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第36届中国控制会议

作者： Li Li College of Mathematics and Physics Bohai University

ISBN: (纸本)9781538629185

This paper considers the design of the sliding mode control for uncertain singular Markovian jump systems with partially unknown transition rates and actuator nonlinearities. An integral sliding surface is designed, and the resulting sliding mode dynamics is the singular Markovian jump system. A set of sufficient conditions is proposed in terms of strict linear matrix inequalities to guarantee the stochastic admissibility of the sliding motion, from which all the parameter matrices in the integral sliding surface function can be calculated. Then, a sliding mode control law is synthesized such that the reachability condition is satisfied and thus the system is driven to the sliding surface in finite time and maintains a sliding motion on it thereafter. Finally,two examples are given to demonstrate the effectiveness of the results.

关键词： Singular systems Markovian jump systems Sliding mode control actuator nonlinearities

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Design of high performance linear feedback laws for operation that extends into the nonlinear region of AMB systems

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Control Theory and Technology 2017年第4期15卷 301-315页

作者： Lyu, Xujun Hu, Yefa Wu, Huachun Lin, Zongli School of Mechanical and Electronic Engineering Wuhan University of Technology Wuhan Hubei China Hubei Maglev Engineering Technology Research Center Wuhan Hubei China Charles L. Brown Department of Electrical and Computer Engineering University of Virginia Charlottesville U.S.A.

Existing active magnetic bearings （AMBs） operate in the linear region of the magnetic material flux density, which limits the utilization of the bearing capacity. In order to increase the utilization of the bearing capacity and enhance the performance of the AMB system, this paper develops a method for designing high performance linear feedback laws. The resulting feedback laws allow the AMB to operate in its nonlinear region and hence improve the closed-loop performance. We first establish an approximate nonlinear AMB current force response model, and place this nonlinear curve inside a sector formed by two piecewise linear lines. Based on the linear line segments in these two piecewise linear lines, we determine the maximum disturbance that can be tolerated by solving an optimization problem with linear matrix inequality （LMI） constraints. For a given level of disturbance under the maximum tolerable disturbance, we formulate and solve the problem of designing the linear feedback that achieves the highest level of disturbance rejection as another LMI problem. Both g2 disturbances and g disturbances are considered. Finally, we illustrate our design by both simulation and experimental results.

关键词： Active magnetic bearings actuator nonlinearities disturbance rejection constrained control

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