摘要
将美国密歇根大学的学者Bernstein教授和Hollot教授[1]提出的利用指数矩阵形式检测鲁棒稳定性的方法,推广到具有线性时不变(LTI)保持函数的采样控制系统中。直接使用了连续时间模型的原有数据,避免判断条件过于保守。构造了此类系统的标准Lyapunov函数的一个上限。此上限完全不依赖于系统原来的不确定参数,而只依赖于一个为了避免此上限过于保守而专门引入的一个自由标量参数。给出了一个可靠的数值计算的算法。并且将计算方法进行改进以进一步适用于具有任意广义采样保持函数(GSHF)的采样控制系统。
This paper extended Bernstein and Hollot＇s robust stability test to linear time-invariant （LTI） uncertain sampled-data control systems. Unlike that of the most previous works, it directly uses the data of the continuous-time plant and therefore it is expected to be less conservative. This paper uses exponential-like structure construct an upper bound on the standard quadratic Lyapunov function. This upper bound is independent of the uncertain parameters but a free scalar parameter which is artificially introduced to reduce the conservativeness of the upper hound. This paper gives out a reliable numerical algorithm. And then this algorithm is improved so that it can be used to Check the robust stability condition for system with an arbitrary GSHF.
出处
《控制工程》
CSCD
北大核心
2013年第5期976-979,共4页
Control Engineering of China
基金
国家自然科学基金资助项目(61074190)
