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Hierarchical control of a class of uncertain linear systems

Journal of Control and Decision 2016年第2期3卷 119-131页

作者： Kaihong Yang Haibo Ji Department of Automation University of Science and Technology of ChinaHefeiChina

Hierarchical control method which is based on a hierarchical architecture has been developed to be mainly aimed at large-scale complex *** order to analyse and control this kind of systems,we construct first an appropriate and low-dimensional abstract system,then synthesise and lift the control law from the obtained abstraction to the original *** far as the linear systems with uncertain terms are concerned,this paper studies the robust control problem of high-dimensional uncertain linear systems and derives the results by employing hierarchical ***,the LMI toolbox is allowed to be used for the computation of interface ***,our method framework is illustrated on a five-dimensional uncertain linear system.

关键词： hierarchical control abstraction robust control uncertain linear systems

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Guaranteed cost control for saturated uncertain linear systems

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控制理论与应用（英文版） 2009年第4期7卷 400-404页

作者： Sheng LIU Liming ZHOU College of Automation Harbin Engineering University Harbin Heilongjiang 150001 China

In this paper, we discuss the problem of guaranteed cost control for uncertain linear systems subject to actuator saturation. Based on the quadratic and non-quadratic Lyapunov functions, sufficient conditions for the robust stability and performance are derived. Moreover, all the conditions can be expressed as linear matrix inequalities （LMIs） or bilinear matrix inequalities （BMIs） in terms of the feedback gain. Thus, the static controller can be effectively synthesized via convex optimization. A numerical example illustrates the effectiveness of the method.

关键词： Guaranteed cost control uncertain linear systems Actuator saturation Quadratic Lyapunov function

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Robust fault tolerant control of uncertain time-delay linear systems

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Progress in Natural Science:Materials International 2003年第6期 66-71页

作者： LIU Peng and ZHOU Donghua(Department of Automation, Tsinghua University, Beijing 100084, China) Department of Automation Tsinghua University Beijing 100084 China

Robust fault tolerant control for a class of time-delay linear systems with parameter uncertainties is studied, and a time-delay related state feedback control is proposed. On the basis of Lyapunov method , we prove that the proposed control law has integrity against sensor and/or actuator failures if the correspondent sufficient condition can be satisfied. A heuristic algorithm is also provided to facilitate the realization of the fault tolerant control. Finally, a simulation example is presented to show the effectiveness of the proposed approach .

关键词： time-delay uncertain linear systems fault tolerant control robust control Riccati equation.

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On geometric interpretation of extended state observer: a preliminary study

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Control Theory and Technology 2023年第1期21卷 89-96页

作者： Jinfeng Chen Zhiqiang Gao Center for Advanced Control Technologies Cleveland State University2121 Euclid AvenueClevelandOH 44115USA

Borrowing the framework of the geometric approach, this paper tries to analyze and explain why it is possible for the extended state observer (ESO) to estimate the state vector and total disturbance accurately. The geometric approach has provided an elegant and rigorous framework to redefine some key concepts in modern control theory, such as controllability and observability. Moreover, those concepts can be extended to deal with systems in the presence of inaccessible disturbances, such as controlled invariants and conditioned invariants. It is shown in this paper that the augmented system of the ESO is unknown-state unknown-input completely reconstructable in finite time interval. A numerical simulation is given to verify the state vector and total disturbance can be estimated accurately by the ESO if the augmented system is unknown-state unknown-input completely reconstructable.

关键词： Extended state observer:Geometric approach-Observability uncertain linear systems

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