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DIGITAL REDESIGN APPROACH FOR CONTROL SYNTHESIS FOR THE LTI SYSTEM
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DIGITAL REDESIGN(DR) APPROACH FOR CONTROL SYNTHESIS FOR THE LTI SYSTEM WITH THE UNCERTAIN NON-LINEAR TIME-VARYING PERTURBATION • DESIGN DETAILS • The design of sampled-data control system can be classified into three categories. • 1. In the first category, a continuous-time controller is designed using continuous-time control theories, and then it is discretised to obtain a discrete-time controller for the digital implementation. This method is referred to as emulation. • 2. The second is to discretise the continuous-time plant first, and then to design a discrete-time controller for the discretised plant, which is called the direct discrete-time design approach. • 3. The third is a sampled-data design, which can effectively consider the inter-sample behaviour in design. Among them, the most popular approach in industry is the emulation method because of its simplicity. However, the main obstacle to emulation design is that in practice, small sampling period may be required to guarantee the stability and hence it is not achievable by using the available hardware. • A digital redesign (DR) has been introduced as an alternative to the emulation technique. Its main objective is how to effectively convert a stabilizing continuous-time control into an equivalent sampled-data counterpart in terms of the state matching without loss of the satisfactory performance of continuous-time control. • In this Matlab design is based on digital redesign (DR) to solve the problem for a linear time-invariant (LTI) system with a perturbation that is an uncertain non-linear time-varying function but linearly bounded. Given a continuous-time linear controller robustly stabilizing the origin of the perturbed system for all admissible perturbations, the concerned DR problem is to design the sampled-data linear controller making trajectories of the continuous-time and the sampled-data non-linear control systems close, or at least robustly stabilizing the perturbed system. The approach interprets the DR problem as the stabilization problem considering the convergence rate for error dynamics between the continuous-time and the sampled-data non-linear control systems. Sufficient conditions for the stabilization are derived and formulated in the form of linear matrix inequalities (LMIs). A numerical example is considered in the Matlab design to demonstrate the effectiveness of the DR approach technique. • • REFERENCES • Reference Paper-1: Robust stabilisation of sampled-data control systems with non-linear perturbations via digital redesign • Author’s Name: D.W. Kim, J.B. Park and Y.H. Joo • Source: IET • Year: 2009 • 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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