Control of Nonlinear Differential Algebraic Equation Systems with Applications to Chemical ProcessesCRC Press, 1 de fev. de 1999 - 176 páginas The feedback control of nonlinear differential and algebraic equation systems (DAEs) is a relatively new subject. Developing steadily over the last few years, it has generated growing interest inspired by its engineering applications and by advances in the feedback control of nonlinear ordinary differential equations (ODEs). This book-the first of its kind-introduces the reader to the inherent characteristics of nonlinear DAE systems and the methods used to address their control, then discusses the significance of DAE systems to the modeling and control of chemical processes. Within a unified framework, Control of Nonlinear Differential Algebraic Equation Systems presents recent results on the stabilization, output tracking, and disturbance elimination for a large class of nonlinear DAE systems. Written at a basic mathematical level-assuming some familiarity with analysis and control of nonlinear ODEs-the authors focus on continuous-time systems of differential and algebraic equations in semi-explicit form. Beginning with background material about DAE systems and their differences from ODE systems, the book discusses generic classes of chemical processes, feedback control of regular and non-regular DAE systems, control of systems with disturbance inputs, the connection of the DAE systems considered with singularly perturbed systems, and finally offers examples that illustrate the application of control methods and the advantages of using high-index DAE models as the basis for controller design. Mathematicians and engineers will find that this book provides unique, timely results that also clearly documents the relevance of DAE systems to chemical processes. |
Conteúdo
Control of DAE Systems with Disturbance Inputs | 5 |
2 | 17 |
8 | 30 |
Feedback Control of Nonregular DAE Systems | 52 |
DAES and Singularly Perturbed Systems | 89 |
Simulation Studies of Chemical Process Applications | 108 |
Bibliography | 153 |
Termos e frases comuns
algebraic equations algebraic variables algorithm basis chemical processes closed-loop system Consider the DAE constrained state space Contr control law controlled outputs controller design controller synthesis coordinate change corresponding covector DAE model denote derivation differential equations differential variables equilibrium fast dynamics feedback controller feedback regularized feedforward/feedback gradient covector fields high-index DAE models high-index DAE systems IEEE Trans initial conditions input vector input/output input/output behavior inputs u(t k¹(x Lie derivative linear linearly independent M₁ manipulated inputs matrix pencil molar flow rate mole fraction nonregular DAE system nonsingular nonsingular matrix obtain ODE model ODE systems P₁ Ps+1 QSS conditions rank rate-based model reactant regular DAE systems relative order representation respectively reversible reaction scalar functions set of algebraic setpoint singular slow dynamics slow subsystem smooth solution solvability specifically standard singularly perturbed state-space realization system of Eq.3.1 temperature Theorem time-varying two-time-scale system underlying algebraic constraints vector fields yields zero dynamics