Robust controller design with general criteria for uncertain conic nonlinear systems with disturbances

A robust state feedback scheme is proposed to control a large class of continuous-time uncertain nonlinear systems with locally conic type nonlinearities and driven by finite energy disturbances. It is assumed that there is also uncertainty regarding the center and the boundary of the cone in which the nonlinearity resides in order to allow the robust control of systems whose models contain a higher degree of uncertainty. Results are presented for various performance criteria using linear matrix inequalities. Illustrative examples are included to demonstrate the efficiency of the proposed approach.

[1]  Engin Yaz,et al.  Mixed criteria control design with finite-time boundedness and H∞ property for a class of discrete-time nonlinear systems , 2011, IEEE Conference on Decision and Control and European Control Conference.

[2]  Jun Zhao,et al.  Robust H∞ control for a class of uncertain switched nonlinear systems using constructive approach , 2008, 2008 American Control Conference.

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

[4]  L. Chua,et al.  A universal circuit for studying and generating chaos. I. Routes to chaos , 1993 .

[5]  Li Yufen,et al.  Robust H ∞ control for a class of nonlinear singular system with uncertain parameters , 2009 .

[6]  Shuxian Lun,et al.  H∞ robust fault tolerant control for a class of nonlinear systems with uncertainties and time-varying delays , 2010, 2010 Chinese Control and Decision Conference.

[7]  Mohammad N. ElBsat,et al.  Finite-time control and estimation of nonlinear systems with disturbance attenuation , 2012 .

[8]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[9]  P. Olver.  Nonlinear Systems , 2013 .

[11]  Engin Yaz,et al.  Sliding-Mode Adaptive Observer Approach to Chaotic Synchronization , 2000 .

[12]  Zhong-Ping Jiang,et al.  Control Lyapunov Functionals and robust stabilization of nonlinear time-delay systems , 2008, 2008 47th IEEE Conference on Decision and Control.

[13]  Li Yang,et al.  Non-fragile Guaranteed-Cost Robust H-infinity Control for a Class of Nonlinear Networked Control Systems with Long Time-Delay , 2010, 2010 International Conference on Intelligent Computation Technology and Automation.

[14]  Youmin Zhang,et al.  An LMI approach to mixed H1/H∞ robust fault-tolerant control design with uncertainties , 2009, 2009 American Control Conference.