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| 1 | Stabilization Parametric Region of Distributed PID Controllers for General First-Order Multi-Agent Systems With Time Delay显示文摘The stabilization problem of distributed proportional-integral-derivative(PID)controllers for general first-order multi-agent systems with time delay is investigated in the paper.The closed-loop multi-input multi-output(MIMO)framework in frequency domain is firstly introduced for the multi-agent system.Based on the matrix theory,the whole system is decoupled into several subsystems with respect to the eigenvalues of the Laplacian matrix.Considering that the eigenvalues may be complex numbers,the consensus problem of the multi-agent system is transformed into the stabilizing problem of all the subsystems with complex coefficients.For each subsystem with complex coefficients,the range of admissible proportional gains is analytically determined.Then,the stabilizing region in the space of integral gain and derivative gain for a given proportional gain value is also obtained in an analytical form.The entire stabilizing set can be determined by sweeping proportional gain in the allowable range.The proposed method is conducted for general first-order multi-agent systems under arbitrary topology including undirected and directed graph topology.Besides,the results in the paper provide the basis for the design of distributed PID controllers satisfying different performance criteria.The simulation examples are presented to check the validity of the proposed control strategy. | Xinyi Yu Fan Yang Chao Zou Linlin Ou | 2020 | IEEE/CAA Journal of Automatica Sinica2020，7，6： | 5 |
| 2 | Nominal and robust stability regions of optimization-based PID controllers显示文摘 | Ou Linlin Zhang Weidong Gu Danying | 2006 | ISA Transactions2006，45，3： | 1 |
| 3 | Nominal and robust stability regions of optimization based PID controllers 显示文摘 | Ou Linlin Zhang Weidong Gu Danying | 2006 | ISA Transactions2006，45，3： | 1 |
| 4 | Algebraic solution to H2 control problems I显示文摘 | Zhang Weidong Ou Linlin Gu Danying | 2006 | The Scalar Case Ind Eng Chem Res2006，45，21： | 1 |
| 5 | Research on the Low-order Control Strategy of the Power System With Time Delay显示文摘In this paper, the design problem of the low-order controller is considered for the power system with a fixed time delay. A linear model of the power system with time delay is firstly established. Then the proportional-integral-differential(PID) controller, which is the typical low-order controller, is designed to improve the stability of the power system. The stabilizing region of the PID controller is obtained. The control parameters chosen arbitrarily in the resultant region can ensure the stability of the power system. Finally, based on the stabilizing result, the PID controller satisfying the H∞performance index is designed, which improves the robustness of the whole power system. The main advantage of the proposed method lies in that there is no need to approximate the model of the power system.The method can be further extended to the power system which is more complex. | Xinyi Yu Xuejinfeng Hong Jun Qi Linlin Ou Yanlin He | 2018 | IEEE/CAA Journal of Automatica Sinica2018，5，2： | 0 |
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