Passivity Check of S-Parameter Descriptor Systems Via S-Parameter Generalized Hamiltonian Methods
نویسنده
چکیده
This paper extends the generalized Hamiltonian method (GHM) [1], [2] and its half-size variant (HGHM) [2] to their S-parameter counterparts (called S-GHM and S-HGHM, respectively), for testing the passivity of S-parameter descriptorform models widely used in high-speed circuit and electromagnetic simulations. The proposed methods are capable of accurately detecting the possible nonpassive regions of descriptorform models with either scattering or hybrid (impedance or admittance) transfer matrices. Their effectiveness and accuracy are verified with several practical examples. The S-GHM and S-HGHM methods presented here provide a foundation for the passivity enforcement of S-parameter descriptor systems.
منابع مشابه
Passivity Check of -Parameter Descriptor Systems via -Parameter Generalized Hamiltonian Methods
This paper extends the generalized Hamiltonian method (GHM) (Zhang et al., 2009; Zhang and Wong, 2010) and its half-size variant (HGHM) (Zhang and Wong, 2010) to their -parameter counterparts (called S-GHM and S-HGHM, respectively), for testing the passivity of -parameter descriptor-form models widely used in high-speed circuit and electromagnetic simulations. The proposed methods are capable o...
متن کاملPassivity Assessment and Model Order Reduction for Linear Time-Invariant Descriptor Systems in VLSI Circuit Simulation
of thesis entitled Passivity Assessment and Model Order Reduction for Linear Time-Invariant Descriptor Systems in VLSI Circuit Simulation Submitted by Zheng ZHANG for the degree of Master of Philosophy at the University of Hong Kong in June 2010 This thesis presents some theoretical and numerical results for linear time-invariant (LTI) descriptor systems (DSs), with emphasis on their correspond...
متن کاملTime-varying stabilization of nonholonomic Hamiltonian systems via canonical transformations
This paper is concerned with the stabilization of nonholonomic systems in port-controlled Hamiltonian formulae via generalized canonical transformations. A special class of timevarying generalized canonical transformations are introduced which preserves the passivity property. Utilizing this transformation timevarying asymptotically stabilizing controllers for the nonholonomic Hamiltonian syste...
متن کاملThe two parameter quantum groups $U_{r,s}(mathfrak{g})$ associated to generalized Kac-Moody algebra and their equitable presentation
We construct a family of two parameter quantum grou-\ps $U_{r,s}(mathfrak{g})$ associated with a generalized Kac-Moody algebra corresponding to symmetrizable admissible Borcherds Cartan matrix. We also construct the $textbf{A}$-form $U_{textbf{A}}$ and the classical limit of $U_{r,s}(mathfrak{g})$. Furthermore, we display the equitable presentation for a subalgebra $U_{r...
متن کاملGeneralized eigenvalue passivity assessment of descriptor systems with applications to symmetric and singular systems
This paper proposes general eigenvalue-based passivity tests for descriptor state space systems, extending the already available tests for standard state space systems. Generalized eigenvalue tests are proposed to identify passivity violations in the positive-real and bounded-real cases. The important practical case of singular descriptor state space systems is also treated. The proposed passiv...
متن کامل