Phase Retrieval for $$L^2([-\pi ,\pi ])$$ via the Provably Accurate and Noise Robust Numerical Inversion of Spectrogram Measurements

Improved Pi Control via Dynamic Inversion

Abstract: In this paper we present a new design methodology to achieve high performances in the setpoint following task by means of a standard Proportional-Integral (PI) controller. In particular, a dynamic inversion procedure is adopted to synthesize a suitable command input to the closed-loop control system. In this way, the PI parameters can be selected for a load rejection purpose, as the d...

Pi-pi Scattering Lengths in the Light of Precision Measurements

Robust PI Controller Design Satisfying Gain and Phase Margin Constraints

This paper presents a control design algorithm for determining PI-type controllers satisfying specifications on gain margin, phase margin, and an upper bound on the (complementary) sensitivity for a finite set of plants. Important properties of the algorithm are: (i) it can be applied to plants of any order including plants with delay, unstable plants, and plants given by measured data, (ii) it...

A simple robust PI/PID controller design via numerical optimization approach

This paper presents a simple but effective method for designing robust PI or PID controller. The robust PI/PID controller design problem is solved by the maximization, on a finite interval, of the shortest distance from the Nyquist curve of the open loop transfer function to the critical point-1. Simulation studies are used to demonstrate the effectiveness of the proposed method. 2004 Elsevier ...

Bounds for the Co-PI index of a graph

In this paper, we present some inequalities for the Co-PI index involving the some topological indices, the number of vertices and edges, and the maximum degree. After that, we give a result for trees. In addition, we give some inequalities for the largest eigenvalue of the Co-PI matrix of G.