A Caltech Library Service

Estimation and Control of Stochastic Chemical Systems


Hwang, Myung Kyu (1971) Estimation and Control of Stochastic Chemical Systems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/BG3X-F787.


Chapter II

The control of nonlinear lumped-parameter systems is considered with unknown random inputs and measurement noise. A scheme is developed whereby a nonlinear filter is included in the control loop to improve system performance. Pure time delays in the control loop are also examined. A computational example is presented for the proportional control on temperature of a CSTR subject to random disturbances, applying a nonlinear least square filter.

Chapter III

Least square filtering and interpolation algorithms are derived for states and parameters in nonlinear distributed systems with unknown additive volume, boundary and observation noises, and with volume and boundary dynamical inputs governed by stochastic ordinary differential equations. Observations are assumed to be made continuously in time at continuous or discrete spatial locations. Two methods are presented for derivation of the filter. One is the limiting procedure of the finite dimensional description of partial differential equation systems along the spatial axis, applying known filter equations in ordinary differential equation systems. The other is to define a least square estimation criterion and convert the estimation problem into an optimal control problem, using extended invariant imbedding technique in partial differential equations. As an example, the derived filter is used to estimate the state and parameter in a nonlinear hyperbolic system describing a tubular plug flow chemical reactor. Also a heat conduction problem is studied with the filtering and interpolation algorithms.

Chapter IV

New necessary and sufficient conditions are presented for the observability of systems described by nonlinear ordinary differential equations with nonlinear observations. The conditions are based on extension of the necessary and sufficient conditions for observability of time-varying linear systems to the linearized trajectory of the nonlinear system. The result is that the local observability of any initial condition can be readily determined, and the observability of the entire initial domain can be computed. The observability of con­stant parameters appearing in the differential equations is also considered.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Chemical Engineering)
Degree Grantor:California Institute of Technology
Division:Chemistry and Chemical Engineering
Major Option:Chemical Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Seinfeld, John H. (advisor)
  • Gavalas, George R. (advisor)
Thesis Committee:
  • Unknown, Unknown
Defense Date:10 May 1971
Record Number:CaltechTHESIS:05252018-085149423
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10935
Deposited By: Benjamin Perez
Deposited On:19 Jun 2018 17:50
Last Modified:21 Jun 2024 23:51

Thesis Files

PDF - Final Version
See Usage Policy.


Repository Staff Only: item control page