This paper discusses the problem of the H∞ filtering for discrete time 2-D singular Roesser models (2-D SRM). The purpose is to design an observer-based 2-D singular filter such that the error system is acceptable, j...This paper discusses the problem of the H∞ filtering for discrete time 2-D singular Roesser models (2-D SRM). The purpose is to design an observer-based 2-D singular filter such that the error system is acceptable, jump modes free and stable, and satisfies a pre-specified H∞ performance level. By general Riccati inequality and bilinear matrix inequalities (BMI), a sufficient condition for the solvability of the observer-based H∞ filtering problem for 2-D SRM is given. A numerical example is provided to demonstrate the applicability of the proposed approach.展开更多
针对一类范数有界的不确定多项式非线性系统的H∞静态输出反馈控制器设计问题,以双线性矩阵不等式(bilinear matrix inequalities,BMIs)形式给出了此类控制器存在的充要条件。由于BMIs问题是非凸的,因此引入一种迭代平方和优化(iterativ...针对一类范数有界的不确定多项式非线性系统的H∞静态输出反馈控制器设计问题,以双线性矩阵不等式(bilinear matrix inequalities,BMIs)形式给出了此类控制器存在的充要条件。由于BMIs问题是非凸的,因此引入一种迭代平方和优化(iterative sum of squares,ISOS)算法。该算法能够有效的求解BMIs问题,并进一步得到H∞静态输出反馈控制器。最后,仿真算例证明了该方法的有效性。展开更多
This paper proposes output feedback controller design methods for uncertain piecewise linear systems based on piecewise quadratic Lyapunov function. The α-stability of closed-loop systems is also considered. It is sh...This paper proposes output feedback controller design methods for uncertain piecewise linear systems based on piecewise quadratic Lyapunov function. The α-stability of closed-loop systems is also considered. It is shown that the output feedback controller design procedure of uncertain piecewise linear systems with α-stability constraint can be cast as solving a set of bilinear matrix inequalities （BMIs）. The BMIs problem in this paper can be solved iteratively as a set of two convex optimization problems involving linear matrix inequalities （LMIs） which can be solved numerically efficiently. A numerical example shows the effectiveness of the proposed methods.展开更多
基金Supported by National Natural Science Foundation of P.R.China (60304001, 60474078) the Science Research Development Foundation of Nanjing University of Science and Technology
文摘This paper discusses the problem of the H∞ filtering for discrete time 2-D singular Roesser models (2-D SRM). The purpose is to design an observer-based 2-D singular filter such that the error system is acceptable, jump modes free and stable, and satisfies a pre-specified H∞ performance level. By general Riccati inequality and bilinear matrix inequalities (BMI), a sufficient condition for the solvability of the observer-based H∞ filtering problem for 2-D SRM is given. A numerical example is provided to demonstrate the applicability of the proposed approach.
文摘针对一类范数有界的不确定多项式非线性系统的H∞静态输出反馈控制器设计问题,以双线性矩阵不等式(bilinear matrix inequalities,BMIs)形式给出了此类控制器存在的充要条件。由于BMIs问题是非凸的,因此引入一种迭代平方和优化(iterative sum of squares,ISOS)算法。该算法能够有效的求解BMIs问题,并进一步得到H∞静态输出反馈控制器。最后,仿真算例证明了该方法的有效性。
基金the National Natural Science Foundation of China (No. 70471049).
文摘This paper proposes output feedback controller design methods for uncertain piecewise linear systems based on piecewise quadratic Lyapunov function. The α-stability of closed-loop systems is also considered. It is shown that the output feedback controller design procedure of uncertain piecewise linear systems with α-stability constraint can be cast as solving a set of bilinear matrix inequalities （BMIs）. The BMIs problem in this paper can be solved iteratively as a set of two convex optimization problems involving linear matrix inequalities （LMIs） which can be solved numerically efficiently. A numerical example shows the effectiveness of the proposed methods.
