CAJ | 학술논문

通过构造参数依赖Lyapunov函数,研究了线性离散不确定系统的广义l2 ( Gl2 )性能分析问题. 所考虑的线性时不变系统参数不确定性具有凸多面体不确定性形式,同时受外部扰动影响.通过引入自由权矩阵和采用线性矩阵不等式技术,给出了保证系统Gl2 性能的三个充分性判别条件. 通过理论分析,所得结果较已有文献具有更少的保守性. 最后,数值算例验证了此方法的可行性和有效性.
통과구조삼수의뢰Lyapunov함수,연구료선성리산불학정계통적엄의l2 ( Gl2 )성능분석문제. 소고필적선성시불변계통삼수불학정성구유철다면체불학정성형식,동시수외부우동영향.통과인입자유권구진화채용선성구진불등식기술,급출료보증계통Gl2 성능적삼개충분성판별조건. 통과이론분석,소득결과교이유문헌구유경소적보수성. 최후,수치산례험증료차방법적가행성화유효성.
By constructing the parameter-dependent Lyapunov functions, the generalized l2 ( Gl2 ) perform-ance analysis problem was studied for linear discrete-time uncertain system. The considered linear uncer-tain time-invariant systems are subject to convex polytopic uncertainty. Moreover, the external disturb-ances exist in the system model. By introducing some free weight matrices and using the linear matrix ine-quality technique, three sufficient conditions were proposed to ensure the desired Gl2 performance. It is shown that the proposed results are less conservative than the existing results. Finally, a numerical exam-ple verifies the feasibility and usefulness of the proposed methods.