Optimal output tracking control for nonlinear systems via successive approximation approach

Optimal tracking control for nonlinear large-scale systems with persistent disturbances

“…(16) Theorem 1 Considering the OTC problem described by (9) and (10), the OTC lawũ * i (t) can be rewritten by…”

“…The OTC problem of nonlinear subsystems always leads to a high-order coupling and nonlinear TPBV problem. However, this problem is impossible to be solved analytically [9]. We obtain the OTC law of nonlinear subsystems by the sensitivity approach whose calculation is smaller than the successive approximation approach [10].…”

Optimal Sliding Mode Control for a Class of Uncertain Nonlinear Systems Based on Feedback Linearization

“…However, nearly all practical systems contain nonlinearities, there would exist some difficulties if optimal control is applied to handling nonlinear problems (Chiou & Huang, 2005;Ho, 2007Tang et al, 2007).In this section, the global robust optimal sliding mode controller (GROSMC) is designed based on feedback linearization for a class of MIMO uncertain nonlinear system.…”

Design of Optimal Tracking Controller for Systems with Control-Affine Form

“…The major contribution of this research is the avoidance of on-line computation of the differential (or algebraic) Riccati equations. The SAA has been successfully applied to solving the optimal control problem of nonlinear and bilinear discretetime systems as in [9,10] and the optimal output tracking control problem of nonlinear systems as in [11].…”

“…The feedforward control law can be calculated accurately and can be physically realized, while an exosystem state observer is constructed to make the feedforward control law physically realizable [11]. By using SAA, the coupled nonlinear TPBV problem leading by the application of the minimum principle is transformed into a linear TPBV problem sequence including a sequence of linear adjoint vector differential equations and a sequence of linear state vector differential equations.…”