H∞ sampled-data fuzzy control for attitude tracking of mars entry vehicles with control constraints

Abstract In this paper, the problem of designing an H ∞ sampled-data fuzzy controller is investigated for attitude tracking of Mars entry vehicles with control constraints. Initially, to overcome the difficulty of Takagi-Sugeno (T-S) fuzzy modeling, the original nonlinear error system is divided into a fast subsystem and a slow subsystem on the basis of two time-scale decomposition technique, where the fast subsystem describes the attitude dynamics and the slow subsystem describes the attitude kinematics. Dynamic inversion control method is subsequently employed to obtain the angular velocity command for the slow subsystem. Then, based on the angular velocity command and the T-S fuzzy model of the fast subsystem, a tracking error fuzzy system is derived for the sampled-data fuzzy control design. The existence condition of the constrained H ∞ sampled-data fuzzy controllers is provided in terms of linear matrix inequalities (LMIs). The proposed controller can exponentially stabilize the original nonlinear error system with an H ∞ tracking performance, provided that the timescale separation between the fast and slow subsystems is valid. Finally, simulation results illustrate the effectiveness of the proposed method.

[1]  Kun Liu,et al.  A stabilized optimal nonlinear feedback control for satellite attitude tracking , 2013 .

[2]  Hamid Reza Karimi,et al.  Numerically efficient approximations to the optimal control of linear singularly perturbed systems based on Haar wavelets , 2005, Int. J. Comput. Math..

[3]  Bo Jiang,et al.  Attitude tracking of mars entry vehicles via fuzzy sampled-data control approach , 2014, 53rd IEEE Conference on Decision and Control.

[4]  Zengqi Sun,et al.  Fuzzy tracking control design for hypersonic vehicles via T-S model , 2011, Science China Information Sciences.

[5]  Shihua Li,et al.  Finite-Time Attitude Tracking Control of Spacecraft With Application to Attitude Synchronization , 2011, IEEE Transactions on Automatic Control.

[6]  Jianbin Qiu,et al.  A Switched System Approach to Exponential Stabilization of Sampled-Data T–S Fuzzy Systems With Packet Dropouts , 2016, IEEE Transactions on Cybernetics.

[7]  Huai-Ning Wu,et al.  Robust $L_{\bm \infty}$-Gain Fuzzy Disturbance Observer-Based Control Design With Adaptive Bounding for a Hypersonic Vehicle , 2014, IEEE Transactions on Fuzzy Systems.

[8]  David Zhang,et al.  Improved robust H2 and Hinfinity filtering for uncertain discrete-time systems , 2004, Autom..

[9]  Huai-Ning Wu,et al.  Finite dimensional guaranteed cost sampled-data fuzzy control for a class of nonlinear distributed parameter systems , 2016, Inf. Sci..

[10]  Nanning Zheng,et al.  Event-triggered fuzzy H∞ control for a class of nonlinear networked control systems using the deviation bounds of asynchronous normalized membership functions , 2014, Inf. Sci..

[11]  Emilia Fridman,et al.  An improved delay-dependent H∞ filtering of linear neutral systems , 2004, IEEE Trans. Signal Process..

[12]  Rongrong Wang,et al.  Actuator and sensor faults estimation based on proportional integral observer for TS fuzzy model , 2017, J. Frankl. Inst..

[13]  Emilia Fridman,et al.  Robust sampled-data stabilization of linear systems: an input delay approach , 2004, Autom..

[14]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[15]  Bing Chen,et al.  Adaptive control for nonlinear MIMO time-delay systems based on fuzzy approximation , 2013, Inf. Sci..

[16]  Huijun Gao,et al.  Stabilization of Nonlinear Systems Under Variable Sampling: A Fuzzy Control Approach , 2007, IEEE Transactions on Fuzzy Systems.

[17]  Han-Xiong Li,et al.  H$_{\infty}$ Fuzzy Observer-Based Control for a Class of Nonlinear Distributed Parameter Systems With Control Constraints , 2008, IEEE Transactions on Fuzzy Systems.

[18]  Naser Pariz,et al.  Adaptive Fault-Tolerant Spacecraft Attitude Control Design With Transient Response Control , 2014, IEEE/ASME Transactions on Mechatronics.

[19]  Gang Feng,et al.  Analysis and Synthesis of Fuzzy Control Systems , 2010 .

