The concept of weak strictly positive real regions is introduced, and its properties are discussed . By using the complete discrimination system for polynomials, complete characterization of the (weak) strictly positi...The concept of weak strictly positive real regions is introduced, and its properties are discussed . By using the complete discrimination system for polynomials, complete characterization of the (weak) strictly positive real regions for transfer functions in coefficient space is given. A new effective method for robust strictly positive real synthesis is proposed. This method results in necessary and sufficient conditions for low-order stable interval polynomials and segment polynomials, and is also efficient for high-order cases. Numerical examples are provided to illustrate the effectiveness of this method.展开更多
For low degree systems (n≤3), it is verified that all convex combination of a (s) and b(s) keeping Hurwitzness is a necessary and sufficient condition for the existence of c(s) such that both c(s)/a(s) and c(s)/b(s) ...For low degree systems (n≤3), it is verified that all convex combination of a (s) and b(s) keeping Hurwitzness is a necessary and sufficient condition for the existence of c(s) such that both c(s)/a(s) and c(s)/b(s) are SPR.展开更多
For a family of shifted and rotated systems with multilmearly correlated perturbations, the strict positive realness of the entire family can be inferred from the same property of its vertex systems. The maximal H∞ n...For a family of shifted and rotated systems with multilmearly correlated perturbations, the strict positive realness of the entire family can be inferred from the same property of its vertex systems. The maximal H∞ norm of the shifted system family is achieved at vertex systems. Two well-known strong Kharitonov-like theorems on performance robustness of interval system family are direct consequences of the above results.展开更多
This paper is devoted to the study of robust strict positive real stabilization for uncertain systems, i.e. considering how to design a single controller which can not only robustly stabilizes a plant with uncertainti...This paper is devoted to the study of robust strict positive real stabilization for uncertain systems, i.e. considering how to design a single controller which can not only robustly stabilizes a plant with uncertainties under unity-feedback but also makes the closed-loop system robustly strictly positive real. Though this problem is of important significance in robust control, adaptive control and network theory, it has not had more attention up to now. This paper covers the following problems: (1) Robust strict positive real stabilization criteria for uncertain systems are established. (2) The synthesis approach of a controllet is given, (3) Some applications to the asymptotic hyperstability robustness of nonlinear systems are introduced simply.展开更多
For a class of control systems with disc uncertainties, robust performance anaysis is developed. On the strictly positive realness and H-infinity-norm of uncertain systems, from the geometric point of view, two new su...For a class of control systems with disc uncertainties, robust performance anaysis is developed. On the strictly positive realness and H-infinity-norm of uncertain systems, from the geometric point of view, two new sufficient and necessary conditions are given. The largest H-infinity-norm bound, containing the coefficients of only stable polynomials and centered at a nominal stable point in the coecient space is found. The results obtained in the paper are tractable and concise, which is illustrated by some numerical examples.展开更多
文摘The concept of weak strictly positive real regions is introduced, and its properties are discussed . By using the complete discrimination system for polynomials, complete characterization of the (weak) strictly positive real regions for transfer functions in coefficient space is given. A new effective method for robust strictly positive real synthesis is proposed. This method results in necessary and sufficient conditions for low-order stable interval polynomials and segment polynomials, and is also efficient for high-order cases. Numerical examples are provided to illustrate the effectiveness of this method.
文摘For low degree systems (n≤3), it is verified that all convex combination of a (s) and b(s) keeping Hurwitzness is a necessary and sufficient condition for the existence of c(s) such that both c(s)/a(s) and c(s)/b(s) are SPR.
文摘For a family of shifted and rotated systems with multilmearly correlated perturbations, the strict positive realness of the entire family can be inferred from the same property of its vertex systems. The maximal H∞ norm of the shifted system family is achieved at vertex systems. Two well-known strong Kharitonov-like theorems on performance robustness of interval system family are direct consequences of the above results.
基金Project supported by the National Natural Science Foundationthe Aviation Science Foundation of China
文摘This paper is devoted to the study of robust strict positive real stabilization for uncertain systems, i.e. considering how to design a single controller which can not only robustly stabilizes a plant with uncertainties under unity-feedback but also makes the closed-loop system robustly strictly positive real. Though this problem is of important significance in robust control, adaptive control and network theory, it has not had more attention up to now. This paper covers the following problems: (1) Robust strict positive real stabilization criteria for uncertain systems are established. (2) The synthesis approach of a controllet is given, (3) Some applications to the asymptotic hyperstability robustness of nonlinear systems are introduced simply.
文摘For a class of control systems with disc uncertainties, robust performance anaysis is developed. On the strictly positive realness and H-infinity-norm of uncertain systems, from the geometric point of view, two new sufficient and necessary conditions are given. The largest H-infinity-norm bound, containing the coefficients of only stable polynomials and centered at a nominal stable point in the coecient space is found. The results obtained in the paper are tractable and concise, which is illustrated by some numerical examples.
