Global Optimal Control of Perturbed Systems

Global optimal control of perturbed systems

We propose a new numerical method for the computation of the optimal value function of perturbed control systems and associated globally stabilizing optimal feedback controllers. The method is based on a set oriented discretization of state space in combination with a new algorithm for the computation of shortest paths in weighted directed hypergraphs. Using the concept of a multivalued game, w...

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 ...

Near-optimal control of linear multiparameter singularly perturbed systems

In this note, the linear quadratic optimal control for multiparameter singularly perturbed systems is studied. The attention is focused on the design of a new near-optimal controller. The resulting controller achieves approximation of the optimal cost. The proposed algorithm has been numerically tested on a real physical example and produced useful results.

Near-optimal control of nonstandard singularly perturbed systems

Global optimal control of quantized systems

We propose a set oriented approach to the global infinite horizon optimal control of nonlinear systems with quantized state measurement and quantized control values. The algorithm relies on a dynamic programming principle in which the quantization error is modelled as an opponent in a min-max dynamic game formulation. For the solution of the problem we propose a set oriented approach followed b...