Design of large-scale time-delayed systems with dead-zone input via variable structure control.

*(English)*Zbl 1080.93003The authors propose a decentralized variable structure control law to stabilize an uncertain large scale system with time-delays in interconnections and dead-zones in inputs. The uncertainties and interconnections satisfy matching conditions and the proposed control law for interconnected systems is implemented independently of the delay term, and dynamics of the system with dead zone input is dominated by the sliding mode.

The line of reasoning is based on the Lyapunov function approach and the proposed design guarantees the global reaching condition of the sliding mode and the invariance condition holds. Two numerical examples are given to verify the effectiveness of the proposed design procedure.

The line of reasoning is based on the Lyapunov function approach and the proposed design guarantees the global reaching condition of the sliding mode and the invariance condition holds. Two numerical examples are given to verify the effectiveness of the proposed design procedure.

Reviewer: A. Šwierniak (Gliwice)

##### MSC:

93A14 | Decentralized systems |

93C10 | Nonlinear systems in control theory |

93B51 | Design techniques (robust design, computer-aided design, etc.) |

93A15 | Large-scale systems |

93C23 | Control/observation systems governed by functional-differential equations |

93C41 | Control/observation systems with incomplete information |

##### Keywords:

Decentralized variable structure control; Uncertain large-scale systems; Time-delayed systems; Dead-zone control
PDF
BibTeX
XML
Cite

\textit{K.-K. Shyu} et al., Automatica 41, No. 7, 1239--1246 (2005; Zbl 1080.93003)

Full Text:
DOI

##### References:

[1] | Corfmat, J.; Morse, S., On the decentralized control of linear multivariable systems, Automatica, 12, 479-495, (1989) · Zbl 0347.93019 |

[2] | Hsu, K.C., Decentralized variable structure model-following adaptive control for interconnected systems with series nonlinearities, International journal of systems science, 29, 4, 365-372, (1998) |

[3] | Hsu, K.C., Decentralized sliding mode control for large-scale time-delayed systems with series nonlinearities, ASME journal of dynamic systems, measurement, and control, 121, 708-713, (1999) |

[4] | Hung, J.Y.; Gao, W.B.; Hung, J.C., Variable structure control: A survey, IEEE transactions on industrial electronics, 40, 2-22, (1993) |

[5] | Khurana, H.; Ashon, S.; Lamba, S., On stabilization of large-scale control systems using variable structure system theory, IEEE transactions on automatic control, 31, 176-178, (1986) · Zbl 0583.93005 |

[6] | Luo, N.; Dela Sen, M.; Rodellar, J., Robust stabilization of a class of uncertain time delay systems in sliding mode, International journal of robust and nonlinear control, 7, 59-74, (1997) · Zbl 0878.93055 |

[7] | Matthews, G.; DeCarlo, R., Decentralized tracking for a class of interconnected nonlinear systems using variable structure control, Automatica, 24, 187-193, (1988) · Zbl 0644.93006 |

[8] | Recker, D., Indirect adaptive nonlinear control of discrete-time systems containing a deadzone, International journal of adaptive control and signal processing, 11, 1, 33-48, (1997) · Zbl 0867.93047 |

[9] | Shyu, K.K.; Chen, Y.C., Robust tracking and model following for uncertain time-delay systems, International journal of control, 62, 589-600, (1995) · Zbl 0830.93026 |

[10] | Tao, G.; Kokotovic, P.V., Adaptive control of plants with unknown dead-zone, IEEE transactions on automatic control, AC-39, 1, 59-68, (1994) · Zbl 0796.93070 |

[11] | Utkin, V. I., 1978. Sliding modes and their applications in variable structure systems. Moscow: MIR Editors. · Zbl 0398.93003 |

[12] | Yan, J.; Tsai, J.S.; Kung, F., Robust decentralized stabilization of large-scale delay systems via sliding mode control, ASME journal of dynamic systems, measurement, and control, 119, 307-312, (1997) · Zbl 0882.93002 |

[13] | Young, K.D.; Utkin, V.I.; Özgüner, Ü., A control Engineer’s guide to sliding mode control, IEEE transactions on control systems technology, 7, 3, 328-342, (1999) |

[14] | Zohdy, M.; Fadali, M.; Liu, J., Variable structure control using system decomposition, IEEE transactions on automatic control, 37, 1514-1517, (1992) · Zbl 0770.93015 |

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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.