CAJ | 학술논문

随着控制理论的发展，鲁棒问题中对不确定性的描述也在变化。对于参数不确定性来说，范数有界的不确定性用于基于小增益定理的鲁棒稳定性分析，而多面体不确定性则多用于二次型稳定性分析。本文对近十年来这方面的进展作了分析，并指出带常数标度小增益条件，-般来说，只是一个充分条件，而基于多面体不确定性的LMI所得的结果，其保守性较小。
수착공제이론적발전，로봉문제중대불학정성적묘술야재변화。대우삼수불학정성래설，범수유계적불학정성용우기우소증익정리적로봉은정성분석，이다면체불학정성칙다용우이차형은정성분석。본문대근십년래저방면적진전작료분석，병지출대상수표도소증익조건，-반래설，지시일개충분조건，이기우다면체불학정성적LMI소득적결과，기보수성교소。
With the development of control theory, the description of the uncertainty has also been improved accordingly. For parameter uncertainties, norm-bounded uncertainty is used with the small gain theory in the robust stability analysis and the polytopic uncertainty is primarily used for quadratic stability analysis. The development of this area during the last decade is reviewed in this paper. It is pointed out that the scaled small gain condition is, generally speaking, just a sufficient condition for stability, while the polytopic uncertainty-based LMI method gives a less conservative result.