An algorithm to approximate a solution to the Hamilton-Jacobi equation for a generating function for a nonlinear optimal control problem with a quadratic cost function with respect to the input is proposed in this paper. An approximate generating function based on Taylor series up to the order N is obtained by solving (N + 2)(N − 1)/2 linear first-order ordinary differential equations recursive...

This paper presents an application of the nonlinear optimal control techniques to the design of launch vehicle autopilots. The optimal control is given by the solution to the Hamilton-Jacobi-Bellman (HJB) equation, which in this case cannot be solved explicity. A method based upon Successive Galerkin Approximation (SGA), is used to obtain an approximate optimal solution. Simulation results invo...

The optimal damping control for nonlinear time-delay systems with persistent disturbances is considered. Based on successive approximation approach (SAA), the optimal damping control (ODC) 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 ODC law of the original problem consists of accu...

This paper presents a detailed perspective of two constructive feedback strategies characterized by algebraic Riccati equations for solving continuous-time nonlinear deterministic optimal control problems. In each case, the system is first transformed into a linear-like, state-dependent structure. The first method is based on treating the adapted model as an instantaneously linear time-invarian...

classical control methods such as pontryagin maximum principle and bang-bang principle and other methods are not usually useful for solving opti-mal control systems (ocs) specially optimal control of nonlinear systems (ocns). in this paper, we introduce a new approach for solving ocns by using some combination of atomic measures. we define a criterion for controllability of lumped nonlinear con...

This paper proposes an approach to implement optimal control laws of nonlinear systems in real time. Our methodology does not require solving two-point boundmy value problems online and may not require it off-line either. The optimal control law is learned using the original Sugeno controller (OSC) from a family of optimal trajectories. Wb compare the trajectories generated by the OSC and the t...

In this work we propose a simultaneous scheduling and control optimization formulation to address both optimal steady-state production and dynamic product transitions in continuous multiproduct tubular reactors. The simultaneous scheduling and control problem for continuous multiproduct tubular reactors is cast as a Mixed-Integer Dynamic Optimization (MIDO) problem. The dynamic behavior of the ...

The optimal buffer allocation in queueing network systems is a difficult stochastic, non-linear, integer mathematical programming problem. Moreover, the objective function, the constraints or both are usually not available in closed-form, making the problem even harder. A good approximation for the performance measures is thus essential for a successful buffer allocation algorithm. A recently p...

In this paper, we consider performance output tracking for a boundary controlled one-dimensional wave equation with possibly unknown internal nonlinear uncertainty and external disturbance. We first show that the open-loop system is well-posed and then propose a disturbance estimator. It is shown that the disturbance estimator can estimate successfully the total disturbance that consists of int...

This paper surveys some of the main design strategies of nonlinear model predictive control (MPC). The system under control, the performance index to be minimized and the state and control constraints to be fulfilled are defined in the continuous time. The considered algorithms are analyzed and compared in terms of stability, performance and implementation issues. In particular, it is shown tha...