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DESIGN OF BACKSTEPPING CONTROL FOR NON LINEAR SYSTEMS USING MATLAB
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DESIGN DETAILS • In recent adaptive and robust control literature, numerous approaches have been proposed for the design of nonlinear control systems. Among these, adaptive backstepping constitutes a major design methodology. The idea behind backstepping design is that some appropriate functions of state variables are selected recursively as pseudo control inputs for lower dimension subsystems of the overall system. Each backstepping stage results in a new pseudo control design, expressed in terms of the pseudo control designs from the preceding design stages. When the procedure terminates, a feedback design for the true control input results, which achieves the original design objective by virtue of a final Lyapunov function, formed by summing the Lyapunov functions associated with each individual design stage. The backstepping design provides a systematic framework for the design of tracking and regulation strategies, suitable for a large class of state feedback linearizable nonlinear systems. Integrator backstepping is used to systematically design controllers for systems with known nonlinearities with mismatched conditions. The approach can be extended to handle systems with unknown parameters via adaptive backstepping. Apart from the systematic approach used, another important feature of it is its ability to shape performance. However, in spite of the merits explained, there are some problems in the backstepping design method. A major constraint is that certain functions must be “linear in the unknown parameters”, which may not be satisfied in practise. Furthermore, some very tedious analysis is needed to determine “regression matrices”. In the case of backstepping adaptive control, the problem of determining and computing the regression matrices becomes even more acute. • This Matlab design shows the example of two system. • REFERENCES • Reference Paper-1: Singularity of Backstepping Control for Non-Linear Systems • Author’s Name: Wiktor Bolek and Jerzy Sasisadek • Source: IEEE • Year:2002 • Reference Paper-2: Linearization of Non-linear Model of Large Power Plant Station • Author’s Name: BOLEK W., SASIADEK J., WISNIEWSKI T • Source: IEEE • Year:2000 • Request source code for academic purpose, fill REQUEST FORM below, • http://www.verilogcourseteam.com/requ... • If you need Matlab p-code(encrypted files) to check the results, contact us by email to [email protected] • You may also contact +91 7904568456 by WhatsApp Chat, for paid services. • Visit Website: http://www.verilogcourseteam.com/ • Visit Our Social Media • Like our Facebook Page: / verilogcourseteam • Subscribe: / verilogcourseteamelectricalprojects • Subscribe: / verilogcourseteammatlabproject • Subscribe: / verilogcourseteam
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