Command Filter-Based Control for Spacecraft Attitude Tracking With Pre-Defined Maximum Settling Time Guaranteed

For the on-orbit service spacecraft attitude tracking task with external disturbances, considering the limited capacity of its actuators and high control performance required, an improved performance constraint control algorithm based on command filters is proposed in this paper. For the proposed control algorithm, before the theoretical control signal is transmitted to the actuator, it needs to be filtered by the command filter. This filter can constrain the rate, magnitude, and bandwidth of the signals, smooth the command signals and avoid peak interference. In terms of performance constraints, inspired by the performance constraint curve, this paper uses the determined points to re-design a new performance constraint function, which shows the maximum settling time parameters, allowing designers to pre-defined this limited time of the closed-loop system according to needs. Therefore, the maximum settling time of the actual closed-loop system will be less than the pre-defined maximum settling time. The controller based on the command filter is designed, and on this basis, the corresponding performance-constrained control algorithm with pre-defined maximum settling time guaranteed is proposed. Through the proof and simulation, the rationality and effectiveness of the proposed controller are further demonstrated.

[1]  Abhisek Ukil,et al.  Nonlinear Excitation Control of Diesel Generator: A Command Filter Backstepping Approach , 2021, IEEE Transactions on Industrial Informatics.

[2]  Lin Yan,et al.  A variable structure MRAC with expected transient and steady-state performance , 2006, Autom..

[3]  Hassan K. Khalil,et al.  Funnel control for nonlinear systems with arbitrary relative degree using high-gain observers , 2019, Autom..

[4]  Marios M. Polycarpou,et al.  Adaptive backstepping with magnitude, rate, and bandwidth constraints: aircraft longitude control , 2003, Proceedings of the 2003 American Control Conference, 2003..

[5]  Xiaoxiang Hu,et al.  Command filtered adaptive fuzzy backstepping control method of uncertain non-linear systems , 2016 .

[6]  Hans Schuster,et al.  PI-Funnel Control for Two Mass Systems , 2009, IEEE Transactions on Automatic Control.

[7]  Yongduan Song,et al.  Prescribed Performance Control of Uncertain Euler–Lagrange Systems Subject to Full-State Constraints , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[8]  Charalampos P. Bechlioulis,et al.  Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems , 2009, Autom..

[9]  Hongjing Liang,et al.  Prescribed Performance Cooperative Control for Multiagent Systems With Input Quantization , 2020, IEEE Transactions on Cybernetics.

[10]  Jan Albert Mulder,et al.  Nonlinear Flight Control Design Using Constrained Adaptive Backstepping , 2007 .

[11]  U. Walter Spacecraft Attitude Dynamics , 2018 .

[12]  Shuzhi Sam Ge,et al.  Two-Layer Distributed Formation-Containment Control of Multiple Euler–Lagrange Systems by Output Feedback , 2019, IEEE Transactions on Cybernetics.

[13]  Xiaoping Liu,et al.  Adaptive Finite-Time Fuzzy Funnel Control for Nonaffine Nonlinear Systems , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[14]  Lihua Xie,et al.  Time-Synchronized Control for Disturbed Systems , 2021, IEEE Transactions on Cybernetics.

[15]  Dimos V. Dimarogonas,et al.  Prescribed Performance Control Guided Policy Improvement for Satisfying Signal Temporal Logic Tasks , 2019, 2019 American Control Conference (ACC).

[16]  Changchun Hua,et al.  Leader-follower finite-time formation control of multiple quadrotors with prescribed performance , 2017, Int. J. Syst. Sci..

[17]  Jianping Yuan,et al.  Leader‐following consensus of second‐order multi‐agent systems with arbitrarily appointed‐time prescribed performance , 2018, IET Control Theory & Applications.

[18]  Qiang Cong,et al.  On-orbit service (OOS) of spacecraft: A review of engineering developments , 2019, Progress in Aerospace Sciences.

[19]  Chuanjiang Li,et al.  Observer-based prescribed performance attitude control for flexible spacecraft with actuator saturation. , 2019, ISA transactions.

[20]  Charalampos P. Bechlioulis,et al.  Prescribed Performance Adaptive Control for Multi-Input Multi-Output Affine in the Control Nonlinear Systems , 2010, IEEE Transactions on Automatic Control.

[21]  Yu Guo,et al.  Adaptive Prescribed Performance Motion Control of Servo Mechanisms with Friction Compensation , 2014, IEEE Transactions on Industrial Electronics.

[22]  Mohammad Mahdi Arefi,et al.  Neuro-adaptive command filter control of stochastic time-delayed nonstrict-feedback systems with unknown input saturation , 2020, J. Frankl. Inst..

[23]  Jianbin Qiu,et al.  Command Filter-Based Adaptive NN Control for MIMO Nonlinear Systems With Full-State Constraints and Actuator Hysteresis , 2020, IEEE Transactions on Cybernetics.

[24]  J. Junkins,et al.  Analytical Mechanics of Space Systems , 2003 .

[25]  An-Min Zou,et al.  Finite-Time Output Feedback Attitude Tracking Control for Rigid Spacecraft , 2014, IEEE Transactions on Control Systems Technology.

[26]  Daniel E. Miller,et al.  An adaptive controller which provides an arbitrarily good transient and steady-state response , 1991 .

[27]  Yingmin Jia,et al.  Decentralized adaptive attitude synchronization control for spacecraft formation using nonsingular fast terminal sliding mode , 2014 .

[28]  Chuanjiang Li,et al.  Finite-time output feedback attitude control for spacecraft using “Adding a power integrator” technique , 2017 .

[29]  Charalampos P. Bechlioulis,et al.  Robust Adaptive Control of Feedback Linearizable MIMO Nonlinear Systems With Prescribed Performance , 2008, IEEE Transactions on Automatic Control.

[30]  Romeo Ortega,et al.  Adaptive motion control of rigid robots: a tutorial , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[31]  Shaocheng Tong,et al.  A Novel Adaptive NN Prescribed Performance Control for Stochastic Nonlinear Systems , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[32]  Shaocheng Tong,et al.  Adaptive Fuzzy Prescribed Performance Control of Nontriangular Structure Nonlinear Systems , 2020, IEEE Transactions on Fuzzy Systems.

[33]  David J. Hill,et al.  Prescribed-Time Consensus and Containment Control of Networked Multiagent Systems , 2019, IEEE Transactions on Cybernetics.

[34]  Jianjun Luo,et al.  Robust prescribed performance control for Euler-Lagrange systems with practically finite-time stability , 2020, Eur. J. Control.

[35]  George A. Rovithakis,et al.  Prescribed performance tracking for flexible joint robots with unknown dynamics and variable elasticity , 2013, Autom..

[36]  Marios M. Polycarpou,et al.  Command filtered backstepping , 2009, 2008 American Control Conference.

[37]  Bing Liu,et al.  A Decoupling Approach for Observer-Based Controller Design of T–S Fuzzy System With Unknown Premise Variables , 2021, IEEE Transactions on Fuzzy Systems.

[38]  Daniel Liberzon,et al.  The Bang-Bang Funnel Controller for Uncertain Nonlinear Systems With Arbitrary Relative Degree , 2013, IEEE Transactions on Automatic Control.

[39]  Petros A. Ioannou,et al.  Robust adaptive control for a class of MIMO nonlinear systems with guaranteed error bounds , 2003, IEEE Trans. Autom. Control..