...Abolhassan Razminia; Mehdi Asadizadehshiraz; Delfim F. M. Torres We consider an extension of the well-known Hamilton–Jacobi–Bellman (HJB) equation for fractional order dynamical systems in which a generalized performance index is considered for the related optimal control problem. Owing...

... for α = 0 . 1 , starting the initial element ψ 0 = 0 , then after 440 iterations, we get the following approximate symbolic optimal control: ψ 440 = - 0 . 2618056436 × 10 - 9 cos ( 4 . 188790204 x ) - 0 . 1428415401 × 10 - 9 cos...

... of NCs in the optimal control of multibody systems presents two major challenges. First, the consistent application of actuating joint-forces becomes an issue since conjugate joint-coordinates are not directly available. Second, numerical methods for optimal control with index-3 DAEs are still...

...Raj Kumar Biswas; Siddhartha Sen A constrained dynamic optimization problem of a fractional order system with fixed final time has been considered here. This paper presents a general formulation and solution scheme of a class of fractional optimal control problems. The dynamic constraint...

...Sigrid Leyendecker; Leonard J. Lucas; Houman Owhadi; Michael Ortiz We present an optimal control methodology, which we refer to as concentration-of-measure optimal control (COMOC), that seeks to minimize a concentration-of-measure upper bound on the probability of failure of a system. The systems...

... − 30.8543 26.1716 5.3587 ] and (an optimal control) u = 1.3139 x 1 − 0.4801 x 2 + 0.7567 x 3 + 1.7294 x 4 − 0.0001 x 5 − 0.0395 x 6 . Time history of the energy consumption: ( a ) uncontrolled system; ( b ) controlled system...

...Om P. Agrawal This paper presents a formulation and a numerical scheme for fractional optimal control (FOC) for a class of distributed systems. The fractional derivative is defined in the Caputo sense. The performance index of an FOC problem (FOCP) is considered as a function of both the state...

... to zero. The implications of these results are considered, with special consideration given to the formulation of the fractional-order optimal control problem. Oldham , K. , and Spanier , J. , 1974 , The Fractional Calculus: Integrations and Differentiations of Arbitrary Order , Academic...

... to stabilize the oscillations; those were close to the critical angle of the aircraft, in the flight conditions, established. We proposed a linear optimal control design applied to the considered nonlinear aircraft model below angle of stall, taking into account regions of Hopf and saddled noddle bifurcations...