61 research outputs found
On discrete-time dissipative port-Hamiltonian (descriptor) systems
Port-Hamiltonian (pH) systems have been studied extensively for linear
continuous-time dynamical systems. This manuscript presents a discrete-time pH
descriptor formulation for linear, completely causal, scattering passive
dynamical systems based on the system coefficients. The relation of this
formulation to positive and bounded real systems and the characterization via
positive semidefinite solutions of Kalman-Yakubovich-Popov inequalities is also
studied.Comment: 30 pages, 3 figure
Non-descriptor dynamic output feedback ESPR controller design for continuous-time descriptor systems
In this article, the non-descriptor output feedback controller for extended strictly positive real (ESPR) control problem of continuous-time descriptor systems is proposed. More precisely, the proposed controller will achieve the ESPR property for the closed-loop transfer matrices while the regularity, impulse immunity and stability of the closed-loop system can be guaranteed. Furthermore, the desired controller is in non-descriptor form and can be carried out by solving a set of linear matrix inequalities; thus it is realisable and efficiently computable
Convex searches for discrete-time Zames-Falb multipliers
In this paper we develop and analyse convex searches for Zames--Falb
multipliers. We present two different approaches: Infinite Impulse Response
(IIR) and Finite Impulse Response (FIR) multipliers. The set of FIR multipliers
is complete in that any IIR multipliers can be phase-substituted by an
arbitrarily large order FIR multiplier. We show that searches in discrete-time
for FIR multipliers are effective even for large orders. As expected, the
numerical results provide the best -stability results in the
literature for slope-restricted nonlinearities. Finally, we demonstrate that
the discrete-time search can provide an effective method to find suitable
continuous-time multipliers.Comment: 12 page
Towards a modeling class for port-Hamiltonian systems with time-delay
The framework of port-Hamiltonian (pH) systems is a powerful and broadly
applicable modeling paradigm. In this paper, we extend the scope of pH systems
to time-delay systems. Our definition of a delay pH system is motivated by
investigating the Kalman-Yakubovich-Popov inequality on the corresponding
infinite-dimensional operator equation. Moreover, we show that delay pH systems
are passive and closed under interconnection. We describe an explicit way to
construct a Lyapunov-Krasovskii functional and discuss implications for delayed
feedback
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