CAJ | 학술논문

针对具有死区非线性输入的未知混沌系统的控制问题，基于Lyapunov稳定性理论建立变结构模糊自适应控制器及系统参数的自适应规则。控制器的设计过程中无需知道未知非线性未知函数的上界及非线性控制输入的增益衰减度，该方法能有效消除死区非线性输入对系统的影响，并能保证闭环系统所有信号一致有界，跟踪误差渐近收敛到原点的一个可调邻域内。数值仿真的结果也验证了该方法的有效性。
침대구유사구비선성수입적미지혼돈계통적공제문제，기우Lyapunov은정성이론건립변결구모호자괄응공제기급계통삼수적자괄응규칙。공제기적설계과정중무수지도미지비선성미지함수적상계급비선성공제수입적증익쇠감도，해방법능유효소제사구비선성수입대계통적영향，병능보증폐배계통소유신호일치유계，근종오차점근수렴도원점적일개가조린역내。수치방진적결과야험증료해방법적유효성。
Based on Lyapunov stability th eory, the variable-structure fuzzy adaptive controller and adaptive laws of system parameters are established to solve the controlling problem for uncertain chaotic systems with nonlinearities and dead-zones. The controller need not to know the upper bounds of unknown nonlinear functions and the gain reduction tolerances of nonlinear control inputs. The proposed method can eliminate the influence of nonlinearities dead-zones, furthermore, all signals of the closed-loop system are bounded and the tracking errors converge to an adjustable neighborhood of origin. Finally, the simulation results are given to demonstrate the effectiveness of the control strategy.