Adaptive output-feedback design for a class of nonlinear discrete-time systems

We present adaptive output-feedback schemes for a class of discrete-time systems whose continuous-time counterparts are the output-feedback canonical form. We first develop a systematic design procedure for the deterministic case. Global boundedness and convergence are achieved with no restriction imposed on the nonlinearities. Then we proceed to develop an analogous design procedure for the adaptive case. Depending on the characteristics of the nonlinearities, global boundedness and convergence can be achieved with various update laws. A rank condition is required to ensure such properties for nonlinearities which are not globally Lipschitz. >

[1]  Nicholas Kalouptsidis,et al.  Output Feedback Stabilization of Discrete-Time Control Systems , 1990 .

[2]  I. Kanellakopoulos,et al.  Indirect adaptive output-feedback control of a class on nonlinear systems , 1990, 29th IEEE Conference on Decision and Control.

[3]  I. Kanellakopoulos,et al.  A toolkit for nonlinear feedback design , 1992 .

[4]  R. Marino,et al.  Global adaptive output-feedback control of nonlinear systems. I. Linear parameterization , 1993, IEEE Trans. Autom. Control..

[5]  Wei Lin,et al.  Direct adaptive control of a class of MIMO nonlinear systems , 1992 .

[6]  Jingxin Zhang,et al.  Adaptive control of a class of multivariable nonlinear systems and convergence analysis , 1989 .

[7]  Miroslav Krstic,et al.  Adaptive Nonlinear Output-Feedback Control with an Observer-Based Identifier , 1993 .

[8]  B. Womack,et al.  Stability analysis of a discrete-time adaptive control algorithm having a polynomial input , 1983 .

[9]  C. Byrnes,et al.  Discrete-time lossless systems, feedback equivalence and passivity , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[10]  S. Kotsios,et al.  The model matching problem for a certain class of nonlinear systems , 1993 .

[11]  Ali Saberi,et al.  Special coordinate basis for multivariable linear systems—finite and infinite zero structure, squaring down and decoupling , 1987 .

[12]  J. Tsinias,et al.  Stabilization of nonlinear discrete-time systems using state detection , 1993, IEEE Trans. Autom. Control..

[13]  Wei Lin,et al.  Stabilization of discrete-time nonlinear systems by smooth state feedback , 1993 .

[14]  Petar V. Kokotovic,et al.  Adaptive output-feedback control of a class of nonlinear systems , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[15]  Jessy W. Grizzle,et al.  Adaptive Output-Feedback Control of a Class of Discrete-Time Nonlinear Systems , 1993, 1993 American Control Conference.

[16]  S. Monaco,et al.  Nonlinear regulation for a class of discrete-time systems , 1993 .