An iterative approach for joint optimization of a scalar error-feedback matrix and a coordinate transformation matrix is developed to minimize the roundoff noise subject to the l2-norm dynamic-range scaling constraints. When the iterative algorithm converges and the optimal coordinate transformation matrix is obtained, the diagonal error-feedback matrix is derived to minimize the noise gain in ...

The paper establishes the design procedure for the state feedback control of linear discrete-time systems, considerable as an interposed design criterium in the form of linear matrix inequalities. The goal is to design the feedback control which guarantees bounded H2 performance index for the system transfer function matrix and H∞ norm attenuation for the disturbance transfer function matrix, b...

The so-called nonlinear H 1-control problem in state space is considered with an emphasis on developing machinery with promising computational properties. Both state feedback and output feedback H 1-control problems for a class of nonlinear systems are characterized in terms of continuous positive deenite solutions of algebraic nonlinear matrix inequalities which are convex feasibility problems...

a method for solving the descriptor discrete-time linear system is focused. for easily, it is converted to a standard discrete-time linear system by the definition of a derivative state feedback. then partial eigenvalue assignment is used for obtaining state feedback and solving the standard system. in partial eigenvalue assignment, just a part of the open loop spectrum of the standard linear s...

This paper investigates the problem of the stabilization of a system (A, Bd) consisting of two interconnected subsystems, with decentralized state or output feedback. Following the initial definition of the global system and of its two subsystems in the state-space, and based on the intercontrollability matrix D(s) of system (A, Bd) and on the kernel U(s) of D(s), an equivalent system {M(s), I2...

In this paper, an adaptive attitude control algorithm is developed based on neural network for a satellite using four reaction wheels in a tetrahedron configuration. Then, an attitude control based on feedback linearization control is designed and uncertainties in the moment of inertia matrix and disturbances torque have been considered. In order to eliminate the effect of these uncertainties, ...

Based on a recent convex programming algorithm for simultaneous stabilization by linear state feedback, we propose two types of control law for stabilizing a family of systems, when either a simultaneously stabilizing state feedback gain or a simultaneously stabilizing output injection matrix exists, and complete state information is not available. The proposed control laws are illustrated by a...

Design conditions for existence of memory-less feedback control for stabilization of discrete-time systems with equality constraints given on the state variables are presented in the paper. The design problem is addressed for linear discretetime systems with equality constraints tying together some state variables. Using the classical memory-less feedback control principle LMI-based procedures ...

In this paper, we present a robust output-feedback model predictive control (MPC) design for a class of open-loop stable systems with hard inputand soft state constraints. The proposed output-feedback design is based on a linear state estimator and a novel parameterization of the soft state constraints that has the advantage of leading to optimization problems of prescribable size. Robustness a...