Controller Synthesis for Constrained Flight Systems via Receding Horizon Optimization

Receding horizon control allows a blending of navigation and control functions at the inner and outer loop levels and significantly enhances the ability of the control system to react to complex dynamic and environmental constraints. In this paper, we explore some of the limits of receding horizon control, including the extent to which traditional control specifications can be cast as RHC problem specifications. Simulation results for a planar flight vehicle with representative flight dynamics illustrate the main features of the proposed approach.

[1]  Mark B. Milam,et al.  A new computational approach to real-time trajectory generation for constrained mechanical systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[2]  P. Kokotovic,et al.  CLF based designs with robustness to dynamic input uncertainties , 1999 .

[3]  R. E. Kalman,et al.  When Is a Linear Control System Optimal , 1964 .

[4]  R. Bitmead,et al.  Fake Riccati equations for stable receding-horizon control , 1997, 1997 European Control Conference (ECC).

[5]  William B. Dunbar,et al.  Online Control Customization via Optimization‐Based Control , 2003 .

[6]  R. Murray,et al.  Agreement problems in networks with directed graphs and switching topology , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[7]  R. Murray,et al.  Consensus protocols for networks of dynamic agents , 2003, Proceedings of the 2003 American Control Conference, 2003..

[8]  Eduardo Sontag A universal construction of Artstein's theorem on nonlinear stabilization , 1989 .

[9]  John Doyle,et al.  A receding horizon generalization of pointwise min-norm controllers , 2000, IEEE Trans. Autom. Control..

[10]  Jie Yu,et al.  Unconstrained receding-horizon control of nonlinear systems , 2001, IEEE Trans. Autom. Control..

[11]  S. Joe Qin,et al.  A survey of industrial model predictive control technology , 2003 .

[12]  P. Gill,et al.  User's Guide for SOL/NPSOL: A Fortran Package for Nonlinear Programming. , 1983 .

[13]  L. Singh,et al.  Trajectory generation for a UAV in urban terrain, using nonlinear MPC , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[14]  B. Anderson,et al.  Nonlinear regulator theory and an inverse optimal control problem , 1973 .

[15]  Richard M. Murray,et al.  Receding horizon control of vectored thrust flight experiment , 2005 .

[16]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..