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H∞ Control of LPV Systems with Randomly Multi-Step Sensor Delays
Yilian Zhang,Fuwen Yang,Qing-Long Han 제어·로봇·시스템학회 2014 International Journal of Control, Automation, and Vol.12 No.6
This paper is concerned with the H∞ control problem for a class of linear parameter-varying (LPV) systems with randomly multi-step sensor delays. A mathematical model which describes the randomly multi-step sensor delayed measurements for LPV systems is established. An improved Lyapunov func-tional is proposed to determine the asymptotically mean-square stability of the closed-loop system which depends on the varying parameters. The obtained full-order parameter-dependent dynamic feedback controller guarantees the considered system to be asymptotically mean-square stable and to satisfy the modified H∞ performance for all possible delayed measurements. An extended cone complementarity linearization method (CCLM) is used to solve the constrained linear matrix inequality (CLMI). Simulation results illustrate the effectiveness of the proposed method.
Proportional-Integral Controller for Stabilization of Second-Order Delay Processes
Honghai Wang,Yilian Zhang,Jian-Chang Liu,Feisheng Yang 제어·로봇·시스템학회 2014 International Journal of Control, Automation, and Vol.12 No.6
This paper considers the problem of determining the complete stabilizing set of proportional-integral (PI) controllers for a second-order process with time delay by employing a version of the Hermite-Biehler theorem applicable to quasipolynomials. With the poles of open-loop system being complex, we first provide the result to find the admissible range of the proportional gain. Then by choosing a fixed proportional gain in this range, we can ascertain the complete region of integral gain which can stabilize the second-order delay process. Similarly, the result for the case of open-loop real poles is also obtained. It is mentioned that the condition to obtain the parameter set for stabilizing the given plant is sufficient and necessary.
Hao Yang,Yilian Zhang,Wei Gu,Fuwen Yang 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.8
This paper investigates the remote localization problem for a network-based automatic guided vehicle (AGV) system. Considering the constraints of network bandwidth and the interference of unknown-but-bounded (UBB) noises, a novel quantized set-membership approach is proposed. First, a differential zooming strategy is designed for the quantization process of the measurement signals in order to reduce the quantization error and the negative influence of the quantization effects. Then, a remote modified set-membership filter is designed to eliminate the influence of UBB noises and obtain the optimal position state estimation ellipsoid for the considered AGV. Sufficient conditions for the existence of the set-membership filter are derived and a recursive algorithm is provided for computing the ellipsoid that guarantees to contain the true state. Finally, the remote localization performance analysis verifies the effectiveness of the proposed quantized set-membership approach for the considered AGV.
Yanfei Zhu,Fuwen Yang,Chuanjiang Li,Yilian Zhang 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.4
This paper is concerned with the simultaneous stability of the multi-mode large-scale systems composed of the interaction subsystems. A novel distributed control network consisting of multiple network-based controllers with the partial information exchange is adopted to simultaneously stabilize the large-scale systems in multiple operation modes. In the distributed control network (DCN), a partial state information exchange approach is developed to save the real-time communication and computation resources. To compensate for the effects of dynamic couplings between interaction subsystems, the designed controllers use both the local states and the neighbors’ partial information with packet dropouts for local feedback design. Then, a series of Lyapunov functions are constructed to derive a matrix-inequality-based sufficient condition for the existence of the desired controllers. Based on an orthogonal complement technique, the gains of the controllers in DCN are parameterized. The iterative algorithm for the solution of simultaneous stabilization problem is also developed. Finally, a numerical example is performed to show the relevant feature of the proposed method.