A new anti-disturbance control scheme is proposed for a class of nonlinear systems subjected to multi-source disturbances. The uncertain multi-source disturbances are classified into two parts; one is the harmonic and constant disturbance with partial known information, which can be formulated by an exogenous system, and the other consists of unknown time-varying disturbances. The nonlinear disturbance observer (NDO) is constructed to estimate the first kind of disturbance. By integrating the NDO with an adaptive backstepping technique, a novel composite anti-disturbance control scheme is proposed for the nonlinear systems. Then the stability analysis of the closed-loop system is presented. The simulation of a numerical example is given to demonstrate the effectiveness of the proposed results.
BackJShimbH (2008) Adding robustness to nominal output-feedback controllers for uncertain nonlinear systems: a nonlinear version of disturbance observer. Automatica44: 2528–2537.
2.
BickelRTomizukaR (1999) Passivity-based versus disturbance observer based robot control: equivalence and stability. Journal of Dynamic Systems Measurement and Control – Transactions of the ASME121: 41–47.
3.
CaoSYGuoLWenXY (2011) Fault tolerant control with disturbance rejection and attenuation performance for systems with multiple disturbances. Asian Journal of Control13(6): 1056–1064.
4.
ChenMChenWH (2010) Sliding mode controller design for a class of uncertain nonlinear system based disturbance observer. International Journal of Adaptive Control and Signal Processing24(1): 51–64.
5.
ChenMGeSSRenBB (2011) Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints. Automatica47(3): 452–465.
6.
ChenWH (2004) Disturbance observer based control for nonlinear systems. IEEE/ASME Transactions on Mechatronics9(4): 706–710.
7.
ChenWHBallanceDJGawthropPJ. (2000) A nonlinear disturbance observer for robotic manipulators. IEEE Transactions on Industrial Electronics47(4): 932–938.
8.
DingZT (2006) Output regulation of uncertain nonlinear systems with nonlinear exosystems. IEEE Transactions on Automatic Control51(3): 498–503.
9.
FengGPalaniswamiM (1991) Unified treatment of internal model principle based adaptive control algorithms. International Journal of Control54(4): 883–901.
10.
GeSSHongFLeeTH (2005) Robust adaptive control of nonlinear systems with unknown time delays. Automatica41(7): 1181–1190.
11.
GuoLCaoSY (2014) Anti-disturbance control theory for systems with multiple disturbances: a survey. ISA Transactions53(4): 846–849.
12.
GuoLChenWH (2005) Disturbance attenuation and rejection for systems with nonlinearity via DOBC approach. International Journal of Robust and Nonlinear Control15: 109–125.
13.
HuangJChenZ (2004) A general framework for tackling the output regulation problem. IEEE Transactions on Automatic Control49: 2203–2218.
14.
HuangYHMassnerW (1998) A novel disturbance observer design for magnetic hard drive servo system with rotary actuator. IEEE Transactions on Magnetics34: 1892–1894.
15.
IshikawaJTomizukaM (1998) Pivot friction compensation using an accelerometer and a disturbance observer for hard disk. IEEE/ASME Transactions on Mechatronics3: 194–201.
16.
IsidoriAMarconiLSerraniA (2003) Robust Autonomous Guidance: An Internal Model Approach. Berlin: Springer.
17.
IwasakiMShibataTMatsuiN (1999) Disturbance-observer-based nonlinear friction compensation in the table drive systems. IEEE/ASME Transactions on Mechatronics4(1): 3–8.
18.
JiDHJeongSCParkJH. (2012) Robust adaptive backstepping synchronization for a class of uncertain chaotic systems using fuzzy disturbance observer. Nonlinear Dynamics69(3): 1125–1136.
19.
KemfCJKobayashiS (1999) Disturbance observer and feedforward design for a high speed direct drive positioning table. IEEE Transactions on Control Systems Technology7(5): 513–526.
20.
