Optimal control problems), to introduce gradually the needed theoretical concepts that are needed for either a numerical resolution or a sensitivity analysis of the problem so. Section 3 discusses optimal control of a class of bilinear systems via slps, and presents a recursive algorithm to solve the control problem an example is considered in section 4 to. The optimal control problem is considered for bilinear systems affected by sinusoidal disturbances a feedforward-pd optimal disturbance rejection control law based on output.
In this study, the semi-active control design problem is treated in the framework of optimal control theory by using bilinear representation, a quadratic performance index, and a constraint on the sign of the control signal. A solution of bilinear control problems was proposed at first for the investigation of the dynamic processes of nuclear reactors, kinetics of neutrons and heat transfer, see, eg, the book of. The book covers topics of distributed parameter control systems in the areas of simulation, identification, state estimation, stability, control (optimal, stochastic, and coordinated), numerical approximation methods, optimal sensor, and actuator positioning. To talk the optimal control of distributed nuclear of the handbook, we request features we are root about your nurses on the account with our features and page aspects: elementary junctions and links honored in discography and time buildings.
The multivariable control algorithm is composed of non-linear time-varying feedforward and feedback control signals, a reference model of the nuclear reactor and a dynamic observer the non-linear proportional plus integral feedback controller forces the nuclear reactor to follow the response of the reference model. Read four-term bilinear pid controller applied to an industrial furnace, control engineering practice on deepdyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips. Recently, the control of bilinear parabolic partial differential equations via actuation of the diffusive coefficient term, named diffusivity control here, has caught increasing interest the diffusive coefficient term in a parabolic pde is not necessary fixed or uncontrollable. Iterative ensemble control synthesis for bilinear systems anatoly zlotnik y and jr-shin li z abstract an emerging area in mathematical control theory called ensemble control constitutes a class of problems that.
This book is designed to be a comprehensive treatment of linear methods to optimal control of bilinear systems the unified theme of this book is the use of dynamic programming in order to simplify and decompose required computations for the optimal control of bilinear-quadratic systems there are. Optimal control of bi linear systems in this section we shall consider the bilinear system k = ax + ubx x(t ) = (21) where xer and u is a scalar control $ and seek. A new method for the design of stabilizing controllers for multivariable bilinear systems is presented the design method is based on a liapunov stability theorem and the solution of a liapunov equation. The bilinear framework, yielding some interesting results regarding quadratic and h 1 optimal control ,  concerning stabilizability, several studies have addressed.
This book is designed to be a comprehensive treatment of linear methods to optimal control of bilinear systems the book also examines two special classes of bilinear-quadratic control problems. Suboptimal control for bilinear systems is discussed by use of an extension of the linear‐quadratic optimal control index the design method of this bilinear suboptimal control system is presented its application to the moisture control of a paper‐making process is given as an example. Bilinear systems are a special class of non-linear ones that are linear in input and linear in state the attention on bilinear systems has been focused, both for its applicative interest and intrinsic simplicity in reality, bilinear systems can be used to represent a wide range of physical. Optimal control of nuclear reactors (nuclear science & technology) [rr mohler, cn shen] on amazoncom free shipping on qualifying offers. This paper deals with an optimal control problem with quadratic cost for a class of bilinear systems using the orthogonal functions technique the main idea of this technique is that it reduces the problem to solving a system of algebraic equations, thus simplifying the problem.
This book is designed to be a comprehensive treatment of linear methods to optimal control of bilinear systems the unified theme of this book is the use of dynamic programming in order to simplify and decompose required computations for the optimal control of bilinear-quadratic systems. We present such robust pulse designs as an optimal control problem of a continuum of bilinear systems with a common control function we map this control problem of infinite dimension to a problem of polynomial approximation employing tools from geometric control theory. Information and control 21, 211--234 (1972) singular control of bilinear discrete systems t j tarn control systems science and engineering, washington university, st louis, missouri 63130 this paper introduces singular optimal control for bilinear discrete systems. Bilinear systems were an outgrowth of research on control of nuclear propulsion by the ﬁrst author at los alamos national laboratory, where it was discovered in the early 1960s that such models evolve naturally for.
We study a problem of bilinear optimal control for the electronic wave function of an helium atom by an external time dependent electric field the behavior of the atom is modeled by the hartree. A bilinear optimal control problem applied to a time dependent hartree-fock equation coupled with classical nuclear dynamics more by lucie baudouin abstract: we study a problem of bilinear optimal control for the electronic wave function of an helium atom by an external time dependent electric field.
This paper considers the bilinear minimax control problem of an important class of parabolic systems with robin boundary conditions such systems are linear on state variables when the control and disturbance are fixed, and linear on the control or disturbance when the state variables are fixed. - optimal data compression - optimal nonlinear filtering in this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. Optimal control and filtering of linear large scale systems with slow and fast modes (aircrafts, power systems, robots, nuclear reactors, vehicles, chemical reactors) linear stochastic estimation and control of aircrafts under wind disturbances. This paper considers the optimal control problem for the bilinear system based on state feedback based on the concept of relative order of the output with respect to the input, first we change a bilinear system to a pseudo linear system model through the coordinate transformation then based on the.