L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control

University of Groningen L 2 - Gain Analysis of Nonlinear Systems and Nonlinear State Feedback H Control

Time-Invariant State Feedback Control Laws for a Special Form of Underactuated Nonlinear Systems Using Linear State Bisection

Linear state bisection is introduced as a new method to find time-invariant state feedback control laws for a special form of underactuated nonlinear systems. The specialty of the systems considered is that every unactuated state should be coupled with at least two directly actuated states. The basic idea is based on bisecting actuated states and using linear combinations with adjustable parame...

State-feedback H control of nonlinear singularly perturbed systems

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....

Optimal Control of Nonlinear Multivariable Systems

This paper concerns a study on the optimal control for nonlinear systems. An appropriate alternative in order to alleviate the nonlinearity of a system is the exact linearization approach. In this fashion, the nonlinear system has been linearized using input-output feedback linearization (IOFL). Then, by utilizing the well developed optimal control theory of linear systems, the compensated ...

A new approach based on state conversion to stability analysis and control design of switched nonlinear cascade systems

In this paper, the problems of control and stabilization of switched nonlinear cascade systems is investigated. The so called simultaneous domination limitation (SDL) is introduced in previous works to assure the existence of a common quadratic Lyapunov function (CQLF) for switched nonlinear cascade systems. According to this idea, if all subsystems of a switched system satisfy the SDL, a CQLF ...