Robust Control Of Several Classes Of Switch Systems With Time Delays  Posted on:20120310  Degree:Master  Type:Thesis  Country:China  Candidate:Y L Liu  Full Text:PDF  GTID:2178330335962635  Subject:Operational Research and Cybernetics  Abstract/Summary:  PDF Full Text Request  As an important class of hybrid systems, the switched systems can be used to model many actual complex control systems with continuous dynamics and discrete dynamics in industrial processes; Multicontroller switching control technology can effectively cope with highly complex systems or systems with large uncertainties and the progress of computer control technology immensely promote the study of control systems. Time delay presences widespread in various industrial processes, and is the main source of instability and poor performances of control systems, so the study on time delay systems have received considerable attention by many researchers, and became a hot issue in control areas and control engineering. Timedelay switched systems is a class of complex dynamic systems with the interaction of continuous dynamics and discrete dynamics and time delays which make the analysis and control of switched systems difficult, hence the study on robust control of switched systems with time delays is of great significance. Based on the switched LyapunovKrasovskii functions, linear matrix inequality technology, the cone complementary linearization algorithm, this dissertation investigates the asymptotic stability of two classes of linear discretetime switched system with timevarying delays under a given H_âˆžperformance, construct the switched feedback controllers which meet the given H_âˆžperformance. Finally, several numerical examples are given to illustrate the correctness and validity of the proposed results. The main work and research results of this thesis lie in the following:Chapter 3 investigates the robustly stability and statefeedback stabilization for a class of linear discretetime switched systems with timevarying delays. The system matrixes of all subsystems, are norm bounded and timevarying. By applying full switched LyapunovKrasovskii function method, two sufficient conditions constructing the statefeedback controller are given for the underlying system under arbitrary switched signals. All the conditions are delaydependent, the first condition is in terms of LMI, and the second one is nonlinear, an iterative algorithm is given by cone complementary linearization algorithm. The obtained controller not only guarantee the corresponding closedloop system asymptotically stable, but also a prescribed H_âˆžnoiseattenuation level bound is guaranteed. Finally, a numerical example is given to compare the result with previous results in [9] and illustrate our results with less conservative, another example is given to compare the two methods of constructing statefeedback controller and illustrate the first method is better than the second one.Chapter 4 concern with the outputfeedback control of uncertain linear discretetime switched systems with multiple timevarying delays, the uncertainty is normbounded. By applying switched LyapunovKrasovskii function method, the sufficient conditions of constructing the output feedback controller of multiply timedelay switched systems under arbitrary switch signals is given. The obtained controller not only guarantee the corresponding closedloop system asymptotic stable, but also a prescribed H_âˆžnoiseattenuation level bound is guaranteed. The obtained condition is delaydependent but nonlinear. The cone complementary linearization algorithm is used to transform the feasibility problem of the nonlinear matrix inequalities into a nonlinear program problem subject to linear matrix inequalities,and an iterative algorithm is given to solve this nonlinear program problem.  Keywords/Search Tags:  Linear discretetime switched systems, Switched Lyapunov functions, Normbounded uncertainties, H_âˆžcontrol, Multiple timevarying delays, Linear matrix inequality  PDF Full Text Request  Related items 
 
