Robust control for a class of nonlinear systems with time-varying delays based on dissipative analysis

This paper focuses on the problems of robust control for nonlinear systems with time-delay based on dissi­pative analysis.The nonlinear parameters satisfied Lipschitz conditions.The objective is to design a feedback controller achieving strict quadratic dissipativeness.By constructing a Lyapunov-Krasovskii functional,together with the definition of dissipativity and line matrix inequality (LMI)techniques,some sufficient conditions which include delay-independent and delay-dependent dissipativity criteria are obtained in the form as LMI based on feasibility tests.The free weight matrix is also introduced to reduce the conservatism of the sufficient conditions. Finally,an numerical example with simulations is given to show the correctness of the derived results and the effectiveness of the proposed method.

[1]  Gnaneswaran Nagamani,et al.  Dissipativity and passivity analysis for discrete-time T-S fuzzy stochastic neural networks with leakage time-varying delays based on Abel lemma approach , 2016, J. Frankl. Inst..

[2]  Jun Song,et al.  Finite-time robust passive control for a class of uncertain Lipschitz nonlinear systems with time-delays , 2015, Neurocomputing.

[3]  Junfei Qiao,et al.  A self-organizing cascade neural network with random weights for nonlinear system modeling , 2016, Appl. Soft Comput..

[4]  Yan Shi,et al.  Dissipativity analysis and synthesis of a class of nonlinear systems with time-varying delays , 2009, J. Frankl. Inst..

[5]  Qingling Zhang,et al.  Dissipative analysis for nonlinear singular systems with time-delay , 2017 .

[6]  O. Nelles.  Nonlinear System Identification , 2001 .

[7]  Jürgen Adamy,et al.  On the Equivalence Between Strict Positive Realness and Strict Passivity of Linear Systems , 2016, IEEE Transactions on Automatic Control.

[8]  Vojtech Veselý,et al.  Robust switched controller design for linear continuous-time systems , 2015 .

[9]  Huijun Gao,et al.  Delay-independent stability analysis of linear time-delay systems based on frequency discretization , 2016, Autom..

[10]  Keum-Shik Hong,et al.  Stabilization and tracking control for a class of nonlinear systems , 2011 .

[11]  Zengyun Wang,et al.  H∞ Control for uncertain system with time-delay and nonlinear external disturbance via adaptive control method , 2010 .

[12]  Kemei Zhang,et al.  A new approach to finite-time adaptive stabilization of high-order uncertain nonlinear system , 2015, Autom..

[13]  Daoyi Dong,et al.  Robust H∞ controller design for a class of linear quantum systems with time delay , 2017 .

[14]  K. Mathiyalagan,et al.  Passivity of memristor-based BAM neural networks with different memductance and uncertain delays , 2016, Cognitive Neurodynamics.

[15]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[16]  Ju H. Park,et al.  Dissipativity analysis for singular systems with time-varying delays , 2011, Appl. Math. Comput..

[17]  Qingling Zhang,et al.  Reliable Dissipative Control for a Class of Uncertain Singular Markovian Jump Systems via Hybrid Impulsive Control , 2016 .

[18]  Yuanqing Xia,et al.  Robust dissipative control for internet-based switching systems , 2010, J. Frankl. Inst..

[19]  Lassi Paunonen,et al.  Controller Design for Robust Output Regulation of Regular Linear Systems , 2015, IEEE Transactions on Automatic Control.

[20]  Yimin Zhou,et al.  Resilient dissipative dynamic output feedback control for uncertain Markov jump Lur’e systems with time-varying delays , 2017 .

[21]  Yu Gao,et al.  Robust delay-feedback control for discrete-time stochastic interval systems with time-delay and Markovian jumps , 2017, 2017 Ninth International Conference on Advanced Computational Intelligence (ICACI).

[22]  Jianjun Bai,et al.  New delay-dependent robust stability criteria for uncertain neutral systems with mixed delays , 2014, J. Frankl. Inst..

[23]  James Lam,et al.  Robust H∞ control of uncertain Markovian jump systems with time-delay , 2000, IEEE Trans. Autom. Control..

[24]  Gi-Kwon Hyeon,et al.  A Nonlinear Robust Control of Robot Arm with Four Joints Based on Lyapunov Stability Analysis , 2015 .

[25]  Abdul-Wahid A. Saif,et al.  Robust design of dynamic controller for Nonlinear Networked Control Systems with packet dropout , 2015, 2015 IEEE International Conference on Control System, Computing and Engineering (ICCSCE).