optimal control with engineering applications pdf

... corresponding necessary con- ditions for the optimality of a solution of an optimal control problem. The generalization from constrained static optimization to optimal control is very straightforward, indeed. ... (t)v(t)  dt is simultaneously minimized with respect to u and maximized with respect to v, when both of the players are allowed to use state-feedback control. Remark: As in the LQ regulator problem, ... x 2 (0) = x 20 to a final state with x 2 1 (t b )+x 2 2 (t b ) ≤ d 2 and such that the cost functional J(u, v)=t b is minimized with respect to u(.) and maximized with respect to v(.). This problem

Ngày tải lên: 12/08/2014, 16:21

... P Geering Optimal Control with Engineering Applications Hans P Geering Optimal Control with Engineering Applications With 12 Figures 123 Hans P Geering, Ph.D Professor of Automatic Control and ... open-loop optimal controls with the help of Pontryagin’s Minimum Principle, the conversion of optimal open-loop to optimal closed-loop controls, and the direct design of optimal closed-loop optimal controls ... Exercises 22 Optimal Control 23 2.1 Optimal Control Problems with a Fixed Final State 24 2.1.1 The Optimal Control Problem of Type A 24

Ngày tải lên: 05/03/2014, 18:20

... The Optimal Control Problem We only consider optimal control problems where the initial time ta and the initial state x(ta ) = xa are specified Hence, the most general optimal control ... formulated as follows: Optimal Control Problem: Find an admissible optimal control u : [ta , tb ] → Ω ⊆ Rm such that the dynamic system described... y 2 = 4 2 Optimal Control In this chapter, ... Principle, several optimal control problems are solved completely Solving an optimal control problem... Eliminate locally optimal solutions which are not globally optimal • If possible,

Ngày tải lên: 27/06/2014, 08:20

... The Optimal Control Problem We only consider optimal control problems where the initial time ta and the initial state x(ta ) = xa are specified Hence, the most general optimal control ... formulated as follows: Optimal Control Problem: Find an admissible optimal control u : [ta , tb ] → Ω ⊆ Rm such that the dynamic system described... y 2 = 4 2 Optimal Control In this chapter, ... Principle, several optimal control problems are solved completely Solving an optimal control problem... Eliminate locally optimal solutions which are not globally optimal • If possible,

Ngày tải lên: 27/06/2014, 18:20

... 1.1.1 The Optimal Control Problem We only consider optimal control problems where the initial time t a and the initial state x(t a )=x a are specified. Hence, the most general optimal control problem ... nicely reveals that the solution of an optimal control prob- lem always is “as bad” as the considered formulation of the optimal control problem. This optimal control problem lacks any sustainability ... the most general optimal control problem can be formulated as follows: Optimal Control Problem: Find an admissible optimal control u :[t a ,t b ] → Ω ⊆ R m such that the dynamic system described

Ngày tải lên: 12/08/2014, 16:21

... existence of an optimal control, because they cover a vast field of relevant applications. — These theorems have been proved in [26]. 66 2 Optimal Control Theorem 1. The following optimal control problem ... . — The following optimal control problem has a globally optimal solution: Find an optimal control u :[t a ,t b ] → Ω ⊂ R m , such that the dynamic system ˙x(t)=f(x(t),u(t)) with the continuously ... intersection. — Thus, Theorem 2 covers our time -optimal and fuel -optimal control problems as well. 2.8 Non-Scalar-Valued Cost Functional 67 2.8 Optimal Control Problems with a Non-Scalar-Valued Cost Functional

Ngày tải lên: 12/08/2014, 16:21

... 76 3 Optimal State Feedback Control Suppose that we have found the unique globally optimal solution with the optimal control trajectory u o :[t a ,t b ] → Ω ⊆ R m and the corresponding optimal ... original optimal control problem into an antecedent optimal control problem over the time interval [t a ,τ] and a succedent optimal problem over the interval [τ, t b ]. The antecedent optimal control ... coincides with the succedent part of the optimal solution of the original problem. 2) The optimal solution of the antecedent optimal control problem coincides with the antecedent part of the optimal

Ngày tải lên: 12/08/2014, 16:21

... (t) with the boundary condition K(t b )=F. 3.2 Hamilton-Jacobi-Bellman Theory 83 3.2.4 The Time-Invariant Case with Infinite Horizon In this section, time-invariant optimal control problems with ... nonlinear optimal control law is depicted for the example where a =1,b =1,q =8,andβ = 1 with the LQ regulator gain g = 4 and the large-signal gain g ∞ = − 4 3 . 86 3 Optimal State Feedback Control ... time-invariant optimal control problem with an infinite horizon for a nonlinear dynamic system with a non-quadratic cost functional, which is structured as follows: Find a time-invariant optimal state

Ngày tải lên: 12/08/2014, 16:21

... PRINCIPAL COMPONENT ANALYSIS – ENGINEERING APPLICATIONS Edited by Parinya Sanguansat                       Principal Component Analysis – Engineering Applications Edited by Parinya Sanguansat ... quality with different  (a) Original image, (b) Logarithmic image, (c) Segmented binary target image, (d) Segmented Target intensity image, (e) Enhanced image with   , (f) Enhanced image with ... recognition performances may be improved Group training samples with equal intervals for each class within 0 ~ 360 , then extract features within the same azimuth range for the three types of training

Ngày tải lên: 28/06/2014, 17:20

... Jain,(2010) ANNBased Optimal Energy Control. .. Networks - Industrial and Control Engineering Applications 4 Design of control system The key challenge to deploy the designed control system ... processing units with variable strengths, and they are attractive for applications in system identification and control. Artificial Neural Networks - Industrial and Control Engineering Applications ... the plant that we want to control The flow of control system design with system identification is shown in Fig 5 In the control. .. Flow of Control System Design with System Identification

