Globally stable nonlinear flight control system

The use of linear, constant feedback control in automatic flight control systems for aircraft inevitably gives rise to formidable design difficulties when attempting to satisfy the conflicting requirements for faithful tracking of a pilot's manoeuvre commands and maintaining the aircraft's trimmed attitude in the presence of atmospheric turbulence. Two nonlinear control policies, VICTOR and ZOC, are shown to provide superior performance and, when used simultaneously in the same flight control system, to assure global stability. Such stability obviates the need to provide adaptive control or gain-scheduling schemes to satisfy the flying quality requirements over the entire flight envelope of an aircraft. The potential performance of the nonlinear control is demonstrated by means of some results obtained from a digital simulation of a pitch-rate manoeuvre-demand system for a typical medium jet transport aircraft.

[1]  Duane T. McRuer A Feedback-Theory Analysis of Airframe Cross-Coupling Dynamics , 1962 .

[2]  C. J. Harris,et al.  Off-axis multivariable circle stability criterion , 1981 .

[3]  Herbert K Weiss Theory of automatic control of airplanes , 1939 .

[4]  I. Horowitz Synthesis of feedback systems , 1963 .

[5]  C. Desoer,et al.  Feedback Systems: Input-Output Properties , 1975 .

[6]  G. Jones On the step response of a class of third-order linear systems , 1967, IEEE Transactions on Automatic Control.

[7]  K. Narendra,et al.  An off-axis circle criterion for stability of feedback systems with a monotonic nonlinearity , 1968 .

[8]  C. J. Harris,et al.  Stability criteria for nonlinear multivariable systems , 1979 .

[9]  I. Horowitz,et al.  Superiority of transfer function over state-variable methods in linear time-invariant feedback system design , 1975 .

[10]  W. A. Johnson,et al.  Pilot's response to stability augmentation system failures and implications for design , 1968 .

[11]  M. Athans The Role and Use of the Stochastic Linear-Quadratic-Gaussian Problem in Control System , 1971 .

[12]  M. A. Athans,et al.  The role and use of the stochastic linear-quadratic-Gaussian problem in control system design , 1971 .

[13]  J. Willems,et al.  Stability theory of dynamical systems , 1970 .

[14]  Alexander Klemin,et al.  Longitudinal stability in relation to the use of an automatic pilot , 1938 .

[15]  C. A. Desoer,et al.  IV – LINEAR SYSTEMS , 1975 .

[16]  W. H. Phillips,et al.  Effect of steady rolling on longitudinal and directional stability , 1948 .

[17]  Duane T. McRuer,et al.  Aircraft Dynamics and Automatic Control , 1973 .

[18]  R H Macmillan Conditions for aperiodicity in linear systems , 1955 .

[19]  S. Mitter,et al.  Controllability, observability, pole allocation, and state reconstruction , 1971 .

[20]  Peter M. Schultheiss,et al.  Introduction for the design of servomechanisms , 1958 .

[21]  Fr Haus Automatic stability of airplanes , 1932 .

[22]  W Oppelt Comparison of automatic control systems , 1941 .

[23]  Chris P. Tsokos,et al.  Stability of controlled motion , 1969 .