[20]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[21]  Juan R. Castro,et al.  A comparative study of type-1 fuzzy logic systems, interval type-2 fuzzy logic systems and generalized type-2 fuzzy logic systems in control problems , 2016, Inf. Sci..

[22]  Wei Xing Zheng,et al.  An Improved Stabilization Method for Sampled-Data Control Systems With Control Packet Loss , 2012, IEEE Transactions on Automatic Control.

[23]  Bo Jiang,et al.  Fuzzy attitude tracking control for mars entry vehicles with external disturbance , 2014, CCC 2014.

[24]  Yuanqing Xia,et al.  Active disturbance rejection control for drag tracking in mars entry guidance , 2014 .

[25]  Dimiter Driankov,et al.  A fuzzy gain-scheduler for the attitude control of an unmanned helicopter , 2004, IEEE Transactions on Fuzzy Systems.

[26]  Huai-Ning Wu,et al.  Disturbance observer based reliable H ∞ fuzzy attitude tracking control for Mars entry vehicles with actuator failures , 2018, Aerospace Science and Technology.

[27]  Chin-Hsing Cheng,et al.  Application of Fuzzy Controllers for Spacecraft Attitude Control , 2009, IEEE Transactions on Aerospace and Electronic Systems.

[28]  Xiefu Jiang,et al.  On sampled-data fuzzy control design approach for T-S model-based fuzzy systems by using discretization approach , 2015, Inf. Sci..

[29]  Ho Jae Lee,et al.  Sampled-data observer-based output-feedback fuzzy stabilization of nonlinear systems: Exact discrete-time design approach , 2012, Fuzzy Sets Syst..

[30]  John Valasek,et al.  Fault‐tolerant control allocation for Mars entry vehicle using adaptive control , 2011 .

[31]  Huai-Ning Wu,et al.  On Fuzzy Sampled-Data Control of Chaotic Systems Via a Time-Dependent Lyapunov Functional Approach , 2015, IEEE Transactions on Cybernetics.

[32]  John Valasek,et al.  Structured Adaptive Model Inversion Controller for Mars Atmospheric Flight , 2007 .

[33]  R. Mitcheltree,et al.  Mars Science Laboratory entry, descent, and landing system , 2006, 2006 IEEE Aerospace Conference.

[34]  Yuanqing Xia,et al.  Adaptive attitude tracking control for rigid spacecraft with finite-time convergence , 2013, Autom..

[35]  Lei Guo,et al.  Finite-Horizon Approximate Optimal Guaranteed Cost Control of Uncertain Nonlinear Systems With Application to Mars Entry Guidance , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[36]  Jun Yoneyama,et al.  Robust sampled-data stabilization of uncertain fuzzy systems via input delay approach , 2012, Inf. Sci..

[37]  Kai-Yuan Cai,et al.  Robust fuzzy control for uncertain discrete-time nonlinear Markovian jump systems without mode observations , 2007, Inf. Sci..

[38]  Kazuo Tanaka,et al.  Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach , 2008 .

[39]  Hamid Reza Karimi,et al.  Sliding Mode Control of Fuzzy Singularly Perturbed Systems With Application to Electric Circuit , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[40]  Robert D. Braun,et al.  Extension of Traditional Entry, Descent, and Landing Technologies for Human Mars Exploration , 2008 .

[41]  Ligang Wu,et al.  Fuzzy guaranteed cost tracking control for a flexible air-breathing hypersonic vehicle , 2012 .

[42]  Prasun N. Desai,et al.  Mars exploration rovers entry, descent, and landing trajectory analysis , 2007 .

[43]  Peng Shi,et al.  Sampled-Data Fuzzy Control of Chaotic Systems Based on a T–S Fuzzy Model , 2014, IEEE Transactions on Fuzzy Systems.

[44]  Hamid Reza Karimi,et al.  An ant colony optimization-based fuzzy predictive control approach for nonlinear processes , 2015, Inf. Sci..

[45]  R. Manning,et al.  Mars Exploration Entry, Descent, and Landing Challenges , 2007 .

[46]  Dong Yue,et al.  An Improved Input Delay Approach to Stabilization of Fuzzy Systems Under Variable Sampling , 2012, IEEE Transactions on Fuzzy Systems.