In this paper we use the theory of L disturbance at tenuation for linear H and nonlinear systems to obtain solutions to the Nonlinear Benchmark Problem NLBP proposed in the companion paper by Bupp et al By considering a series expansion solution to the Hamilton Jacobi Isaacs Equation associated with the nonlinear disturbance attenuation problem we obtain a series expansion solution for a nonlin...

This paper proposes a novel design method for the adaptive robust H∞ control problem of a class of nonlinear systems with parametric uncertainties and external disturbances, which combines adaptive control and robust H∞ control techniques. By the use of the parameter projection method in adaptive control, the adaptive control laws are derived. Based on Hamilton-Jacobi inequalities, the adaptive...

This paper considers the problem of a nonlinear H∞ design for a laboratory twin rotor system. This mechanical device features a highly nonlinear strongly coupled dynamics, which constitutes a challenge for many classical linear control techniques. The approach presented in this paper considers a nonlinear H∞ disturbance rejection procedure on the reduced dynamics of the rotors, including integr...

The robust H∞ control problem for the generator excitation system with the damping coefficient uncertainty and external disturbances, is addressed. Storage functions of the control system are constructed based on modified adaptive backstepping sliding mode control method and Lyapunov method. A nonlinear robust H∞ controller and a parameter updating law are obtained simultaneously. The controlle...

The problem of quadratic stabilization of a class of nonlinear systems will be examined in this paper. By employing a well-known Riccati approach, we develop a technique for designing a state feedback control law which quadratically stabilizes the system for all admissible uncertainties. This state feedback control law consists of linear and nonlinear feedback control terms. The linear feedback...

This thesis studies the problem of robust disturbance rejection for nonlinear systems based on three different methods: H∞ control, singular perturbation theory and multiple model adaptive control. Firstly, the disturbance suppression problem for nonlinear systems based on H∞ control is examined. We review the so-called nonstandard mixed sensitivity problem, which introduces an integrator into ...

Abstract: One of the equipment that can help improve distribution system status today and reduce the cost of fault time is remote control switches (RCS). Finding the optimal location and number of these switches in the distribution system can be modeled with various objective functions as a nonlinear optimization problem to improve system reliability and cost. In this article, a particle swarm ...

In this paper the design of an optimal nonlinear H∞ controller for flexible joint robot (FJR) is presented. An approximate solution based on Taylor Series expansion is considered for the Hamilton-Jacobi-Isaac (HJI) inequality. A two-degree-of-freedom controller combined of optimal nonlinear H∞ controller and inverse dynamics controller is proposed to tackle the regulation as well as tracking pr...