The mixed H /H control problem is studied for a class of nonlinear systems. A procedure providing a sub-optimal solution to this problem is discussed and analyzed in detail. The sub-optimal state-feedback control law can be obtained solving two Hamilton}Jacobi equations and a simple one parameter static minimization problem. A simple one-dimensional example is discussed in detail and applicatio...

We consider optimal control of nonlinear partial di erential equations involving potentially singular solution-dependent terms. Singularity can be prevented by either restricting controls to a closed admissible set for which well-posedness of the equation can be guaranteed, or by explicitly enforcing pointwise bounds on the state. Bymeans of an elliptic model problem, we contrast the requiremen...

One of recent achievements in the field of nonlinear H∞ optimal control theories for Euler-Lagrange systems is the analytic solution to the Hamilton-JacobiIsaccs (HJI) equation associated to the so-called nonlinear H∞ inverse-optimal control [1]. In this paper, we address the problem of nonlinear H∞ optimal control design for an Euler-Lagrange system, rather than the inverse-optimal problem. By...

in this paper, a novel approach for control of the dc-dc buck converter in high-power and low-voltage applications is proposed. designed method is developed according to state feedback linearization based controller , which is able to stabilize output voltage in a wide range of operation. it is clear that in high-power applications, parasitic elements of the converter may become comparable with...

in this paper, a new analytical method to find a near-optimal high gain controller for the non-minimum phase affine nonlinear systems is introduced. this controller is derived based on the closed form solution of the hamilton-jacobi-bellman (hjb) equation associated with the cheap control problem. this methodology employs an algebraic equation with parametric coefficients for the systems with s...

‎Here‎, ‎we give a two phases algorithm based on integrating differential evolution (DE) algorithm with modified hybrid genetic algorithm (MHGA) for solving the associated nonlinear programming problem of a nonlinear optimal control problem‎. ‎In the first phase‎, ‎DE starts with a completely random initial population where each individual‎, ‎or solution‎...