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
The strict positive realness of a class of multilinearly parametrized interval systems is discussed, and a strong Kharitonov-like theorem is established. This result is applied to the absolute stability study of a cla...The strict positive realness of a class of multilinearly parametrized interval systems is discussed, and a strong Kharitonov-like theorem is established. This result is applied to the absolute stability study of a class of nonlinear feedback systems with both parameter uncertainty and unstructured uncertainty, and an extreme point criterion for robust absolute stability is obtained. The robust strict positive realness of the shifted interval plant-controller family is discussed, and some previous results in literature are improved.展开更多
For any two n-th order polynomials a(s) and b(s), the Hurwitz stability of their convex combination is necessary and sufficient for the existence of a polynomial c(s) such that c(s)/a(s) and c(s)/b(s) are both strictl...For any two n-th order polynomials a(s) and b(s), the Hurwitz stability of their convex combination is necessary and sufficient for the existence of a polynomial c(s) such that c(s)/a(s) and c(s)/b(s) are both strictly positive real.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
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The strict positive realness of a class of multilinearly parametrized interval systems is discussed, and a strong Kharitonov-like theorem is established. This result is applied to the absolute stability study of a class of nonlinear feedback systems with both parameter uncertainty and unstructured uncertainty, and an extreme point criterion for robust absolute stability is obtained. The robust strict positive realness of the shifted interval plant-controller family is discussed, and some previous results in literature are improved.
文摘For any two n-th order polynomials a(s) and b(s), the Hurwitz stability of their convex combination is necessary and sufficient for the existence of a polynomial c(s) such that c(s)/a(s) and c(s)/b(s) are both strictly positive real.
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.
