This note is concerned with the problem of a robust non-fragile Kalman filter design for a class of uncertain linear systems with norm-bounded uncertainties. The designed state estimator can tolerate multiplicative uncertainties in the state estimator gain matrix. The robust nonfragile state estimator designs are given in terms of solutions to algebraic Riccati equations. The designs guarantee known upper bounds on the steady-state error covariance. A numerical example is given to illustrate the results.

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 decentralized H∞ controller design via measurement feedback for linear composite systems. Two decentralized controller design procedures are presented in terms of positive definite solutions to modified algebraic Riccati inequalities. The resulting controllers guarantee closed-loop stability and an H∞-norm bound on disturbance attenuation. A numerical example is given to illustrate the design procedures.

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.

This paper is concerned with the single-contingency reliable controller design problem for nonlinear systems. A procedure for designing reliable nonlinear controllers is presented for nonlinear systems with strictly redundant sensors and strictly redundant actuators. The resulting closed-loop nonlinear systems are reliable in the sense that they provide guaranteed local internal stability and H∞ performance not only when all sensors and actuators are operational but also when any one, but only one, sensor or actuator experiences an outage. An example is given to illustrate the design procedure and the effectiveness of the proposed methods.