Control Theory from the Geometric Viewpoint by Andrei A. Agrachev

By Andrei A. Agrachev

This e-book provides a few proof and strategies of the Mathematical keep watch over concept taken care of from the geometric standpoint. The ebook is especially according to graduate classes given through the 1st coauthor within the years 2000-2001 on the overseas university for complicated stories, Trieste, Italy. Mathematical must haves are decreased to straightforward classes of research and Linear Algebra plus a few uncomplicated actual and useful research. No initial wisdom of keep watch over concept or Differential Geometry is needed. What this ebook is ready? The classical deterministic actual international is defined via gentle dynamical structures: the long run in the sort of process is com­ pletely decided by means of the preliminary stipulations. additionally, the close to destiny alterations easily with the preliminary info. If we depart room for "free will" during this fatalistic global, then we come to manage structures. We accomplish that by way of permitting convinced param­ eters of the dynamical approach to alter freely at each immediate of time. that's what we mostly do in genuine existence with our physique, motor vehicle, cooker, in addition to with airplane, technological strategies and so on. we strive to regulate a majority of these dynamical structures! delicate dynamical platforms are ruled by way of differential equations. during this booklet we deal basically with finite dimensional platforms: they're ruled by means of ordi­ nary differential equations on finite dimensional delicate manifolds. A regulate procedure for us is therefore a relatives of standard differential equations. The kin is parametrized through keep watch over parameters.

Show description

Read or Download Control Theory from the Geometric Viewpoint PDF

Similar system theory books

Nonlinear Model Predictive Control: Theory and Algorithms

Nonlinear version predictive keep watch over (NMPC) is common within the technique and chemical industries and more and more for purposes, equivalent to these within the car undefined, which use greater information sampling premiums. Nonlinear version Predictive keep an eye on is a radical and rigorous advent to NMPC for discrete-time and sampled-data structures.

Optimal Sensor Networks Scheduling in Identification of Distributed Parameter Systems

Sensor networks have lately come into prominence simply because they carry the aptitude to revolutionize a large spectrum of either civilian and armed forces purposes. An inventive attribute of sensor networks is the disbursed nature of information acquisition. hence they appear to be preferably ready for the duty of tracking tactics with spatio-temporal dynamics which represent one in all so much basic and significant periods of platforms in modelling of the real-world phenomena.

Dynamic Feature Space Modelling, Filtering and Self-Tuning Control of Stochastic Systems: A Systems Approach with Economic and Social Applications

The literature on platforms turns out to were growing to be nearly expo­ nentially over the last decade and one might query even if there's desire for an additional booklet. within the author's view, many of the literature on 'systems' is both technical in mathematical feel or technical ifF engineering experience (with technical phrases similar to noise, filtering and so on.

Automating with SIMATIC S7-400 inside TIA Portal

This ebook offers a entire description of the configuration of units and community for the S7-400 parts contained in the engineering framework TIA Portal. You the right way to formulate and try a regulate software with the programming languages LAD, FBD, STL, and SCL. The e-book is rounded off by means of configuring the dispensed I/O with PROFIBUS DP and PROFINET IO utilizing SIMATIC S7-400 and information trade through business Ethernet.

Additional resources for Control Theory from the Geometric Viewpoint

Sample text

4 EL AL Cargo Flight LY1862, Source: [40] On October 4 1992, a Boeing 747-200F freighter aircraft operated by Israel’s national airline EL AL (registration: 4XAXG) departed from Amsterdam airport on cargo flight 1862 towards Tel Aviv. Unfortunately, while the aircraft was climbing over the most southern part of the IJsselmeer, the pylon of engine No. 3 broke off due to metal fatigue. Without the usual heavy aircraft inertia, the engine raced in Fig. 26 EL AL B747-200F 4X-AXG, front of the aircraft, but due to the moment c Werner Fischdick of the rotating parts it started tumbling and impacted on engine No.

Moreover it was impossible to set the throttles to idle at finals, 30 T. Lombaerts, H. Smaili, and J. Breeman Fig. 25 Map of the aircraft trajectory, (MT/AA) because this would result again in the natural tendency of the aircraft to make a gradual right hand turn. All this resulted in the situation whereby the aircraft made extremely hard and rough contact with the ground, rolling and tumbling upside down as it broke up. Despite this dramatic end, and although 111 people died in the valiant landing attempt, the superb airmanship of the crew to nurse the aircraft back to the closest airport led to the survival of 185 passengers, including all the four crew on the flight deck.

Agreement MVS control control computer selection, MVS on computer inputs, voting hydraulic actuators, analog integrator states held consistent loss of loss of 4-channel digital computer NMR idenaircraft aircraft tical hardware and software, simple control control analog backup control, voted computer selection, voted computer inputs, voting hydraulic actuators, digital state data exchanged and kept consistent shutdown mechanical Dual standby system engine, overspeed land using protection, one engine shutdown engine Commercial B-757, Aircraft Pratt & Whitney PW2037 jet engine control Manned Space loss of loss of 4-channel NMR, identical hardware Space Shuttle vehicle and vehicle and and software, 5th channel backup using crew crew same hardware but dissimilar software, identical inputs by data bus monitoring, computer outputs compared for crew annunciation only, computer selection by external voters (hydraulic voting actuators, pyro fire electronic discrete voting), exchange and vote of some state data Commercial B-777, Limp home potentially Two separate units, one for pilot and aircraft AIMS on backup hazardous one for copilot displays, each unit uses instruments faulty 3 sets of selfchecking dual processors, display Arinc-659 Safebus to distribute identidata cal inputs, select output from a healthy pair, exchange state data, identical hardware and software in all processing pairs Unmanned Inertial destruction destruction Dual self-checking pair processing, no space upper of vehicle of vehicle dissimilar hardware or software, both stage, flight by range by range pairs must send same critical actuation controller safety safety signals Manned X-33 destruction destruction TMR 3 identical COTS hardware and space Ex- Reusable of vehicle of vehicle software channels, RMS provides same perimental Launch by range by range inputs by exchange and MVS, voting of Vehicle safety safety outputs and some state data, dual actuation, transient fault recovery Manned X-38 Crew loss of ve- loss of ve- NMR 4 identical hardware and softspace Ex- Return Ve- hicle hicle ware channels, identical inputs by experimental hicle change and voting, voting of outputs transient fault and state data recovery, any 2 FCCs can control single fault tolerant actuation.

Download PDF sample

Rated 4.96 of 5 – based on 15 votes