Robust SMC for Uncertain Descriptor Time-Delay Systems: A Linear Switching Surface Approach

This paper studies robust H-infinity control issue for uncertain descriptor time-delay systems via sliding mode technique. Some important conditions for the existence of designed linear-type switching surface and robust performance of the underlying sliding motion are derived via linear matrix inequality approach, from which the corresponding adaptive variable structure controller is synthesized. And the result is extended to the case with multiple time-delays. The potential of the developed method is proved by an example.

[1]  Daniel W. C. Ho,et al.  Fault tolerant control for singular systems with actuator saturation and nonlinear perturbation , 2010, Autom..

[2]  Daniel W. C. Ho,et al.  Robust observer design for Itô stochastic time-delay systems via sliding mode control , 2006, Syst. Control. Lett..

[3]  M. Mahmoud,et al.  Stability and implementable ℋ∞ filters for singular systems with nonlinear perturbations , 2009 .

[4]  Huijun Gao,et al.  State Estimation and Sliding-Mode Control of Markovian Jump Singular Systems , 2010, IEEE Transactions on Automatic Control.

[5]  L. Dai,et al.  Singular Control Systems , 1989, Lecture Notes in Control and Information Sciences.

[6]  Cunchen Gao,et al.  On exponential stabilization for a class of neutral-type systems with parameter uncertainties: An integral sliding mode approach , 2013, Appl. Math. Comput..

[7]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[8]  Zhen Liu,et al.  A new result on observer-based sliding mode control design for a class of uncertain Ito^ stochastic delay systems , 2017, J. Frankl. Inst..

[9]  Shengyuan Xu,et al.  Robust Control and Filtering of Singular Systems , 2006 .

[10]  F. Gouaisbaut,et al.  Robust control of delay systems: A sliding mode control design via LMI , 2001, ECC.

[11]  Cheng Siong Chin,et al.  Robust Genetic Algorithm and Fuzzy Inference Mechanism Embedded in a Sliding-Mode Controller for an Uncertain Underwater Robot , 2018, IEEE/ASME Transactions on Mechatronics.

[12]  Craig Wheeler,et al.  Sliding-Mode Control of an Electromagnetic Actuated Conveyance System Using Contactless Sensing , 2013, IEEE Transactions on Industrial Electronics.

[13]  Wei Xing Zheng,et al.  Passivity-based sliding mode control of uncertain singular time-delay systems , 2009, Autom..