CAJ | 학술논문

首先,利用Backstepping方法设计了简单的控制器将系统控制到不稳定的平衡点(0,0,0),相空间中任一指定点(0,0,1+b+p(1-p))(0<P<1),以及实现利用第一个状态变量跟踪任意指定的函数r(t).其次,在假设有一个参数未知的条件下,设计了一个单向偶合格式和未知参数的自适应律,使得该系统与其自身达到全局完全同步.用Lyapunov函数方法从理论上证明了设计的正确性,并用Matlab作了数值模拟说明设计的可行性.
수선,이용Backstepping방법설계료간단적공제기장계통공제도불은정적평형점(0,0,0),상공간중임일지정점(0,0,1+b+p(1-p))(0<P<1),이급실현이용제일개상태변량근종임의지정적함수r(t).기차,재가설유일개삼수미지적조건하,설계료일개단향우합격식화미지삼수적자괄응률,사득해계통여기자신체도전국완전동보.용Lyapunov함수방법종이론상증명료설계적정학성,병용Matlab작료수치모의설명설계적가행성.
By using the backstepping design method we formulated a simple controller to control the system to its unstable equilibrium (0,0,0), any point of the form (0, 0, 1 + b + p(1 -p))(0 < p < 1) in phase space, and forced the first state variable to trace arbitrary given function r(t). Suppose one parameter was unknown, we proposed a unidirectional coupled scheme and a parameter update role to assure the new Lorenz-like system to globally synchronize with a copy of itself. We presented a rigorous proof of our design by constructing proper Lyapunov function. Numerical simulations using Matlab were presented to show the feasibility of our design.