State deadbeat control of nonlinear systems: Construction via sets |
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| Authors: | S Emre Tuna |
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| Affiliation: | 1. School of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou 221116, PR China;2. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, PR China;3. Institute of Systems Science, Northeastern University, Shenyang 110819, PR China;1. Dipartimento di Informatica, Sistemi e Produzione, Università degli Studi di Roma “Tor Vergata”, Via del Politecnico 1, 00133 Roma, Italy;2. CNRS, LAAS, 7 avenue du Colonel Roche, F-31400 Toulouse, France;3. Univ de Toulouse, LAAS, F-31400 Toulouse, France;4. Control and Instrumentation Research Group, University of Leicester, Department of Engineering, University Road, Leicester, LE1 7RH, UK |
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| Abstract: | A geometric generalization of the discrete-time linear deadbeat control problem is studied. The proposed method to generate a deadbeat tracker for a given nonlinear system is constructive and makes use of sets that can be computed iteratively. For demonstration, derivations of the deadbeat feedback law and tracker dynamics are provided for an example system. Based on the method, a simple algorithm that computes the deadbeat gain for a linear system with scalar input is given. |
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