A structured H∞-based optimization approach for integrated plant and self-scheduled flight control system design

Abstract This paper presents a new procedure for the integrated plant and flight control system design in the presence of parametric uncertainties. The proposed approach is based on a design procedure consisting in casting gain-scheduling and robustness requirements into the framework of structured H ∞ design. As both controller architecture and gain-scheduling structure are defined a priori , the scheduled gains can be tuned by the newly available MATLAB-based tool systune to minimize H ∞ constraints related to performance requirements over both operating and uncertain domains. It is shown that this technique allows for optimization and adjustment of plant's physical parameters while satisfying closed-loop performance requirements. The proposed procedure is applied to the F-16 Fighting Falcon flight control system design under mass and center of gravity uncertainties by adjusting the location of an additional accelerometer to optimize the closed-loop performance while minimizing the horizontal tail area. Numerical studies are carried out to evaluate the effectiveness of the proposed approach.

[1]  Damián Rivas,et al.  Propagation of Initial Mass Uncertainty in Aircraft Cruise Flight , 2011 .

[2]  Michael Athans,et al.  Analysis of gain scheduled control for nonlinear plants , 1990 .

[3]  Ouassima Akhrif,et al.  Gain scheduling with guardian maps for longitudinal flight control , 2011 .

[4]  Hugo Lhachemi,et al.  A Robust and Self-Scheduled Longitudinal Flight Control System: a Multi-Model and Structured H-infinity Approach , 2014 .

[5]  R. J. Niewoehner,et al.  Integrated aircraft-controller design using linear matrix inequalities , 1996 .

[6]  Guilhem Puyou,et al.  Tolerance of Aircraft Longitudinal Control to the Loss of Scheduling Information : Toward a Performance Oriented Approach , 2012, ROCOND.

[7]  William Leithead,et al.  Survey of gain-scheduling analysis and design , 2000 .

[8]  Joseph H. Morrison,et al.  Uncertainty in Computational Aerodynamics , 2003 .

[9]  E. Morelli.  Global nonlinear parametric modelling with application to F-16 aerodynamics , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[10]  Frank L. Lewis,et al.  Aircraft Control and Simulation , 1992 .

[11]  Pierre Apkarian,et al.  Decentralized and fixed-structure H∞ control in MATLAB , 2011, IEEE Conference on Decision and Control and European Control Conference.

[12]  J. C. Gibson.  The definition, understanding and design of aircraft handling qualities , 1995 .

[13]  Shuo Tang,et al.  Research on integrated optimization design of hypersonic cruise vehicle , 2008 .

[14]  Kai-Yew Lum,et al.  An optimization approach to integrated aircraft-controller design , 2003, Proceedings of the 2003 American Control Conference, 2003..

[15]  P. L. Deal,et al.  Simulator study of stall/post-stall characteristics of a fighter airplane with relaxed longitudinal static stability. [F-16] , 1979 .

[16]  Jing Zhang,et al.  Modeling and attitude control of aircraft with variations in mass and center of gravity , 2010, 2010 8th World Congress on Intelligent Control and Automation.

[17]  Pierre Apkarian,et al.  Nonsmooth H∞ synthesis , 2005, IEEE Trans. Autom. Control..

[18]  J.-F. Magni,et al.  A multimodel-based approach to robust and self-scheduled control design , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[19]  Wilson J. Rugh,et al.  Research on gain scheduling , 2000, Autom..

[20]  Ian Postlethwaite,et al.  Multivariable Feedback Control: Analysis and Design , 1996 .

[21]  Srikanth Sridharan,et al.  Integrated design and control of hypersonic vehicles , 2014, 2014 American Control Conference.

[22]  Kamal Youcef-Toumi,et al.  Modeling, design, and control integration: a necessary step in mechatronics , 1996 .

[23]  Roberto Celi,et al.  Integrated Rotor-Flight Control System Optimization with Aeroelastic and Handling Qualities Constraints , 1995 .

[24]  A. Galip Ulsoy,et al.  On the coupling between the plant and controller optimization problems , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[25]  Jian Liang Wang,et al.  An LMI-based optimization approach for integrated plant/output-feedback controller design , 2005, Proceedings of the 2005, American Control Conference, 2005..

[26]  Daniel Alazard,et al.  Avionics/Control co-design for large flexible space structures , 2013 .

[27]  Suresh M. Joshi,et al.  Integrated Controls-Structures Design Methodology for Flexible Spacecraft , 1995 .

[28]  I. Kaminer,et al.  Linear matrix inequalities in integrated aircraft/controller design , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[29]  Daniel Alazard,et al.  Optimal Co-Design for Earth Observation Satellites with Flexible Appendages , 2013 .

[30]  Robert C. Nelson,et al.  Flight Stability and Automatic Control , 1989 .

[31]  Pierre Apkarian,et al.  Structured H∞ Synthesis in MATLAB , 2011 .