This article presents a low-order engine model to support model-based control development for mode transitions between spark ignition (SI) and homogeneous charge compression ignition (HCCI) combustion modes in gasoline engines. The modeling methodology focuses on cam switching mode transition strategies wherein the mode is abruptly changed between SI and recompression HCCI via a switch of the cam lift and phasing. The model is parameterized to a wide range of steady-state data which are selected to include conditions pertinent to cam switching mode transitions. An additional HCCI combustion model parameter is augmented and tuned based on transient data from SI to HCCI mode transitions where the conditions can be significantly outside any contained in the baseline steady-state parameterization. An adaptation routine is given which allows transient data be assimilated in online operation to update the augmented parameter and improve SI–HCCI transition predictions. With the baseline steady-state parameterization and augmented mode transition parameter, the model is shown to reproduce both steady-state data and transient performance output time histories from SI–HCCI transitions with considerable accuracy.
ZhaoFAsmusTAssanisDDecJEngJNajtP. Homogeneous Charge Compression Ignition (HCCI) engines: key research and development issues. Warrendale, PA: SAE International, 2003.
2.
DecJYangY. Boosted HCCI for high power without engine knock and with ultra-low NOx emissions—using conventional gasoline. SAE Int J Engine2010; 3(1): 750–767.
3.
KoopmansLStrömHLundgrenSBacklundODenbrattI. Demonstrating a SI-HCCI-SI mode change on a Volvo 5-cylinder electronic valve control engine. SAE technical paper 2003-01-0753, 2003.
ZhangYXieHZhouNChenTZhaoH. Study of SI-HCCI-SI transition on a port fuel injection engine equipped with 4VVAS. SAE technical paper 2007-01-0199, 2007.
6.
MilovanovicNBlundellDGedgeSTurnerJ. SI-HCCI-SI mode transition at different engine operating conditions. SAE technical paper 2005-01-0156, 2005.
7.
TianGWangZGeQWangJShuaiS. Control of a spark ignition homogeneous charge compression ignition mode transition on a gasoline direct injection engine. Proc IMechE, Part D: J Automobile Engineering2007; 221: 867–875.
8.
CairnsABlaxillH. The effects of two-stage cam profile switching and external EGR on SI-CAI combustion transitions. SAE technical paper 2007-01-0187, 2007.
9.
KalianNZhaoHQiaoJ. Investigation of transition between spark ignition and controlled auto-ignition combustion in a V6 direct-injection engine with cam profile switching. Proc IMechE, Part D: J Automobile Engineering2008; 222: 1911–1926.
10.
WuHCollingsNRegitzSEtheridgeJKraftM. Experimental investigation of a control method for SI-HCCI-SI transition in a multi-cylinder gasoline engine. SAE technical paper 2010-01-1245, 2010.
11.
NierTKulzerAKarrelmeyerR. Analysis of the combustion mode switch between SI and gasoline HCCI. SAE technical paper 2012-01-1105, 2012.
12.
KakuyaHYamaokaSKumanoKSatoS. Investigation of a SI-HCCI combustion switching control method in a multi-cylinder gasoline engine. SAE technical paper 2008-01-0792, 2008.
13.
GorzelicPHellströmEStefanopoulouAJiangL. Model-based feedback control for an automated transfer out of SI operation during SI to HCCI transitions in gasoline engines. In: ASME dynamic systems and control conference, Fort Lauderdale, FL, 17–19 October 2012, pp.359–367. New York: ASME.
14.
RaviNJagschMOudartJChaturvediNCookDKojicA. Closed-loop control of SI-HCCI mode switch using fuel injection timing. In: ASME dynamic systems and control conference, Palo Alto, CA, 21–23 October 2013, pp.V001T12A001. New York: ASME.
15.
RoelleMShaverGGerdesJ. Tackling the transition: a multi-mode combustion model of SI and HCCI for mode transition control. In: ASME international mechanical engineering congress and exposition, Anaheim, CA, 13–19 November 2004, pp.329–336. New York: ASME.
16.
ShaverGRoelleMGerdesJ. Modeling cycle-to-cycle dynamics and mode transition in HCCI engines with variable valve actuation. Control Eng Pract2006; 14: 213–222.
17.
YangXZhuGSunZ. A control oriented SI and HCCI hybrid combustion model for internal combustion engines. In: ASME dynamic systems and control conference, Cambridge, MA, 12–15 September 2010, pp.657–664. New York: ASME.
