Sufficient and necessary conditions for the simultaneous stability of arbitrary number of SISO plants by a static output feedback controller are proposed in this paper. Both continuous time and discrete time cases are...Sufficient and necessary conditions for the simultaneous stability of arbitrary number of SISO plants by a static output feedback controller are proposed in this paper. Both continuous time and discrete time cases are considered. To determine these conditions only requires to check the stability at a finite number of points between consequent critical constants. As a result, not only can the simultaneous stability be ascertained, but also the entire set of the stabilizing output feedback gains can be determined.展开更多
This paper addresses the robust static out- put feedback （SOF） controller design problem for a class of uncertain fuzzy affine systems that are robust against both the plant parameter perturbations and controller g...This paper addresses the robust static out- put feedback （SOF） controller design problem for a class of uncertain fuzzy affine systems that are robust against both the plant parameter perturbations and controller gain variations. More specifically, the purpose is to synthesize a non-fragile piecewise affine SOF controller guaranteeing the stability of the resulting closed-loop fuzzy affine dynamic system with certain performance index. Based on piecewise quadratic Lyapunov functions and applying some convexification pro- cedures, two different approaches are proposed to solve the robust and non-fragile piecewise affine SOF controller syn- thesis problem. It is shown that the piecewise affine controller gains can be obtained by solving a set of linear matrix in- equalities （LMIs）. Finally, simulation examples are given to illustrate the effectiveness of the proposed methods.展开更多
文摘Sufficient and necessary conditions for the simultaneous stability of arbitrary number of SISO plants by a static output feedback controller are proposed in this paper. Both continuous time and discrete time cases are considered. To determine these conditions only requires to check the stability at a finite number of points between consequent critical constants. As a result, not only can the simultaneous stability be ascertained, but also the entire set of the stabilizing output feedback gains can be determined.
文摘This paper addresses the robust static out- put feedback （SOF） controller design problem for a class of uncertain fuzzy affine systems that are robust against both the plant parameter perturbations and controller gain variations. More specifically, the purpose is to synthesize a non-fragile piecewise affine SOF controller guaranteeing the stability of the resulting closed-loop fuzzy affine dynamic system with certain performance index. Based on piecewise quadratic Lyapunov functions and applying some convexification pro- cedures, two different approaches are proposed to solve the robust and non-fragile piecewise affine SOF controller syn- thesis problem. It is shown that the piecewise affine controller gains can be obtained by solving a set of linear matrix in- equalities （LMIs）. Finally, simulation examples are given to illustrate the effectiveness of the proposed methods.
