z. Khong and L. Qiu, “Robust control against uncertainty quartet: A polynomial approach”, In: T. Basar (eds), Uncertainty in Complex Networked Systems. Systems & Control: Foundations & Applications, Birkhauser, Cham, pp. 149-178, 2018.