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On infinite-horizon optimal control problems
On infinite-horizon optimal control problems...
A NEW APPROACH FOR ASYMPTOTIC STABILITY SYSTEM OF THE NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS
Abstract. In this paper, we use measure theory for considering asymptotically
stable of an autonomous system [1] of first order nonlinear ordinary
differential equations(ODE’s). First, we define a nonlinear infinite-horizon...
Embedded-Based sliding Mode Control Design
In this paper, a sliding mode control (SMC) design approach using
embedding process, measure theory and optimal control techniques
is proposed. In this method, a state trajectory starting from a
given ...
Solving infinite horizon nonlinear optimal control problems using an extended modal series method
This paper presents a new approach for solving a class of infinite horizon nonlinear optimal control problems (OCPs). In this approach, a nonlinear two-point boundary value problem (TPBVP), derived from Pontryagin’s maximum principle, is transformed...
An off-line NMPC strategy for continuous-time nonlinear systems using an extended modal series method
of the optimization problem is guaranteed. Closed-loop stability of the proposed NMPC approach is shown using the off-line terminal region calculations suggested in quasi-infinite horizon NMPC scheme. The applicability and effectiveness of the proposed approach...
Optimal control of nonlinear systems using the homotopy perturbation method: Infinite horizon case
This paper presents a new method for solving a class of infinite horizon nonlinear optimal control
problems. In this method, first the original optimal control problem is transformed into a nonlinear
two-point boundary value problem...