Adaptive fuzzy output feedback tracking control for a class of nonlinear time-varying delay systems with unknown backlash-like hysteresis. (English) Zbl 1398.93189
Summary: This paper considers the problem of adaptive output feedback tracking control for a class of nonstrict-feedback nonlinear systems with unknown time-varying delays and unknown backlash-like hysteresis. Fuzzy logic systems are used to estimate the unknown nonlinear functions. Based on the Lyapunov-Krasovskii method, the control scheme is constructed by using the backstepping and adaptive technique. The proposed adaptive controller guarantees that all the closed-loop signals are semiglobally uniformly ultimately bounded and the tracking error can converge to a small neighborhood of the origin. Finally, simulation results further show the effectiveness of the proposed approach.
MSC:
| 93C42 | Fuzzy control/observation systems |
| 93B52 | Feedback control |
| 93C10 | Nonlinear systems in control theory |
Keywords:
adaptive fuzzy control; backstepping design technique; backlash-like hysteresis; nonstrict-feedback form; nonlinear controlReferences:
| [1] | B. Chen, C. Lin, X. Liu and K. Liu, Observer-based adaptive fuzzy control for a class of nonlinear delayed systems, IEEE Trans. Syst., Man, Cybern. Syst., 46(1) (2016), 27{36.} |
| [2] | B. Chen, X. Liu and K. Liu and C. Lin, Direct adaptive fuzzy control of nonlinear strict- feedback systems, Automatica, 45(6) (2009), 1530{1535.} · Zbl 1166.93341 |
| [3] | B. Chen, X. P. Liu, S. S. Ge and C. Lin, Adaptive fuzzy control of a class of nonlinear systems by fuzzy approximation approach, IEEE Trans. Fuzzy Syst, 20(6) (2012), 1012{1021.} |
| [4] | S. S. Ge, F. Hong and T. H. Lee, Adaptive neural network control of nonlinear systems with unknown time delays, IEEE Trans. Autom. Control, 48(11) (2003), 2004{2010.} · Zbl 1364.93392 |
| [5] | F. Gmez Estern, A. Barreiro, J. Aracil and F. Gordillo, Robust generation of almost-periodic oscillations in a class of nonlinear systems, Int. J. Robust and Control, 16(18) (2006), 863{890.} · Zbl 1135.93020 |
| [6] | C. Hua and X. Guan, Output feedback stabilization for time-delay nonlinear interconnected systems using neural networks, IEEE Trans. Neural Netw., 19(4) (2008), 673{688.} |
| [7] | L. R. Hunt and G. Meyer, Stable inversion for nonlinear systems, Automatica, 33(8) (1997), 1549{1554.} · Zbl 0890.93046 |
| [8] | M. Krstic, I. Kanellakopoulos and P. V. Kokotovic, Nonlinear and Adaptive Control Design, New York, NY, USA: Wiley, 1995. · Zbl 0763.93043 |
| [9] | H. Lee and M. Tomizuka, Robust adaptive control using a universal approximation for SISO nonlinear systems, IEEE Trans. Fuzzy Syst., 8(1) (2001), 95{106.} |
| [10] | Y. Li and S. C. Tong, Adaptive fuzzy output-feedback stabilization control for a class of switched nonstrict-feedback nonlinear systems, IEEE Trans. Cybern., 99 (2016), 1{10.} |
| [11] | Y. Li, S. C. Tong, Y. Liu and T. Li, Adaptive fuzzy robust output feedback control of nonlinear systems with unknown dead zones based on a small-gain approach, IEEE Trans. Fuzzy Syst, 22(1) (2014), 164-176. |
| [12] | Z. Liu, G. Lai, Y. Zhang, X. Chen and C. L. P. Chen, Adaptive neural control for a class of nonlinear time-varying delay systems with unknown hysteresis, IEEE Trans. Neural Netw. Learn. Syst, 25(12) (2014), 2129{2140.} |
| [13] | A. E. Ougli and B. Tidhaf, Optimal type-2 fuzzy adaptive control for a class of uncertain nonlinear systems using an LMI approach, Int. J. Innov. Comput. I., 11(3) (2015), 851-863. |
