Robust non-fragile finite-frequency H∞ static output-feedback control for active suspension systems

Abstract This paper deals with the problem of non-fragile H ∞ static output-feedback control of vehicle active suspension systems with finite-frequency constraint. The control objective is to improve ride comfort within the given frequency range and ensure the hard constraints in the time-domain. Moreover, in order to enhance the robustness of the controller, the control gain perturbation is also considered in controller synthesis. Firstly, a new non-fragile H ∞ finite-frequency control condition is established by using generalized Kalman-Yakubovich-Popov (GKYP) lemma. Secondly, the static output-feedback control gain is directly derived by using a non-iteration algorithm. Different from the existing iteration LMI results, the static output-feedback design is simple and less conservative. Finally, the proposed control algorithm is applied to a quarter-car active suspension model with actuator dynamics, numerical results are made to show the effectiveness and merits of the proposed method.

[1]  Hamid Reza Karimi,et al.  Output-Feedback-Based $H_{\infty}$ Control for Vehicle Suspension Systems With Control Delay , 2014, IEEE Transactions on Industrial Electronics.

[2]  Fuad E. Alsaadi,et al.  Nonlinear tracking control based on extended state observer for vehicle active suspensions with performance constraints , 2015 .

[3]  Honghai Liu,et al.  Non-fragile H∞ control for half-vehicle active suspension systems with actuator uncertainties , 2013 .

[4]  Weichao Sun,et al.  Vibration control for active seat suspension systems via dynamic output feedback with limited frequency characteristic , 2011 .

[5]  Huijun Gao,et al.  Robust control synthesis for seat suspension systems with actuator saturation and time-varying input delay , 2010 .

[6]  Xingjian Jing,et al.  Frequency-Domain Analysis and Design of Linear Feedback of Nonlinear Systems and Applications in Vehicle Suspensions , 2016, IEEE/ASME Transactions on Mechatronics.

[7]  Bin Yang,et al.  Non-fragile multi-objective static output feedback control of vehicle active suspension with time-delay , 2014 .

[8]  P. D. Shendge,et al.  Disturbance observer based sliding mode control of active suspension systems , 2014 .

[9]  Nurkan Yagiz,et al.  Backstepping control of a vehicle with active suspensions , 2008 .

[10]  P. D. Shendge,et al.  An inertial delay observer-based sliding mode control for active suspension systems , 2016 .

[11]  Hong Chen,et al.  Disturbance attenuation control of active suspension with non-linear actuator dynamics , 2011 .

[12]  Honghai Liu,et al.  Fault-tolerant H∞ control for active suspension vehicle systems with actuator faults , 2012, J. Syst. Control. Eng..

[13]  Hamid Reza Karimi,et al.  Optimization and finite-frequency H∞ control of active suspensions in in-wheel motor driven electric ground vehicles , 2015, J. Frankl. Inst..

[14]  Yang Shi,et al.  Robust finite frequency H∞ static-output-feedback control with application to vibration active control of structural systems , 2014 .

[15]  Ruey-Jing Lian,et al.  Design of a grey-prediction self-organizing fuzzy controller for active suspension systems , 2013, Appl. Soft Comput..

[16]  Shinji Hara,et al.  Generalized KYP lemma: unified frequency domain inequalities with design applications , 2005, IEEE Transactions on Automatic Control.

[17]  Yifu Zhang,et al.  Multi-objective control for uncertain nonlinear active suspension systems , 2014 .

[18]  James Lam,et al.  Multi-objective control for active vehicle suspension with wheelbase preview , 2014 .

[19]  Hamid Reza Karimi,et al.  Static output-feedback control under information structure constraints , 2013, Autom..

[20]  Hamid Reza Karimi,et al.  Feasibility issues in static output-feedback controller design with application to structural vibration control , 2014, J. Frankl. Inst..

[21]  Huijun Gao,et al.  Active Suspension Control With Frequency Band Constraints and Actuator Input Delay , 2012, IEEE Transactions on Industrial Electronics.

[22]  Musa Mailah,et al.  Vehicle active suspension system using skyhook adaptive neuro active force control , 2009 .

[23]  Huijun Gao,et al.  Finite Frequency H∞ Control for Vehicle Active Suspension Systems , 2011 .

[24]  Gang Wang,et al.  Optimization and static output-feedback control for half-car active suspensions with constrained information , 2016 .

[25]  Yunqing Zhang,et al.  A dynamic sliding-mode controller with fuzzy adaptive tuning for an active suspension system , 2007 .

[26]  Konghui Guo,et al.  Constrained H/sub /spl infin// control of active suspensions: an LMI approach , 2005, IEEE Transactions on Control Systems Technology.

[27]  Kisaburo Hayakawa,et al.  Application of H∞ control to active suspension systems , 1994, Autom..

[28]  Henk Nijmeijer,et al.  Robust control of an electromagnetic active suspension system: Simulations and measurements , 2013 .

[29]  Fazel Naghdy,et al.  Robust control of vehicle electrorheological suspension subject to measurement noises , 2011 .

[30]  Jing Na,et al.  Adaptive control of nonlinear uncertain active suspension systems with prescribed performance. , 2015, ISA transactions.

[31]  Jaime A. Moreno,et al.  Strict Lyapunov Functions for the Super-Twisting Algorithm , 2012, IEEE Transactions on Automatic Control.

[32]  Huijun Gao,et al.  Adaptive Robust Vibration Control of Full-Car Active Suspensions With Electrohydraulic Actuators , 2013, IEEE Transactions on Control Systems Technology.

[33]  Rongrong Wang,et al.  Robust H∞ output-feedback control for path following of autonomous ground vehicles , 2016 .

[34]  Huajiang Ouyang,et al.  Static output feedback for partial eigenstructure assignment of undamped vibration systems , 2016 .

[35]  Huijun Gao,et al.  Finite Frequency $H_{\infty }$ Control for Vehicle Active Suspension Systems , 2011, IEEE Transactions on Control Systems Technology.

[36]  Amir Amini,et al.  Robust fixed-order dynamic output feedback controller design for nonlinear uncertain suspension system , 2016 .

[37]  A. Carcaterra,et al.  VFC – Variational Feedback Controller and its application to semi-active suspensions , 2016 .

[38]  Rongrong Wang,et al.  Robust fault-tolerant H ∞ control of active suspension systems with finite-frequency constraint , 2015 .

[39]  James Lam,et al.  Multi-objective control of vehicle active suspension systems via load-dependent controllers , 2006 .