This paper studies the H 1 control problem for a nonlinear, unbounded, innnite dimensional system with state constraints. We characterize the solvability of the problem by means of a Hamilton-Jacobi-Isaacs equation, proving that the H 1 problem can be solved if and only if the HJI equation has a nonnegative viscosity supersolution, vanishing at the origin.

In this paper we present a new approach to the solution of the output feedback robust H , control problem. We employ the recently developed concept of information state for output feedback dynamic games and obtain necessary and sufficient conditions for the solution to the robust control problem expressed in terms of the information state. The resulting controller is an information state feedba...

a new approach for pole placement of nonlinear systems using state feedback and fuzzy system is proposed. we use a new online fuzzy training method to identify and to obtain a fuzzy model for the unknown nonlinear system using only the system input and output. then, we linearized this identified model at each sampling time to have an approximate linear time varying system. in order to stabilize...

This paper proposes a convex approach to the H-infinity output feedback problem for a class of uncertain nonlinear systems in which the system matrices are allowed to be rational functions of the state and uncertain parameters. We derive sufficient linear matrix inequality (LMI) conditions for designing full-order output feedback controllers that assure the regional stability of the nonlinear s...

This paper develops the theory for tracking control using the nonlinear H1 control design methodology for a class of nonlinear input affine systems. The authors use a two-step process of first designing the feedforward part of the controller to design for perfect trajectory following and then design the feedback part of the controller using nonlinear H1 regulator theory. Results for infinite-ti...

This paper focuses on the problem of reliable H∞ control for a class of switched nonlinear systems with actuator failures among a prespecified subset of actuators. In existing works, the reliable H∞ design methods are all based on a basic assumption that the never failed actuators must stabilize the given system. But when actuators suffer ”serious failure”– the never failed actuators can not st...

We study the H control problem for an a$ne singularly perturbed system, which is nonlinear in the state variables. Under suitable assumptions on the linearized problem, we construct -independent composite and linear controllers that solve the local H control problem for the full-order system for all small enough . These controllers solve also the corresponding problem for the descriptor system....

In this paper we describe a novel approach for designing nonlinear H 1 control laws. These robust controllers are obtained by numerically approximating the solution to the Hamilton-Jacobi-Isaacs (HJI) equation and result in nonlinear control laws in feedback form. The approximation is accomplished via a two-step successive Galerkin approximation scheme. An application of the technique to the co...