A novel method to compute the stability region in power system transient stability analysis is presented. This method is based on the set analysis. The key to this method is to construct the Hamilton-Jacobi-Isaacs (HJI) partial differential equation (PDE) of a nonlinear system, using which we can compute the backward reachable set by applying the level set methods. The backward reachable set of...

We consider a system of linear hyperbolic PDEs where the state at one of the boundary points is controlled using the measurements of another boundary point. Because of the disturbances in the measurement, the problem of designing dynamic controllers is considered so that the closed-loop system is robust with respect to measurement errors. Assuming that the disturbance is a locally essentially b...

a novel method to compute the stability region in power system transient stability analysis is presented. this method is based on the set analysis. the key to this method is to construct the hamilton-jacobi-isaacs (hji) partial differential equation (pde) of a nonlinear system, using which we can compute the backward reachable set by applying the level set methods. the backward reachable set of...

BACKGROUND Postural stability analysis has shown that postural control is impaired in untreated idiopathic Parkinson's disease (IPD), even in the early stages of the disease. Vascular Parkinson's disease (VPD) lacks consensus clinical criteria or diagnostic tests. Moreover, the levodopa effect on postural balance remains undefined for IPD and even less so for VPD. OBJECTIVE To characterize po...

Most variable speed wind turbines have pitch control mechanisms and one of their objectives is to protect turbines when the wind speed is too high. By adjusting pitch angles of wind turbine, the inlet power and the torque developed by the turbine are regulated. In this paper, the difference between the real wind speed and its rated value is regarded as a disturbance, and a component called dist...

A novel large disturbance attenuation sampled-data control scheme is investigated for the strongly nonlinear static synchronous compensator (STATCOM) system using backstepping technique. Focus is centered on the effect of unknown large disturbances that occurs on the system. The Minimax method is used to compute the maximum degree of disturbance. This method effectively reduces the conservative...

The disturbance suppression problem for nonlinear systems is examined in this paper. We review the so-called nonstandard mixed sensitivity problem, which introduces an integrator to a selected weight, as well as the linear classical disturbance suppression problem and the linear H, disturbance suppression problem. We extend this H, problem to the nonlinear case, and present a method to reduce t...

The paper deals with a novel fuzzy feedback linearization control of dynamic positioning marine vehicle with the almost disturbance decoupling performance. The main contribution of this study is to construct a controller such that the resulting dynamic positioning marine vehicle is valid for any initial and desired positions with the following characteristics: input-to-state stability with resp...

We prove the existence of a solution of a free boundary problem for the transonic small-disturbance equation. The free boundary is the position of a transonic shock dividing two regions of smooth flow. Assuming inviscid, irrotational flow, as modeled by the transonic small-disturbance equation, the equation is hyperbolic upstream where the flow is supersonic, and elliptic in the downstream subs...

An experimental investigation of swept-wing crossflow transition is carried out, focussing on the effects of chord Reynolds number and direct roughness element height (spaced at the critical crossflow wavelength) in a moderate-level disturbance facility. Flow quality measurements performed in the wind tunnel indicate turbulence intensities of urms/U∞ = 0.14% and v ′ rms/U∞ = 0.20%. The Reynolds...