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Analysis of simple anti-windup compensation in pole-placement control of a second order oscillatory system

Sadalla T., Horla D.

Measurement Automation Monitoring

2015

Vol. 61, No. 2

54--57

The main aim of the paper is to present the analysis of anti-windup compensation impact on tracking performance for a second-order plant and continuous-time PID controller and five different simple anti-windup compensators. The performance of the system is compared on the basis of computing differences between the integrals of absolute and squared tracking errors for the system with and without compensation, as well as observing the excess of windup phenomena taking place. Parameters of the controller are computed according to pole-placement scheme. The control system quality is described on the basis of two quality indices for a stable oscillatory second-order plant and a square reference signal.

Optimization of the Control System Parameters with Use of the New Simple Method of the Largest Lyapunov Exponent Estimation

Balcerzak M., Dąbrowski A., Kapitaniak T., Jach A.

Mechanics and Mechanical Engineering

2013

Vol. 17, nr 4

225--239

This text covers application of Largest Lapunov Exponent (LLE) as a criterion for control performance assessment (CPA) in a simulated control system. The main task is to find a simple and effective method to search for the best configuration of a controller in a control system. In this context, CPA criterion based on calculation of LLE by means of a new method [3] is compared to classical CPA criteria used in control engineering [1]. Introduction contains references to previous publications on Lyapunov stability. Later on, description of classical criteria for CPA along with formulae is presented. Significance of LLE in control systems is explained. Moreover, new efficient formula for calculation of LLE [3] is shown. In the second part simulation of the control system used for experiment is described. The next part contains results of the simulation in which typical criteria for CPA are compared with criterion based on value of LLE. In the last part results of the experiment are summed up and conclusions are drawn.