In this paper, adaptive compensation with a robust integral of the sign of the extended error (RISEE) feedback is developed for high precise tracking control of systems in the presence of simultaneous structured and unstructured uncertainties. To handle various uncertainties existing in the system in one controller, we propose an adaptive RISEE controller (ARISEE), in which an adaptive law based on the improved discontinuous projection method is synthesized to handle parametric uncertainties and the RISEE robust term to attenuate unmodelled disturbances. Moreover, the present controller does not need a priori knowledge on the bounds of the lumped disturbances and the gain of the designed robust control law can itself be tuned. The major feature of the proposed controller is that it can theoretically guarantee global asymptotic tracking performance with a continuous control input, in the presence of parametric uncertainties and unmodelled disturbances via Lyapunov analysis. Comparative numerical results verify the effectiveness of the proposed non-linear controller.
CaiZde QueirozMSDawsonDM (2006) Robust adaptive asymptotic tracking of nonlinear systems with additive disturbance. IEEE Transactions on Automatic Control51: 524–529.
2.
ChenWH (2004) Disturbance observer based control for nonlinear systems. IEEE/ASME Transactions on Mechatronics9: 706–710.
FengYYuXManZ (2013) On nonsingular terminal sliding mode control of nonlinear systems. Automatica49: 1715–1722.
5.
LiZJGeSS (2013) Adaptive robust controls of biped robots. IET Control Theory and Applications7: 161–175.
6.
HanJQ (2009) From PID to active disturbance rejection control. IEEE Transactions on Industrial Electronics56: 900–906.
7.
HongFGeSSRenBet al. (2009) Robust adaptive control for a class of uncertain strict-feedback nonlinear systems. International Journal of Robust and Nonlinear Control19: 746–767.
8.
HongYYaoB (2007) A globally stable high-performance adaptive robust control algorithm with input saturation for precision motion control of linear motor drive systems. IEEE/ASME Transactions on Mechatronics12: 198–207.
9.
HuCXYaoBWangQF (2011) Adaptive robust precision motion control of systems with unknown input dead-zones: a case study with comparative experiments. IEEE Transactions on Industrial Electronics58: 2454–2464.
10.
KristicMKanellakopoulosIKokotovicPV (1995) Nonlinear and Adaptive Control Design. New York: Wiley.
11.
LindlauJDKnospeCR (2002) Feedback linearization of an active magnetic bearing with voltage control. IEEE Transactions on Control Systems Technology10: 21–31.
12.
OliverPD (1991) Feedback linearization of DC motors. IEEE Transactions on Industrial Electronics38: 498–501.
13.
PatrePMMacKunisWMakkarCet al. (2008) Asymptotic tracking for systems with structured and unstructured uncertainties. IEEE Transactions on Control Systems Technology16: 373–379.
SongGZhaoJQZhouXQde Abreu-GarciaJA (2005) Tracking control of a piezoceramic actuator with hysteresis compensation using inverse Preisach model. IEEE/ASME Transactions on Mechatronics10: 198–209.
16.
SunWCGaoHJKaynakO (2015) Vibration isolation for active suspensions with performance constraints and actuator saturation. IEEE/ASME Transactions on Mechatronics20: 675–683.
17.
SunWCGaoHJYaoB (2013a) Adaptive robust vibration control of full-car active suspensions with electrohydraulic actuators. IEEE Transactions on Control Systems Technology21: 2417–2422.
18.
SunWCZhaoZLGaoHJ (2013b) Saturated adaptive robust control for active suspension systems. IEEE Transactions on Industrial Electronics60: 3889–3896.
19.
TaoGKokotovicPV (1995a) Adaptive control of plants with unknown hysteresis. IEEE Transaction on Automatic Control40: 200–212.
20.
TaoGKokotovicPV (1995b) Continuous-time adaptive control of systems with unknown backlash. IEEE Transaction on Automatic Control40: 1083–1087.
21.
TomeiP (1999) Robust adaptive control of robots with arbitrary transient performance and disturbance attenuation. IEEE Transaction on Automatic Control44: 654–658.
22.
UnderwoodSJHusainI (2010) Online parameter estimation and adaptive control of permanent-magnet synchronous machines. IEEE Transactions on Industrial Electronics57: 2435–2443.
23.
WenCYZhouJLiuZTet al. (2011) Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance. IEEE Transaction on Automatic Control56: 1672–1678.
24.
WiseKALavretskyEHovakimyanN (2006) Adaptive control of flight: theory, applications, and open problems. In: Proceedings of the American Control Conference (ACC), Minneapolis, MA, pp. 5967–5971.
25.
XianBDawsonDMde QueirozMSet al. (2004) A continuous asymptotic tracking control strategy for uncertain nonlinear systems. IEEE Transaction on Automatic Control49: 1206–1211.
26.
XuLYaoB (2001) Output feedback adaptive robust precision motion control of linear motors. Automatica37: 1029–1039.
27.
YangJLiSHSuJYet al. (2013) Continuous nonsingular terminal sliding mode control for systems with mismatched disturbances. Automatica49: 2287–2291.
28.
YaoB (1997) High performance adaptive robust control of nonlinear systems: a general framework and new schemes. In: Proceedings of the IEEE Conference on Decision and Control (CDC), San Diego, CA, pp. 2489–2494.
29.
YaoBBuFPReedyJet al. (2000) Adaptive robust motion control of single-rod hydraulic actuators: theory and experiments. IEEE/ASME Transactions on Mechatronics5: 79–91.
30.
YaoBTomizukaM (1997) Adaptive robust control of SISO nonlinear systems in a semi-strict feedback form. Automatica33: 893–900.
31.
YaoJYJiaoZXMaDW (2014a) Adaptive robust control of DC motors with extended state observer. IEEE Transactions on Industrial Electronics61: 3630–3637.
32.
YaoJYJiaoZXMaDW (2014b) Extended-state-observer-based output feedback nonlinear robust control of hydraulic systems with backstepping. IEEE Transactions on Industrial Electronics61: 6285–6293.
33.
YaoJYJiaoZXMaDWet al. (2014c) High-accuracy tracking control of hydraulic rotary actuators with modelling uncertainties. IEEE/ASME Transactions on Mechatronics19: 633–641.
34.
YaoJYYangGCJiaoZXet al. (2013) Adaptive robust motion control of direct-drive dc motors with continuous friction compensation. Abstract and Applied Analysis2013: 1–14.
35.
YuSYuXShirinzadehBet al. (2005) Continuous finite-time control for robotic manipulators with terminal sliding mode. Automatica41: 1957–1964.
36.
ZhouJShenXZ (2007) Robust adaptive control of nonlinear uncertain plants with unknown dead-zone. IET Control Theory and Applications1: 25–32.
37.
ZhouJZhangCJWenCY (2007) Robust adaptive output control of uncertain nonlinear plants with unknown backlash nonlinearity. IEEE Transaction on Automatic Control52: 503–509.
38.
ZhangZLuJXuS (2012) Tuning functions-based robust adaptive tracking control of a class of nonlinear systems with time delays. International Journal of Robust and Nonlinear Control22: 1631–1646.
