Combustion chamber pressure control based on mixed H∞-describing function approach

Abstract A new single range controller design approach for use with nonlinear liquid propellant engines (LPE) is developed. The approach is based on a describing function model of the nonlinear LPE coupled with the application of the H ∞ control theory. The approach is applicable to nonlinear LPEs of a general nature without any restrictions on nonlinearity type, number of nonlinear terms, nonlinearity arrangement, or system order. The approach is applied to an existing nonlinear LPE, and the results are compared with those obtained with an alternative method that was previously reported in the open literature.

[1]  H. Karimi,et al.  Controller Synthesis Methodology for Multivariable Nonlinear Systems With Application to Aerospace , 2004 .

[2]  A. Nassirharand Design of Dual-Range Linear Controllers for Nonlinear Systems , 1991 .

[3]  Hassan Karimi,et al.  Nonlinear controller synthesis based on inverse describing function technique in the MATLAB environment , 2006, Adv. Eng. Softw..

[4]  P. Khargonekar,et al.  State-space solutions to standard H2 and H∞ control problems , 1988, 1988 American Control Conference.

[5]  P. Khargonekar,et al.  State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[6]  Amir Nassirharand,et al.  Design of Nonlinear Lead and/or Lag Compensators , 2008 .

[7]  K. L. Strobel,et al.  Nonlinear Compensator Synthesis via Sinusoidal-Input Describing Functions , 1985, 1985 American Control Conference.

[8]  H. Karimi,et al.  Application of a simulation algorithm to a specific liquid propellant engine with experimental verification , 2006 .

[9]  Amir Nassirharand Identification of frequency domain models for nonlinear systems , 1988 .

[10]  H. Karimi,et al.  Input/output characterization of highly nonlinear multivariable systems , 2002 .

[11]  James H. Taylor,et al.  A Systematic Nonlinear Controller Design Approach based on Quasilinear System Models , 1983, 1983 American Control Conference.

[12]  H. Karimi,et al.  Dynamic and Nonlinear Simulation of Liquid-Propellant Engines , 2003 .

[13]  I.M. Horowitz Synthesis of feedback systems with nonlinear time-varying uncertain plants to satisfy quantitative performance specifications , 1976, Proceedings of the IEEE.