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**Fuzzy tracking control design for hypersonic vehicles via T-S model.**
*(English)*
Zbl 1227.93064

Summary: The main focus of this paper is on designing a T-S fuzzy controller for the hypersonic vehicle. The longitudinal dynamics of the vehicle are studied using time-scale decomposition to reduce the complexity of T-S modeling. The dynamic inversion with PI control technique is applied for the slow dynamics to derive the flight path angle command and throttle setting by taking the pilot altitude and velocity command as its inputs. The T-S fuzzy controller is designed for the fast dynamics to derive the elevator deflection to track the flight path angle command. The discrepancy between the T-S model and real vehicle model is considered by using sliding mode control for the system stability. Simulation results are included to show the effectiveness of the controller.

### MSC:

93C42 | Fuzzy control/observation systems |

93C95 | Application models in control theory |

93C85 | Automated systems (robots, etc.) in control theory |

93B12 | Variable structure systems |

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\textit{D. Gao} and \textit{Z. Sun}, Sci. China, Inf. Sci. 54, No. 3, 521--528 (2011; Zbl 1227.93064)

### References:

[1] | Buschek H, Calise A J. Uncertainty modeling and fixed-order controller design for a hypersonic vehicle model. J Guid Control Dyn, 1997, 20: 42–48 · Zbl 0925.93692 |

[2] | Groves K P, Sigthorsson D O, Serrani A, et al. Reference command tracking for a linearized model of an air-breathing hypersonic vehicle. In: AIAA Guidance, Navigation, and Control Conference, San Francisco, CA, USA, 2005. 2901–2914 |

[3] | Sigthorsson D, Jankovsky P, Serrani A, et al. Robust linear output feedback control of an airbreathing hypersonic vehicle. J Guid Control Dyn, 2008, 31: 1052–1066 |

[4] | Wang Q, Stengel R F. Robust nonlinear control of a hypersonic aircraft. J Guid Control Dyn, 2000, 23: 577–584 |

[5] | Xu H J, Ioannou P A, Mirmirani M. Adaptive sliding mode control design for a hypersonic flight vehicle. J Guid Control Dyn, 2004, 27: 829–838 |

[6] | Xu H J, Mirmirani M, Ioannou P A. Robust neural adaptive control of a hypersonic aircraft. In: AIAA Guidance, Navigation, and Control Conference, Austin, Texas, 2003. 1–8 |

[7] | Fiorentini L, Serrani A, Bolender M A, et al. Nonlinear robust adaptive control of flexible air-breathing hypersonic vehicles. AIAA J Guid Control Dyn, 2009, 32: 401–416 |

[8] | Gao D X, Sun Z Q, Luo X, et al. Fuzzy adaptive control for hypersonic vehicle via backstepping method (in Chinese). Control Theory Appl, 2008, 25: 805–810 |

[9] | Teixeira M C M, Zak S H. Stabilizing controller design for uncertain nonlinear systems using fuzzy models. IEEE Trans Fuzzy Syst, 1999, 7: 133–142 |

[10] | Tuan H D, Apkarian P, Narikiyo T, et al. Parameterized linear matrix inequality techniques in fuzzy control system design. IEEE Trans Fuzzy Syst, 2001, 9: 324–332 |

[11] | Chang W J, Chang W. Model-based fuzzy controller design for time-delay affine Takagi-Sugeno fuzzy models via ILMI algorithm. J Intell Fuzzy Syst, 2006, 17: 633–647 · Zbl 1111.93045 |

[12] | Yan S Y, Sun Z Q. Design and analysis of switching reduced-order observer and separation principle for T-S fuzzy system. Sci China Ser F-Inf Sci, 2009, 52: 1217–1232 · Zbl 1182.93076 |

[13] | Sun F C, Li L, Li H X, et al. Neuro-fuzzy dynamic-inversion-based adaptive control for robotic manipulators-discrete time case. IEEE Trans Neural Netw, 2007, 54: 1342–1351 |

[14] | Tseng C S, Chen B S, Uang H J. Fuzzy tracking control design for nonlinear dynamic system via T-S fuzzy model. IEEE Trans Fuzzy Syst, 2001, 9: 381–392 |

[15] | Utkin V I. Variable structure systems with sliding modes. IEEE Trans Autom Control, 1977, 22: 212–222 · Zbl 0382.93036 |

[16] | Man Z, Paplinkski A P, Wu H R. A robust mimo terminal sliding mode control scheme for rigid robotics manipulators. IEEE Trans Autom Control, 1994, 39: 2464–2469 · Zbl 0825.93551 |

[17] | Yong K, Utkin V, Ozguner U. A control engineer’s guide to sliding mode control. IEEE Trans Control Syst Tech, 1999, 7: 328–342 |

[18] | Cheng C C, Chien S H. Adaptive sliding mode controller design based on T-S fuzzy system models. Automatica, 2006, 42: 1005–1010 · Zbl 1110.93027 |

[19] | Marrison C I, Stengel R F. Design of robust control systems for a hypersonic aircraft. J Guid Control Dyn, 1998, 21: 58–63 · Zbl 0908.93045 |

[20] | Wai R J, Lin C M, Hsu C F. Adaptive fuzzy sliding mode control for electrical servo drive. Fuzzy Sets Syst, 2004, 143: 295–310 · Zbl 1053.93525 |

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