Fixed-structure controller design for systems with actuator amplitude and rate non-linearities

In this paper we develop output feedback controllers and fixed-order (i.e., full- and reduced-order) dynamic compensators for systems with actuator amplitude and rate saturation constraints. The proposed design methodology employs a rate limiter as part of the controller architecture. The problem of simultaneous control amplitude and rate saturation is embedded within an optimization problem by constructing a Riccati equation whose solution guarantees closed-loop global/local asymptotic stability in the face of sector bounded actuator amplitude and rate non-linearities. Application of the proposed framework is demonstrated via a flight control example involving actuator amplitude and rate saturation constraints.

[1]  Dennis S. Bernstein,et al.  Nonlinear Controllers for Positive Real Systems with Arbitrary Input Nonlinearities , 1993, 1993 American Control Conference.

[2]  Wassim M. Haddad,et al.  Fixed-architecture controller synthesis for systems with input-output time-varying nonlinearities , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[3]  Ali Saberi,et al.  A Semi-Global Low-and-High Gain Design Technique for Linear Systems with Input Saturation - Stabiliz , 1993 .

[4]  J. R. Cloutier,et al.  Control of a bank-to-turn (BTT) missile with saturating actuators , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[5]  George M. Siouris,et al.  Applied Optimal Control: Optimization, Estimation, and Control , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[6]  Lars Rundqwist,et al.  Integrator Windup and How to Avoid It , 1989, 1989 American Control Conference.

[7]  Andrew R. Teel,et al.  Control of linear systems with saturating actuators , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[8]  Jose Alvarez-Ramirez,et al.  Semiglobal stabilization of multi-input linear systems with saturated linear state feedback , 1994 .

[9]  E. Ryan Optimal feedback control of saturating systems , 1982 .

[10]  Sophie Tarbouriech,et al.  Stability regions for linear systems with saturating controls via circle and Popov criteria , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[11]  Zongli Lin,et al.  Semi-global stabilization of linear systems with position and rate-limited actuators , 1997 .

[12]  D. Bernstein Optimal nonlinear, but continuous, feedback control of systems with saturating actuators , 1995 .

[13]  K. McKay,et al.  Summary of an AGARD Workshop on pilot induced oscillation , 1994 .

[14]  M. Morari,et al.  Multivariable Anti-Windup and Bumpless Transfer: A General Theory , 1989, 1989 American Control Conference.

[15]  R. Suárez,et al.  Linear systems with bounded inputs : global stabilization with eigenvalue placement , 1997 .

[16]  Dennis S. Bernstein,et al.  Robust stability and performance via fixed-order dynamic compensation with guaranteed cost bounds , 1990, Math. Control. Signals Syst..

[17]  Andrew R. Teel,et al.  Simultaneous L p -stabilization and internal stabilization of linear systems subject to input saturation—state feedback case , 1995 .

[18]  R. Sivan,et al.  A non-linear optimal control law for linear systems , 1979 .