An Improved Stability Analysis Method for Hamiltonian Systems with Input Saturation and Delay

This paper is devoted to stability analysis of Hamiltonian systems subject to actuator saturation and input delay. The dissipative structural properties of the Hamiltonian systems are fully considered and sufficient conditions obtained via Wirtinger inequalities method are stated to guarantee the asymptotical stability of the closed-loop systems when control saturations effectively occur. An augmented Lyapunov-Krasovskill functional is constructed and Wirtinger inequalities are utilised to estimate the derivatives of the candidate Lyapunov functionals more accurately. The time-varying delay is considered and corresponding stability criterion is established for the system. An application on power systems is illustrated to show the effectiveness and less conservatism of the developed theoretical method.