| [14] | B. Ren, S. S. Ge, C. Y. Su and T. H. Lee, Adaptive neural control for a class of uncertain nonlinear systems in pure-feedback form with hysteresis input, IEEE Trans. Syst., Man, Cybern. Syst., 39(2) (2009), 431{443.} |
| [15] | C. Y. Su, M. Oya and H. Hong, Stable adaptive fuzzy control of nonlinear systems preceded by unknown backlash-like hysteresis, IEEE Trans. Fuzzy Syst, 11(1) (2003), 1{8.} |
| [16] | C. Y. Su, Y. Stepanenko, J. Svoboda and T. P. Leung, Robust adaptive control of a class of nonlinear systems with unknown backlash-like hysteresis, IEEE Trans. Autom. Control, 45(12) (2000), 2427{2432.} · Zbl 0990.93118 |
| [17] | X. Tan and J. S. Baras, Modelling and control of hysteresis in magnetostrictive actua- tors,Automatica, 40(9) (2004), 1469{1480.} · Zbl 1055.93538 |
| [18] | G. Tao and P. V. Kokotovic, Adaptive control of plants with unknown hysteresis, IEEE Trans. Autom. Control, 40(2) (1995), 200{212.} · Zbl 0821.93047 |
| [19] | G. Tao and P. V. Kokotovic, Continuous-time adaptive control of systems with unknown backlash, IEEE Trans. Autom. Control, 40(6) (2002), 1083{1087.} · Zbl 0831.93042 |
| [20] | S. C. Tong and Y. Li, Adaptive fuzzy output feedback tracking backstepping control of strict feedback nonlinear systems with unkown dead zones, IEEE Trans. Fuzzy Syst, 20(1) (2012), 168{180.} |
| [21] | S. C. Tong, Y. Li and S. Sui, Adaptive Fuzzy Tracking Control Design for SISO Uncertain Non-Strict Feedback Nonlinear Systems, IEEE Trans. Fuzzy Syst., 24(6) (2016), 1441{1454.} |
| [22] | S. C. Tong, S. Sui and Y. Li, Adaptive fuzzy decentralized output stabilization for stochas- tic nonlinear large-scale systems with unknown control directions, IEEE Trans. Fuzzy Syst, 22(5) (2014), 1365{1372.} |
| [23] | S. C. Tong, X. L. He and H. G. Zhang, A combined backstepping and small-gain approach to robust adaptive fuzzy output feedback contro, IEEE Trans. Fuzzy Syst, 17(5) (2009), 1059{ 1069.} |
| [24] | H. Wang, B. Chen, K. Liu, X. Liu and C. Lin, Adaptive neural tracking control for a class of nonstrict-feedback stochastic nonlinear systems with unknown backlash-like hysteresis, IEEE Trans. Neural Netw. Learn. Syst., 25(5) (2014), 947{958.} |
| [25] | M. Wang, B. Chen, X. Liu and P. Shi, Adaptive fuzzy tracking control for a class of perturbed strict-feedback nonlinear time-delay systems, Fuzzy Set. Syst., 159(8) (2008), 949{967.} · Zbl 1170.93349 |
| [26] | Y. Yang and C. Zhou, Adaptive fuzzy H stabilization for strict-feedback canonical non- linear systems via backstepping and small-gain approach, IEEE Trans. Fuzzy Syst, 13(1) (2005),104{114.} |
| [27] | J. Yu, P. Shi, H. Yu, B. Chen and C. Lin, Approximation-based discrete-time adaptive position tracking control for interior permanent magnet synchronous motors, IEEE Trans. Cybern, 45(7) (2015), 1363{1371.} |
| [28] | X. Zhou, P. Shi and X. Zheng, Fuzzy adaptive control design and discretization for a class of nonlinear uncertain systems, IEEE Trans. Cybern, 46(6) (2016), 1476{1483.} |
| [29] | Q. Zhou, P. Shi, S. Xu and H. Li, Adaptive output feedback control for nonlinear time-delay systems by fuzzy approximation approach, IEEE Trans. Fuzzy Syst, 21(2) (2013), 301{313.} |
| [30] | J. Zhou, C. Wen and Y. Zhang, Adaptive backstepping control of a class of uncertain non- linear systems with unknown backlash-like hysteresis, IEEE Trans.Autom. Control, 49(10) (2004), 1751{1759.} · Zbl 1365.93251 |
| [31] | J. Zhou, C. Wen and T. Li, Adaptive output feedback control of uncertain nonlinear systems with hysteresis nonlinearity, IEEE Trans. Autom. Control, 57(10) (2012), 2627{2633.} · Zbl 1369.93323 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
