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1. Barrier Lyapunov Function-based control for strict-feedback systems withfull state constraints | |||
WANG Chunxiao,WU Yuqiang | |||
Information Science and System Science 02 July 2016 | |||
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Abstract:This paper studies an adaptive control design for a class of strict-feedback nonlinear systems with asymmetric time-varying full state constraints. A time-varying asymmetric Barrier Lyapunov Function (ABLF) is employed to ensure time-varying constraints satisfaction. By allowing the barriers to vary with the desired trajectory in time, the initial condition requirements are relaxed. Thus the ABLF can afford greater flexibility in control design. The high order coupling terms caused by backstepping method are canceled through variable substitution. Asymptotic tracking is achieved without violation of any constraints, and all signals in the closed-loop system are ultimately bounded. The performance of the ABLF-based control is illustrated through a numerical example. | |||
TO cite this article:WANG Chunxiao,WU Yuqiang. Barrier Lyapunov Function-based control for strict-feedback systems withfull state constraints[OL].[ 2 July 2016] http://en.paper.edu.cn/en_releasepaper/content/4699692 |
2. Partial synchronization of the distributed parameter system with time delay via fuzzy control | |||
YUAN Kun,FEI Shumin,CAO Jinde | |||
Information Science and System Science 27 December 2012 | |||
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Abstract:In this paper, partial synchronization of thedistributed parameter system (DPS) with time delay is considered via the Galerkin's method and the fuzzy control. First, based on the Galerkin's method, the dynamics of master DPs and slave DPS can be described by low-order ordinary differential equations (ODE), respectively. Then the low-order functional ODEs is used as the basis for the design of the fuzzy controller to ensure the synchronization between the two low-order ODEs, moreover, when the slow system of masterDPS and the slow system of slave DPS is synchronized, the errorbetween master DPS and slave DPS is bounded. Some criteria are derived for stabilization and linear matrix inequality (LMI) design approach is developed. The effectiveness of the proposed controller design methodology is finally demonstrated through numerical simulation . | |||
TO cite this article:YUAN Kun,FEI Shumin,CAO Jinde. Partial synchronization of the distributed parameter system with time delay via fuzzy control[OL].[27 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4505494 |
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