... u 2 The substitution required to solve this Bernoulli equation is z = u 1 - 2 = 1 / u . Thus, by substituting x ( t ) = x p + z - 1 ( t ) into the Riccati equation results in a linear initial value problem: { z...

... regulator framework. Preview regulation is accomplished by a two-degrees-of-freedom output-feedback controller. A number of theoretical issues are studied, including the efficient solution of the standard H 2 full-information Riccati equation and the efficient evaluation of the full-information preview gain...

... of the mill that overcomes many limitations of the present controllers. The new strategy is based on a pointwise linear quadratic technique wherein a state-dependent algebraic Riccati equation is solved pointwise to establish a control law for a multiinput–multioutput controller, with appropriate trimming...

...-time algebraic Riccati equations and by implementing the pure-slow and pure-fast reduced-order Kalman filters. In order to show the effectiveness of the proposed method, we present the numerical result for a one-link flexible robot arm. Contributed by the Dynamic Systems, Measurement, and Control...

... in the stabilization of the total system, the internal forces are considered to be reduced by the nonlinear regulation based on a State-Dependent Riccati Equation (SDRE), where the internal forces are derived by a projection method. The dynamics of individual components and the relations of the constraint motions...

...M. D. S. Aliyu In this paper, the state-feedback mixed H 2 / H ∞ control problem for state-delayed linear systems is considered. Sufficient conditions for the solvability of this problem are given in terms of the solution to a pair of algebraic Riccati equations similar to the nondelayed case...

... H{sup}{INFINITY} control feedback closed loop systems control system synthesis Riccati equations matrix algebra Controller Uncertainty Nonfragile Controller H ∞ Control Riccati Equations Linear Systems It is well known that the H ∞ -norm is a very useful...

...Wilbur Langson; Andrew Alleyne This work considers a class of nonlinear systems whose feedback controller is generated via the solution of a State Dependent Riccati Equation (SDRE) as proposed in Banks and Manha and Cloutier. A pseudo-linear representation of the class of nonlinear systems...

... is based on the realization that the dynamics of input shaped systems give rise to time delays in the input. Thus, we exploit the feedback control theory of time delay systems for the closed-loop control of input shaped flexible structures. A Riccati equation-based and a linear matrix inequality-based...

.... For testing the system stability, we do not attempt to solve the Lyapunov or Riccati equation, but need only to check the eigenvalues of a Hamiltonian matrix to guarantee the solvability of an algebraic Riccati equation. The present method is simple and less conservative than those proposed in the literature...

... by the system measurements. This leads to a parallel Kalman filtering scheme and removes ill-conditioning of the original full-order singularly perturbed Kalman filter. The results obtained are valid for steady state. In that direction, the corresponding algebraic filter Riccati equation is completely decoupled...