Second Order Sliding Mode Control of a Diesel Engine

Abstract

A 2nd order sliding mode algorithm is applied to control the speed of a diesel power generator set. Tuning guidelines are given. The robustness of the controller is investigated and the performance of the 2nd order sliding mode controller is compared with that obtained by a commercial diesel engine controller and a classical proportional‐integral (PI) controller. Robustness to unmodelled dynamics is discussed and implementation results presented.

Static characteristics of electromechanical systems with second order sliding mode

“…Известно большое количество работ, посвященных построению систем управления динамическими объектами, в которых возникают скольз ящие режимы второго порядка. В этих работах отражено: непосредственное использование классических алгорит мов суперскручивания [2], дополнение их элементами адаптации [3], с последующей реализацией синтези рованных алгоритмов цифровыми регуляторами [4], расширением полученных результатов на класс систем с несколькими входами [5], придание замкнутой системе особых свойств робастности [6], пониженной колеба тельности [7], астатизма [8]. Несмотря на значительный объем исследований динамических систем со скользя щими режимами второго порядка, приведенных в этих и других работах, существует ряд не изученных вопросов.…”

Non-homogeneous disturbance observer-based second order sliding mode control

“…Keeping the main advantages of the traditional SMC, the chattering ef fect is significantly attenuated and higher order precision is provided. As a special case of HOSM methods, second order sliding mode (SOSM) control with finite-time convergence have already been successfully implemented for solution of real problems [7][8][9][10]. Inspired by homing missile guidance problem, Shtessel et al proposed a smooth second order s liding mode (SSOSM) control to achieve enhanced tracking accuracy [11][12][13].…”

Principles of 2-sliding mode design

“…While finite-time-convergent arbitrary-order slidingmode controllers are mostly still theoretically studied (Levant, 2001(Levant, , 2003Floquet, Barbot and Perruquetti, 2003), 2-sliding controllers with finite-time convergence have already been successfully implemented for solution of real problems (Bartolini, Ferrara & Punta, 2000;Bartolini, Pisano, Punta & Usai, 2003;Levant, Pridor, Gitizadeh, Yaesh & Ben-Asher, 2000;Sira-Ramírez, 2002;Orlov, Aguilar & Cadiou, 2003;Khan, Goh & Spurgeon, 2003;Shkolnikov & Shtessel, 2002;Shkolnikov, Shtessel, Lianos, & Thies, 2000;Shtessel & Shkolnikov, 2003;Shtessel, Shkolnikov & Brown, 2004). There are only few widely used 2-sliding controllers: the sub-optimal controller (Bartolini et al, 1998), the terminal sliding mode controllers (Man, Paplinski & Wu, 1994), and the twisting controller .…”

“…There are only few widely used 2-sliding controllers: the sub-optimal controller (Bartolini et al, 1998), the terminal sliding mode controllers (Man, Paplinski & Wu, 1994), and the twisting controller . 2-3 more controllers are presented in , Khan et al, 2003, in particular, the super-twisting controller is used in differentiators (Levant, 1998(Levant, , 2003.…”