The State-Dependant Riccati Equation method has been frequently used to design suboptimal controllers applied to nonlinear dynamic systems. Different methods for local stability analysis of SDRE controlled systems of order greater than two such as the attitude dynamics of a general rigid body have been extended in literature; however, it is still difficult to show global stability properties of...

This paper addresses the control problem of an electrohydraulic velocity servo-system (EHVSS). Two control schemes are proposed for the stabilization of the system. The first scheme is a dynamic sliding mode controller (SMC), and the second scheme is a linear quadratic regulator-like control law which is based on the state-dependent Riccati equation (SDRE) approach. When applying the SMC techni...

Abstract: The topic of single or multiple objective, optimal control or design has been a very attractive and desirable feature for many dynamic and static systems such as aerospace, electrical, mechanical and robotics, nuclear and aerospace engineering. In particular, in dynamic optimization of nonlinear systems, recent research interest has been the nonlinear, optimal, feedback control using ...

Abstract The synthesis of suboptimal feedback laws for controlling nonlinear dynamics arising from semi-discretized PDEs is studied. An approach based on the State-dependent Riccati Equation (SDRE) presented 2 and ∞ control problems. Depending nonlinearity dimension resulting problem, offline, online, hybrid offline-online alternatives to SDRE are proposed. method reduces sequential solution Ly...

This chapter shares with Chapter 9 the adoption of a model predictive control (MPC) framework for flight control applications, but the details differ substantially. In particular, the control feedback in this case is a superposition of a neural-network-based nonlinear mapping and a nonlinear state-dependent Riccati equation (SDRE) controller. The neural network is optimized (trained) online for...

The development of control systems for a two degreeof-freedom vibration suppression system using a magnetorheological (MR) fluid damper is the subject of this paper. It is assumed that system encounters impulsive disturbance forces. The objective is to use the (MR) fluid damper for the position control and vibration suppression of the payload. The control force is generated by regulating the el...

A method for solving finite-horizon optimal control of nonlinear systems has been developed in this paper and used for an online path planning problem. The new controller synthesis is motivated by the state-dependent Riccati equation (SDRE) technique that was developed for solving regulator and tracking problems. However, finite-time problems need to meet specified boundary conditions for the a...