Ngày tải lên: 20/06/2014, 00:20

... deeply with some branches of sciences and engineering, for example, geometry, economics, electrical engineering, and so on Optimal control problems appear in various disciplines of sciences and engineering ... , ∂3 Li ∂L ∂ ρ yi ρα0 x , ∂4 Li ∂L ∂ ∇h yi ρα0 x q 3.18 The Optimal- Control Problem Our aim in this section is to find the optimal control variable u x defined on the H-time scale, which minimizes ... is a constant and L and G are functions with continuous first and second partial derivatives with respect to all of their arguments To find the optimal control, we define a modified performance index

Ngày tải lên: 21/06/2014, 20:20

... displaced from a higher potential to a lower potential. To avoid confusion with regard to the sign of power, the electrical engineering community uniformly adopts the passive sign convention, which ... straight vertical line with a voltage axis intercept corresponding to the source voltage. Similarly, the i-v characteristic of an ideal current source is a horizontal line with a current axis intercept ... 88 ◦ , with a closed-throttle angle of 2 ◦ and a wide-open throttle angle of 90 ◦ . [...]... Fundamentals of Electric Circuits in series Thus, it is important that you become acquainted with

Ngày tải lên: 19/01/2014, 19:20

... U.S Tobacco Control Laws Database: Research Applications History of the Database  Collection started in early 1980’s  Database ... Collection  98% rate of coverage among cities with a population of 75,000 or more  Smaller cities are a challenge, but we have laws in the database from cities with populations as low as 30 Data Uses ... anti-smoking attitudes and quitting behaviours," Tobacco Control, April 2007  "Economic effect of a smoke-free law in a tobacco-growing community," Tobacco Control, February 1, 2007  "Smoke-free laws and

Ngày tải lên: 16/03/2014, 16:20

... instrument or electronic nose consists of a computer-controlled multi-sensor Artificial Neural Networks - Industrial and Control Engineering Applications 206 array, which exhibits a differential ... while developing the optimal ANN model. The optimal model ANN consisted two hidden layers with four neurons in each layer. This model was able to predict thermal conductivity with a mean relative ... Networks - Industrial and Control Engineering Applications İsmail Hakkı Boyacı, Gulum... by using artificial neural networks, Journal of Food Engineering, 81(4), pp 72 8 -73 4

Ngày tải lên: 20/06/2014, 00:20

... CADALINE has faster response with a considerable lower overshoot, as can be seen in Fig. 10. Kalman Artificial Neural Networks - Industrial and Control Engineering Applications 276 approach ... same limitation as the perceptron. 5.2 Networks with linear activation functions: the delta rule For a single layer network with an output unit with a linear activation function the output is ... π ωω π ωω ⎧ ⎪ ⎪ ⎪ =≤≤ ⎨ ⎪ ⎪ = ⎪ ⎩ (48) Artificial Neural Networks - Industrial and Control Engineering Applications 272 where 0 ω is the base angular frequency and x ω is the actual

Ngày tải lên: 20/06/2014, 00:20

... Industrial and Control Engineering Applications 304 Furthermore, the final allocation of reactive power to loads at hour 12 using developed RBFN is presented in Table 12 along with the result ... and Control Engineering Applications divided into quarters accordingly and then newly-arranged As a result the training and validation set cover a high oscillating part with high ... overall measured output Fig 22 Layer approach with correlating divisions 328 Artificial Neural Networks - Industrial and Control Engineering Applications Fig 23 Scheme of applied parallel

Ngày tải lên: 20/06/2014, 00:20

... used In section 4.3, control experiments with neural models of linear IMC as well as IMC with neural models are demonstrated 3.2 Predictive control Predictive control is used in two ... the knowledge of controlled variable y(k), course of its reference w(k) till w(k+N-1) and neural model of controlled system) a perform control simulation with discrete controller and ... Industrial and Control Engineering Applications presented in [Rivera et al., 1986] IMC for nonlinear systems is introduced in [Economou et al., 1986] and IMC with neural networks.

Ngày tải lên: 20/06/2014, 00:20

... Networks - Industrial and Control Engineering Applications 5.7 ART2 system dynamics The mathematical representation... Industrial and Control Engineering Applications [25] Budiyono, ... Networks - Industrial and Control Engineering Applications 412 (b) Forward velocity (u) (c) Vertical velocity (w) System Identification of NN-based Model Reference Control of RUAV during ... Networks - Industrial and Control Engineering Applications 416 (b) Lateral Velocity (v) (c) Roll Angular Rate (P) System Identification of NN-based Model Reference Control of RUAV during

Ngày tải lên: 20/06/2014, 00:20

... government take significant action to control pollution problems with the Water Pollution Control Act of 1948 and the following Federal Water Pollution Control Act (FWPCA) of 1956, which set ... control and mitigate pollution from dumping, etc. Initial efforts involved control of the transportation of solid food wastes for swine, for control of trichinosis. Modern regulations began with ... research and assisted in state pollution control with construction of wastewater treatment facilities. In 1965, the Water Quality Act provided national policy for control of water pollution. Focusing

Ngày tải lên: 20/06/2014, 03:20

... include the treatment of 4-chlorophenol with horseradish peroxidase (194), pentachlorophenol with horseradish peroxidase (195), and various phenol substi- tutions with immobilized peroxidases (196,197). ... for the immobilized enzymes. As with other enzyme applications, the reaction times and subsequent remediation efficiencies are greater than those typically achieved with Copyright 2002 by Marcel ... materials for many pollution control applications The emphasis in this chapter will be on new technologies which have been or will be useful for pollution control in the mining industry

Ngày tải lên: 20/06/2014, 03:20