This paper is concerned with the reliable control design problem for uncertain nonlinear systems. A more practical model of actuator failures than outage is adopted. Based on the Hamilton-Jacobi inequality (HJI) approach from nonlinear control theory, a method for designing reliable state feedback controllers is presented. The resulting control systems are robustly stable and with an performance bound against plant uncertainty and actuator failures.

This paper addresses the reliable H∞-control problems for affine nonlinear systems. Based on the Hamilton-Jacobi inequality approach developed in the H∞-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∞ performance not only when all control components are operational, but also in the case of some component outages within a prespecified subset of control components. A numerical example is also given. H∞ control, Hamilton-Jacobi inequalities, nonlinear systems, reliable control.

This paper is concerned with the problem of non-fragile H∞ controller design for linear time-invariant systems. The controller to be designed is assumed to have multiplicative gain variations. Design methods are presented in terms of symmetric positive-definite solutions of algebraic Riccati inequalities. The resulting design is such that the closed-loop system is robustly stable and has an H∞ disturbance attenuation bound with respect to the multiplicative controller gain variations. A numerical example is given to illustrate the design methods.

This paper considers the problem of guaranteed cost control for discrete-time linear systems under state feedback control gain perturbations. Two classes of perturbations are considered, namely, additive and multiplicative. The state feedback control designs for optimal guaranteed cost control under the two classes of gain perturbations are given in terms of solutions to algebraic Riccati equations. The designs are such that the cost of the closed-loop system is guaranteed to be within a certain bound for all admissible uncertainties. Numerical examples are included to illustrate the design procedures.