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This paper deals with an optimal control problem for a class of singularly perturbed time-delay large-scale systems. The optimal control laws for the order-reduced slow subsystem with time-delay and fast subsystem are designed, respectively. For the slow subsystem, the sensitivity approach is proposed to solve the coupled two-point boundary value (TPBV) problem with both time delay and advance terms...
Coordination of autonomous non-point agents is studied in this work. Interactions between vehicles together with their internal dynamics have been modeled as a continuous, unconstrained differential game. In particular, collision prediction is shown to be achievable in a cooperative scheme through solving the boundary value equation associated with the dual problem. Optimal control formulation has...
This paper deals with the optimal tracking control (OTC) problem for a class of nonlinear system with control- affine form. The feedforward compensation technique is used in order to make the system's output asymptotically track the desired trajectory. An adjoint vector is introduced to compensate the control-affine nonlinearity of the dynamic system. The compensation term is obtained by introducing...
Optimal control for discrete-time systems with time-delay affected by additive stochastic disturbances is considered. By introducing a sensitivity parameter, we transform the original optimal disturbance rejection control (ODRC) problem into a series of two-point boundary value (TPBV) problems without time-delay and time-advance terms. The approximate ODRC law consists of analytic state feedback and...
In this paper, a simple yet effective adaptive ideal proportional navigation (AIPN) guidance law is proposed. Unlike some other approaches adopted from optimal control, two points boundary value problem is avoided. All the formulation and analysis are performed in a line of sight (LOS) fixed natural coordinate, and the closed-form solution for the case of nonmaneuvering target is derived. For the...
We consider an optimal disturbance rejection problem for time-delay systems with persistent disturbances. In order to realize disturbance rejection with zero steady-state error, a disturbance compensator is constructed based on the internal model principle. At the same time, the optimal disturbance rejection problem with zero steady-state error is transformed into an optimal control problem for time-delay...
The quadratic optimal control problem for a class of singularly perturbed nonlinear time-delay systems is investigated. Based on successive approximation approach (SAA), the reduced order nonlinear time-delay optimal control law is achieved by solving a decoupled sequence of inhomogeneous linear two-point boundary value (TPBV) problems without time-delay and time-advance terms. The obtained composite...
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