Finite-time stability analysis and H∞ control for a class of nonlinear time-delay Hamiltonian systems

Authors:
Renming Yang;Yuzhen Wang
Affiliations:
School of Control Science and Engineering, Shandong University, Jinan 250061, PR China and School of Information Science and Electrical Engineering, Shandong Jiaotong University, Jinan 250357, PR ...;School of Control Science and Engineering, Shandong University, Jinan 250061, PR China
Venue:
Automatica (Journal of IFAC)
Year:
2013

Citing 14
Cited 0

Finite time controllers

SIAM Journal on Control and Optimization
Finite-Time Stability of Continuous Autonomous Systems

SIAM Journal on Control and Optimization
Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach

Neural Networks
Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems

SIAM Journal on Control and Optimization
Finite-Time Global Stabilization by Means of Time-Varying Distributed Delay Feedback

SIAM Journal on Control and Optimization
Delay-dependent robust stability and l2-gain analysis of a class of nonlinear time-delay systems

Automatica (Journal of IFAC)
Brief paper: On input-to-state stability of systems with time-delay: A matrix inequalities approach

Automatica (Journal of IFAC)
On stability of time delay Hamiltonian systems

ACC'09 Proceedings of the 2009 conference on American Control Conference
Brief Nonlinear decentralized controller design for multimachine power systems using Hamiltonian function method

Automatica (Journal of IFAC)
A Hamiltonian viewpoint in the modeling of switching power converters

Automatica (Journal of IFAC)
Trajectory tracking control of port-controlled Hamiltonian systems via generalized canonical transformations

Automatica (Journal of IFAC)
Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems

Automatica (Journal of IFAC)
On stability of linear neutral systems with mixed time delays: A discretized Lyapunov functional approach

Automatica (Journal of IFAC)
Brief Generalized Hamiltonian realization of time-invariant nonlinear systems

Automatica (Journal of IFAC)

Quantified Score

Hi-index	22.14

Visualization

Abstract

This paper investigates the finite-time stability (FTS) analysis and finite-time H"~ control design for a class of nonlinear time-delay Hamiltonian systems, and proposes some delay-dependent results on both the FTS and finite-time control design. First, a criterion on the FTS is proposed for general time-delay nonlinear systems via the Razumikhin approach. Then, based on the criterion, some delay-independent and delay-dependent conditions on the FTS are derived for the nonlinear time-delay Hamiltonian systems by constructing a suitable Lyapunov function. Third, we use the obtained FTS results to investigate the finite-time H"~ control problem, and present a control design procedure for a class of nonlinear time-delay port-controlled Hamiltonian systems by the energy-shaping approach. Study of two illustrative examples shows that the results obtained in this paper work very well in the FTS analysis and control design of some nonlinear time-delay Hamiltonian systems.