18.
YangXZhuG. A two-zone control oriented SI-HCCI hybrid combustion model for the HIL engine simulation. In: IEEE American control conference, San Francisco, CA, 29 June–1 July 2011, pp.973–978. New York: IEEE.
19.
RaviNRoelleMLiaoHJungkunzAChangCParkS. Model-based control of HCCI engines using exhaust recompression. IEEE T Contr Syst T2010; 18(6): 1289–1302.
20.
JiangLStefanopoulouAVanierJYilmazH. Parameterization and simulation for a turbocharged spark ignition direct injection engine with variable valve timing. SAE technical paper 2009-01-0680, 2009.
21.
LeeDJiangLYilmazHStefanopoulouAG. Air charge control for turbocharged spark ignition engines with internal exhaust gas recirculation. In: IEEE American control conference, Baltimore, MD, 30 June–2 July 2010, pp.1471–1476. New York: IEEE.
22.
GorzelicPHellströmEStefanopoulouAJiangLGopinathS. A coordinated approach for throttle and wastegate control in turbocharged spark ignition engines. In: IEEE Chinese control and decision conference, Taiyuan, China, 23–25 May 2012, pp.1524–1529. New York: IEEE.
23.
ErikssonL. Modeling and control of turbocharged SI and DI engines. Oil Gas Sci Technol2007; 62(4): 523–538.
24.
GorzelicP.Modeling and Model-Based Control of Multi-Mode Combustion Engines for Closed-Loop SI/HCCI Mode Transitions with Cam Switching Strategies. Ph.D. Thesis, University of Michigan-Ann Arbor, USA, 2015.
25.
JadeSHellströmELarimoreJStefanopoulouAJiangL. Reference governor for load control in a multi-cylinder recompression HCCI engine. IEEE T Contr Syst T2014; 22(4): 1408–1421.
26.
RaviNLiaoHHJungkunzAChangCFSongHGerdesJ. Modeling and control of an exhaust recompression HCCI engine using split injection. J Dyn Syst: T ASME2012; 134: 231–250.
27.
SongHHEdwardsCF. Understanding chemical effects in low-load-limit extension of homogeneous charge compression ignition engines via recompression reaction. Int J Engine Res2009; 10: 231–250.
28.
YunHGuralpOGroverRNajtP. The effect of temperature and oxygen concentration on auto-ignition at low-load operating conditions in a gasoline homogeneous charge compression ignition engine. Int J Engine Res2013; 14(5): 512–524.
29.
HeXDonovanMZiglerBPalmerTWaltonSWoolridgeM. An experimental and modeling study of iso-octane ignition delay times under homogeneous charge compression ignition conditions. Combust Flame2005; 142: 266–275.
30.
ShaverGGerdesJRoelleMCatonPEdwardsC. Dynamic modeling of residual-affected homogeneous charge compression ignition engines with variable valve actuation. J Dyn Syst: T ASME2005; 127(3): 374–381.
31.
HellströmEStefanopoulouA. Modeling cyclic dispersion in autoignition combustion. In: IEEE conference on decision and control, Orlando, FL, 12–15 December 2011, pp.6834–6839. New York: IEEE.
32.
JankovicMMagnerS. Variable cam timing: consequences to automotive engine control design. In: IFAC triennial world conference, 2002. Barcelona, Spain. Spain: International Federation of Automatic Control.
33.
ErikssonLAnderssonI. An analytic model for cylinder pressure in a four stroke SI engine. SAE technical paper 2002-01-0371, 2002.
34.
HellströmEStefanopoulouAVavraJBabajimopoulosAAssanisDJiangL. Understanding the dynamic evolution of cyclic variability at the operating limits of HCCI engines with negative valve overlap. SAE Int J Engine2012; 5(3): 995–1008.
35.
GorzelicPShingnePMartzJStefanopoulouASterniakJJiangL. A low-order HCCI model extended to capture SI-HCCI mode transition data with two-stage cam switching. In: ASME dynamic systems and control conference, San Antonio, TX, 22–24 October 2014, pp.V002T34A005. New York: ASME.
36.
NuëschSHellströmEJiangLStefanopoulouA. Influence of transitions between SI and HCCI combustion on driving cycle fuel consumption. In: European control conference, Zürich, 17–19 July 2013, pp.1976–1981. New York: IEEE.
37.
AstromKWittenmarkB. Adaptive control. Addison-Wesley, 1995, New York.