KimBKChungWKYoumY (1996) Robust learning control for robot manipulators based on disturbance observer. In Proceedings of 1996 IECON 22nd International Conference on Industrial Electronics, Control and Instrumentation, IEEE publisher. Taipei, August 5–10, 1996, 2: 1276–1282.
21.
KimKHBaikICMoonGW. (1999) A current control for a permanent magnet synchronous motor with a simple disturbance estimation scheme. IEEE Transactions on Control Systems Technolology7(5): 630–633.
22.
KimYHHaIJ (2000) Asymptotic state tracking in a class of nonlinear systems via learning-based inversion. IEEE Transactions on Automatic Control45(11): 2011–2017.
23.
KrsticMKanellakopoulosIKokotovicPV (1995) Nonlinear and Adaptive Control Design. New York: Wiley.
24.
LinCLLinTY (2001) An H∞ design approach for neural net-based control schemes. IEEE Transactions on automatic control46(10): 1599–1605.
25.
NikiforovVO (1998) Adaptive non-linear tracking with complete compensation of unknown disturbances. European Journal of Control4(2): 132–139.
26.
OhYChungWK (1999) Disturbance-observer-based motion control of redundant manipulators using inertially decoupled dynamics. IEEE/ASME Transactions on Mechatronics4: 133–145.
27.
OhishiKNakaoMOhnishiK. (1987) Microprocessor-controlled DC motor for load-insensitive position servo system. IEEE Transactions on Industrial Electronics34(1): 44–49.
28.
SunHBGuoL (2014) Composite adaptive disturbance observer based control and back-stepping method for nonlinear system with multiple mismatched disturbances. Journal of the Franklin Insitute351(2): 1027–1041.
29.
TeeKPGeSS (2006) Control of fully actuated ocean surface vessels using a class of feedforward approximators. IEEE Transactions on Control Systems Technology14(4): 750–756.
30.
ThumCKDuCLewisFL. (2009) H∞ disturbance observer design for high precision track following in hard disk drives. IET Control Theory and Applications3(12): 1591–1598.
31.
WeiXJChenN (2014) Composite hierarchical anti-disturbance control for nonlinear systems with DOBC and fuzzy control. International Journal of Robust and Nonlinear control24(2): 362–373.
32.
WeiXJChenNLiWQ (2013) Composite adaptive disturbance observer-based control for a class of nonlinear systems with multisource disturbance. International Journal of Adaptive Control and Signal Processing27(3): 199–208.
33.
WeiXJGuoL (2009) Composite disturbance-observer-based control and terminal sliding mode control for nonlinear systems with disturbances. International Journal of Control82(6): 1082–1098.
34.
WeiXJGuoL (2010) Composite disturbance-observer-based control and H∞ control for complex continuous models. International Journal of Robust and Nonlinear Control20(1): 106–118.
35.
WenXYGuoLPengY (2014) Composite hierarchical anti-disturbance control for robotic systems with multiple disturbances. International Journal of Control, Automation, and Systems12(3): 541–551.
36.
WuZJCuiMYShiP (2012) Backstepping control in vector form for stochastic Hamiltonian systems. SIAM Journal on Control and Optimization50(2): 925–942.
37.
WuZJXieXJShiP. (2009) Backstepping controller design for a class of stochastic nonlinear systems with Markovian switching. Automatica45(4): 997–1004.
38.
YangJChenWHLiS (2011) Nonlinear disturbance observer-based robust control for systems with mismatched disturbances/uncertainties. IET Control Theory and Applications5(18): 2053–2062.
39.
YangJChenWHLiSH. (2013a) Static disturbance-to-output decoupling for nonlinear systems with arbitrary disturbance relative degree. International Journal of Robust and Nonlinear control23: 562–577.
40.
YangJLiSHYuXH (2013b) Sliding-mode control for systems with mismatched uncertainties via a disturbance observer. IEEE Transactions on Industrial Electronics60(1): 160–169.
41.
YaoXMGuoL (2013) Composite anti-disturbance control for Markovian jump nonlinear systems via disturbance observer. Automatica49(8): 2538–2545.
