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1
Adaptive Control of Uncertain Port-Controlled Hamiltonian Systems Subject to Actuator Saturation

Airong Wei,Yuzhen Wang 제어·로봇·시스템학회 2011 International Journal of Control, Automation, and Vol.9 No.6
This paper deals with the problem of adaptive control of uncertain nonlinear port-controlled Hamiltonian systems subject to actuator saturation, and proposes a number of results on the control design. Firstly, the adaptive stabilization problem is studied, and a control design method is developed by using both the dissipative Hamiltonian structural and saturated actuator properties. Secondly, for the case that there are both parametric uncertainties and external disturbances in the AS systems, an adaptive H∞ control design approach is presented. Finally, study of an example of power systems with simulations shows that the adaptive controller proposed in this paper is effective.
2
Disturbance Tolerance and H∞ Control of Port-Controlled Hamiltonian Systems in the Presence of Actuator Saturation

Airong Wei,Yuzhen Wang 제어·로봇·시스템학회 2014 International Journal of Control, Automation, and Vol.12 No.2
This paper investigates the disturbance tolerance and H∞ control of multi-input Port-Controlled Ha-miltonian (PCH) systems in the presence of actuator saturation which may be not open-loop stable. A simple condition is derived under which trajectories starting from the origin will remain inside an el-lipsoid. The disturbance tolerance ability of the closed-loop system under a given feedback control law is measured by the size of this ellipsoid. Based on the above mentioned condition, the problem of dis-turbance tolerance can be expressed in the form of the linear matrix inequalities (LMIs) optimization problem with constraints. In addition, an H∞ control approach is presented to attenuate the disturbances, and disturbance rejection ability in terms of L2 gain is also determined by the solution of an LMI optimization problem. Study of an illustrative example with simulations shows the effective-ness of the methods proposed.
3
Consensus of Linear Multi-Agent Systems Subject to Actuator Saturation

Airong Wei,Xiaoming Hu,Yuzhen Wang 제어·로봇·시스템학회 2013 International Journal of Control, Automation, and Vol.11 No.4
This paper is aimed at studying the consensus of linear multi-agent systems subject to actuator saturation. In order to solve the consensus problem, a new family of scheduled low-and-high-gain decentralized control laws are designed, provided that the dynamics of each agent is asymptotically null controllable with bounded controls, and such control laws rely on the asymptotic property of a class of parametric algebraic Ricatti equations. It is shown that the consensus of the systems with connected and fixed topology can be achieved semi-globally asymptotically via the local error low-and-high-gain feedback. An illustrative example with simulations shows that our method as well as control protocols is effective for the consensus of the linear multi-agent systems subject to actuator saturation.
4
Robust H∞ Control for Switched Nonlinear Port-controlled Hamiltonian Systems

Zi-Ming Wang,Airong Wei,Xianfu Zhang 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.8
In the paper, the robust H∞ control for switched nonlinear port-controlled Hamiltonian (SNPCH) systems with external disturbances is investigated via the multiple Lyapunov functions method. Under two cases that the SNPCH system is subject to actuator saturation (AS) and the SNPCH system is without AS, a design approach for the switching robust H∞ feedback controller is developed to attenuate the external disturbances. The sufficient conditions are established for H∞ control of the corresponding closed-loop systems based on Hamilton-Jacobi inequality techniques. Furthermore, via the Hamiltonian realization method, the obtained results are applied to solve the H∞ control for switched nonlinear affine systems with external disturbances. Finally, two numerical examples are presented to illustrate the effectiveness of the proposed H∞ control methods.

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