𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Wiener-Hopf methods for unstable, nonminimum phase processes

✍ Scribed by H. C. Lim; S. G. Bankoff

Publisher
American Institute of Chemical Engineers
Year
1970
Tongue
English
Weight
739 KB
Volume
16
Category
Article
ISSN
0001-1541

No coin nor oath required. For personal study only.

✦ Synopsis

Part 1. Optimal Regulators I t is shown that existing methods for design of optimal regulators by the Wiener-Hopf procedure must be modified in order to be applicable to unstable and/or nonminimum phase plant or disturbance transfer functions, such as are frequently encountered in the chemical industry. Solutions are developed for three cases: 1. stable, but possibly nonminimum phase, plant and disturbance transfer functions; II. minimum phase, but possibly unstable, plant with no restrictions on the disturbance transfer functions; and Ill. prestabilized, with a proper modification to retain the original control effort inequality constraints, but possibly nonminimum phase plant and disturbance transfer functions. Case 111 gives the general solution for regulation of linear, time-invariant, lumped-parameter systems. When prestabilization is not necessary, it reduces to case 1. Where applicable, solutions by the method of case II frequently involve less algebra than in case 111. i

πŸ“œ SIMILAR VOLUMES

Nonminimum-phase compensation for nonlin
Nonminimum-phase compensation for nonlinear processes
✍ Raymond A. Wright; Costas Kravaris πŸ“‚ Article πŸ“… 1992 πŸ› American Institute of Chemical Engineers 🌐 English βš– 1008 KB

## Abstract The design of controllers for nonlinear, nonminimum‐phase processes is one of the most difficult control problems currently faced. Current available control algorithms for nonlinear processes rely implicitly or explicitly on an inverse of the process. Linear control methods for nonminim

ISE-optimal nonminimum-phase compensatio
ISE-optimal nonminimum-phase compensation for nonlinear processes
✍ Costas Kravaris; Dimitra Mousavere πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 366 KB

This work concerns the optimal regulation of single-input-single-output nonminimum-phase nonlinear processes. The problem of calculation of an ISE-optimal, statically equivalent, minimum-phase output for nonminimum-phase compensation is formulated using Hamilton-Jacobi theory and the normal form rep

On the Exponential Convergence of Spline
On the Exponential Convergence of Spline Approximation Methods for Wiener-Hopf Equations
✍ Johannes Elschner πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 542 KB

## Abstract We consider the approximate solution of Wiener‐Hopf integral equations by Galerkin, collocation and NystrΓΆm methods based on piecewise polynomials where accuracy is achieved by increasing simultaneously the number of mesh points and the degree of the polynomials. We look for the stabili

Control-affine neural network approach f
Control-affine neural network approach for nonminimum-phase nonlinear process control
✍ Atsushi Aoyama; Francis J. Doyle III; Venkat Venkatasubramanian πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 858 KB

The design of controllers for nonlinear, nonminimum-phase processes is very challenging and remains as one of the more difficult control research problems. Most currently available control algorithms rely implicitly or explicitly upon an inverse of the process. Linear control methods For nonminimum-