基于奇异摄动技术的一般积分控制设计

Baishun Liu, Xiang-Qian Luo, Jian-Hui Li
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引用次数: 5

摘要

本文提出了一种利用一般积分器和积分控制作用来设计一般积分控制的系统方法。本文不再使用普通控制和已知的Lyapunov函数,而是综合了奇异摄动技术、均值定理、区间矩阵稳定性定理和Lyapunov方法,建立了在某些有界信息下保证区域和半全局渐近稳定的普遍定理。它的亮点在于,积分器输出的误差可以用来稳定系统,就像系统状态一样,这样就不需要额外的和特别的努力来处理积分动态。理论分析和仿真结果表明:经该设计方法整定的一般积分控制器具有超强的鲁棒性,能更有力地处理动力学的非线性和不确定性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
General Integral Control Design via Singular Perturbation Technique
This paper proposes a systematic method to design general integral control with the generic integrator and integral control action. No longer resorting to an ordinary control along with a known Lyapunov function, but synthesizing singular perturbation technique, mean value theorem, stability theorem of interval matrix and Lyapunov method, a universal theorem to ensure regionally as well as semi-globally asymptotic stability is established in terms of some bounded information. Its highlight point is that the error of integrator output can be used to stabilize the system, just like the system state, such that it does not need to take an extra and special effort to deal with the integral dynamic. Theoretical analysis and simulation results demonstrated that: general integral controller, which is tuned by this design method, has super strong robustness and can deal with nonlinearity and uncertainties of dynamics more forcefully.
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