Missile autopilot design via a multi-channel LFT/LPV control method
World Congress, Volume # 15 | Part# 1
Authors
Paulo C. Pellanda; Pierre Apkarian; Hoang Duong Tuan; Daniel Alazard
Digital Object Identifier (DOI)
10.3182/20020721-6-ES-1901.01571
Page Numbers:
1569-1569
Index Terms
missile autopilots,LPV synthesis,LFT,mixed H2/H˞,multi-channel control,gain scheduling
Abstract
The missile pitch-axis autopilot design is revisited using a new and recently available LPV control technique. The missile plant model is characterized by an LFT representation. The synthesis task is conducted by exploiting new capabilities of the LPV method: a set of H2/H∞ criteria is considered and different Lyapunov and scaling variables are used for each channel/specification. The method is shown to provide additional flexibility to tradeoff conflicting and demanding performance and robustness specifications for the missile while preserving the practical advantage of previous single-objective LPV methods.
References
[1] Apkarian, P. and P. Gahinet (1995). A Convex Characterization
of Gain-Scheduled H∞ Controllers.
IEEE Trans. Automat. Contr. 40(5), 853-864. See
also pp. 1681.
[2] Apkarian, P. and R. Adams (1998). Advanced Gain-Scheduling
Techniques for Uncertain Systems.
IEEE Trans. Contr. Syst. Technology 6, 21-32.
[3] Apkarian, P., P. C. Pellanda and H. D. Tuan (2000).
Mixed H2 /H∞ Multi-Channel Linear Parameter-Varying
Control in Discrete Time. Syst. & Contr.
Let. 41, 333-346.
[4] Boyd, S., L. E. Ghaoui, E. Feron and V. Balakrishnan
(1994). Linear Matrix Inequalities in Systems
and Control Theory. Vol. 15. SIAM Studies in
Applied Mathematics.
[5] de Oliveira, M. C., J. C. Geromel and J. Bernussou
(1999). An LMI Optimization Approach to Multiobjective
Controller Design for Discrete-Time
Systems. in Proc. IEEE Conf. on Dec. and Contr.,
Phoenix, AZ pp. 3611-3616.
[6] Gahinet, P., A. Nemirovski, A. J. Laub and M. Chilali
(1994). LMI Contr. Toolbox. The MathWorks Inc.
[7] Nichols, R. A., R. T. Reichert and W. J. Rugh (1993).
Gain Scheduling for H∞ Controllers: a Flight
Control Example. IEEE Trans. Contr. Syst. Technology
1(2), 69-79.
[8] Packard, A. (1994). Gain-Scheduling via Linear Fractional
Transformations. System & Control Letters
22, 79-92.
[9] Pellanda, P. C., P. Apkarian and H. D. Tuan (2001).
Missile Autopilot Design Via a Multi-Channel
LFT/LPV Control Method. Int J. Rob. Nonlin.
Contr 12(1), 1-20.
[10] Reichert, R. T. (1992). Dynamic Scheduling of
Modern-Robust-Control Autopilot Designs for
Missiles. IEEE Contr. Syst. Mag. 12(5), 35-42.
[11] Scherer, C., P. Gahinet and M. Chilali (1997). Multi-Objective
Output-Feedback Control via LMI Optimization.
IEEE Trans. Aut. Contr. 42, 896-911.
[12] Schumacher, C. and P. P. Khargonekar (1998). Missile
Autopilot Designs Using H∞ Control with Gain
Scheduling and Dynamic Inversion. AIAA-JGCD
21(2), 234-243.
[13] Shamma, J. S. and J. Cloutier (1993). Gain-Scheduled
Missile Autopilot Design Using Linear Parameter
Varying Transformations. AIAA-JGCD
16(2), 256-263.
[14] Tan, W., A. Packard and G. Balas (2000). Quasi-LPV
Modeling and LPV Control of a Generic Missile.
in Proc. Amer. Contr. Conf., Chicago, Illinois
pp. 3692-3696.
[15] Wu, F., A. Packard and G. Balas (1995a). LPV Control
Design for Pitch-Axis Missile Autopilots. in
Proc. IEEE Conf. Decision Contr., New Orleans,
LA vol. 1, 188-193.
[16] Wu, F., X. Yang, A. Packard and G. Becker (1995b).
Induced L2 -Norm Control for LPV System with
Bounded Parameter Variations Rates. in Proc.
Amer. Contr. Conf., Seattle, WA pp. 2379-2383.
