Computational optimal control : tools and practice by S Subchan; R Żbikowski; Wiley InterScience (Online service)

By S Subchan; R Żbikowski; Wiley InterScience (Online service)

Show description

Read or Download Computational optimal control : tools and practice PDF

Similar aeronautical engineering books

Advances in Applied Mechanics, Vol. 42

The most important advancements within the fields of fluid and stable mechanics are scattered all through an array of technical journals, usually making it tough to discover what the true advances are, specifically for a researcher new to the sphere or anyone drawn to getting to know the cutting-edge in reference to purposes.

Global Positioning System: Signals, Measurements, and Performance

The second one variation of this generally praised booklet deals a accomplished creation to GPS: the process, signs, receivers, measurements, and algorithms for estimation of place, pace, and time. it truly is meant as a textbook for a senior- or graduate-level engineering direction and a self-study advisor for training engineers.

Competition and Investment in Air Transport: Legal and Economic Issues

This e-book addresses rising criminal and financial matters in festival and funding in air shipping, opposed to the backdrop of the position governments and airways should still play in fending off protectionism and inspiring innovation and creativity. It evaluates present tendencies in air shipping and the path the is taking within the 21st century.

Additional resources for Computational optimal control : tools and practice

Example text

Xn , . ), and the operations of vector addition and scalar multiplication generalise immediately. The question of extending the definition of vector length x from ( ni=1 xi2 )1/2 to ∞ 2 1/2 is less straightforward. This is because the infinite series 2 ( ∞ i=1 xi ) i=1 xi may not n 2 converge, while the finite sum i=1 xi is always a number. A useful infinite-dimensional vector space only allows those infinite sequences which are quadratically convergent. It then 26 COMPUTATIONAL OPTIMAL CONTROL: TOOLS AND PRACTICE holds that x = ∞ xi2 1/2 <∞ y = and i=1 ⇒ x+y = ∞ yi2 1/2 <∞ i=1 ∞ (xi + yi )2 1/2 < ∞, i=1 so that the finite length property is preserved under vector addition, despite the infinite dimension.

38 COMPUTATIONAL OPTIMAL CONTROL: TOOLS AND PRACTICE Direct Collocation Approach The basic approach for solving optimal control problems by direct collocation is to transform the optimal control problem into a sequence of nonlinear constrained optimisation problems by discretising the state and/or control variables. Two approaches will be considered. The first approach is based on the discretisation of both the state and control variables. The following derivation is based mainly on that of von Stryk and Bulirsch (1992).

G. Teo et al. (1999) have studied control parameterisation by introducing variable switching time into equivalent standard optimal control problems involving piecewise constant or piecewise linear control functions with pre-fixed switching times. Control parameterisation with the direct shooting method has been studied and applied for mechanical multi-body systems by Gerdts (2003) where the control is parameterised by the B-spline function. Further references include Goh and Teo (1988), Teo et al.

Download PDF sample

Rated 4.61 of 5 – based on 13 votes