The paper presents a theoretical and numerical study of the existence problem of self-sustained periodic solutions in feedback control systems including a hysteresis nonlinearity with non-local memory. The presence of this type of nonlinearity in the feedback control system can cause undesired effects, e.g. limit cycles, instability, and thus must be taken into account in the design phase of th...

This paper proposes the locomotion control system for a biped locomotion robot. The proposed control system is composed of motion generator system and motion control system. Motion generator system is composed of nonlinear oscillators which generate the commanded trajectories of the joints as functions of phases of oscillators. Motion control system is composed of motors with controllers instal...

Control invariant sets play a key role in model predictive control. Using Lyapunov function, a technique is proposed to design control invariant sets of planar systems in a precise form. First, it is designed for a linear system in Brunovsky canonical form. Then, the result is extended to general linear systems. Finally, the nonlinear control systems are considered, and some sufficient conditio...

This article deals with applications of optimal control to aerospace problems with a focus on modern geometric optimal control tools and numerical continuation techniques. Geometric optimal control is a theory combining optimal control with various concepts of differential geometry. The ultimate objective is to derive optimal synthesis results for general classes of control systems. Continuatio...

In this paper, we study optimal control problems for nonlinear fractional order boundary value on a star graph, where the derivative is described in Caputo sense. The adjoint state and optimality system are derived problem (FOCP) by using Lagrange multiplier method. Then, existence uniqueness of solution equation proved means Banach contraction principle. We also pr...