Low-order Output Feedback Research Articles

Constrained pole placement for linear systems using low-order output feedback controllers

The paper presents a simple approach to the problem of designing low-order output feedback controllers for linear continuous systems. The controller can place all of the closed-loop poles within a circle, C(- f , 1/ g ) , with centre at - f and radius of 1/ g in the left half s-plane. The design method is based on transformation of the original system and then applying the bounded-real-lemma to the transformed system. It is shown that subjected to the solvability of an algebraic Riccati equation (ARE), output feedback controllers can then be systematically derived. Furthermore, the order of the controller is low and equals only the number of the open-loop poles lying outside the circle. A step-by-step design algorithm is given. Numerical examples are given to illustrate the design method.

Nonlinear control of particulate processes

AbstractA general methodology is proposed for the synthesis of practically‐implementable nonlinear output feedback controllers for spatially‐homogeneous particulate processes modeled by population balance equations. Initially, a nonlinear model reduction procedure based on a combination of the method of weighted residuals and the concept of approximate inertial manifold is presented for the construction of low‐order ordinary differential equation (ODE) systems that accurately reproduce the dominant dynamics of the particulate process. These ODE systems are then used for the synthesis of nonlinear low‐order output feedback controllers that enforce exponential stability in the closed‐loop system and achieve particle‐size distributions with desired characteristics. Precise closed‐loop stability conditions are given and controller implementation issues are discussed. The proposed nonlinear control method is successfully applied to a continuous crystallizer, and is shown to outperform a proportional‐integral controller and cope effectively with model uncertainty and measurement delays.

A Low Order Output Feedback Dynamic Controller

A low-order output feedback dynamic controller for Improving the dynamic performance of linear multivariable systems is introduced in this paper. The order of the output feedback dynamic controller can be the same as the number of inputs. In addition it can replace a full static state feedback controller and preserve its performance. A numerical example is given to illustrate the potentials of the proposed controller.

Optimal disturbance rejection in missile autopilot design using projective controls

A projective controls approach is used to design a normal acceleration command missile autopilot. Projective controls are used to retain the eigenstructure of an H/sup infinity / optimal state feedback controller using a low-order output feedback compensator, but retaining the performance, robustness, and disturbance attenuation properties of the state feedback design. A free parameter matrix used in the projective control design is optimized to minimize the Frobenius-Hankel norm of the error dynamics between the optimal state feedback reference solution and the projective control.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>