Reliable controller design for nonlinear systems

This paper addresses the reliable H/sub /spl infin// control problems for affine nonlinear systems. Based on the Hamilton-Jacobi inequality approach developed in the H/sub /spl infin// control problems for affine nonlinear systems, a method for the design of reliable nonlinear control systems is presented. The resulting nonlinear control systems are reliable in that they provide guaranteed local asymptotic stability and H/sub /spl infin// performance not only when all control components are operational, but also in case of some component outages within a prespecified subset of control components.

[1]  Robert J. Veillette,et al.  Reliable linear-quadratic state-feedback control , 1995, Autom..

[2]  William R. Perkins,et al.  Design of reliable control systems , 1992 .

[3]  A. Schaft.  On a state space approach to nonlinear H ∞ control , 1991 .

[4]  J. Doyle,et al.  𝓗∞ Control of Nonlinear Systems via Output Feedback: Controller Parameterization , 1994, IEEE Trans. Autom. Control..

[5]  A. Schaft.  L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control , 1992 .

[6]  Alberto Isidori,et al.  A necessary condition for nonlinear H ∞ control via measurement feedback , 1994 .

[7]  A.N. Gundes,et al.  Reliable decentralized control , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[8]  A. Isidori.  H∞ control via measurement feedback for affine nonlinear systems , 1994 .

[9]  J. Helton,et al.  H∞ control for nonlinear systems with output feedback , 1993, IEEE Trans. Autom. Control..

[10]  A. Isidori,et al.  Disturbance attenuation and H/sub infinity /-control via measurement feedback in nonlinear systems , 1992 .

[11]  Dragoslav D. Šiljak,et al.  Reliable control using multiple control systems , 1980 .

[12]  Mathukumalli Vidyasagar,et al.  Reliable stabilization using a multi-controller configuration , 1983, The 22nd IEEE Conference on Decision and Control.

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

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