This paper presents an H∞ controller design method for piecewise discrete time linear systems based on a piecewise quadratic Lyapunov function. It is shown that the resulting closed loop system is globally stable wit...This paper presents an H∞ controller design method for piecewise discrete time linear systems based on a piecewise quadratic Lyapunov function. It is shown that the resulting closed loop system is globally stable with guaranteed H∞ performance and the controller can be obtained by solving a set of bilinear matrix inequalities. It has been shown that piecewise quadratic Lyapunov functions are less conservative than the global quadratic Lyapunov functions. A simulation example is also given to illustrate the advantage of the proposed approach.展开更多
In this paper,the mixed Pólya-Szegöprinciple is established.By the mixed Pólya-Szegöprinciple,the mixed Morrey-Sobolev inequality and some new analytic inequalities are obtained.
文摘This paper presents an H∞ controller design method for piecewise discrete time linear systems based on a piecewise quadratic Lyapunov function. It is shown that the resulting closed loop system is globally stable with guaranteed H∞ performance and the controller can be obtained by solving a set of bilinear matrix inequalities. It has been shown that piecewise quadratic Lyapunov functions are less conservative than the global quadratic Lyapunov functions. A simulation example is also given to illustrate the advantage of the proposed approach.
基金supported in part by NSFC(Grant No.12001291)supported in part by NSFC(Grant No.12071318)。
文摘In this paper,the mixed Pólya-Szegöprinciple is established.By the mixed Pólya-Szegöprinciple,the mixed Morrey-Sobolev inequality and some new analytic inequalities are obtained.
