Optimal control for nonlinear systems with quadratic performance

Existence of Optimal Control for Nonlinear Systems with Quadratic Performance

We prove the existence of optimal control for nonlinear systems having implicit derivative with quadratic performance criteria.

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 ...

Optimal Control of Uncertain Nonlinear Quadratic Systems with Constrained Inputs

This paper addresses the problem of robust and optimal control for the class of nonlinear quadratic systems subject to normbounded parametric uncertainties and disturbances, and in presence of some amplitude constraints on the control input. By using an approach based on the guaranteed cost control theory, a technique is proposed to design a state feedback controller ensuring for the closed-loo...

Sequential Linear Quadratic Optimal Control for Nonlinear Switched Systems

In this contribution, we introduce an efficient method for solving the optimal control problem for an unconstrained nonlinear switched system with an arbitrary cost function. We assume that the sequence of the switching modes are given but the switching time in between consecutive modes remains to be optimized. The proposed method uses a two-stage approach as introduced by Xu and Antsaklis (200...

Optimal Control for Nonlinear Systems