An Approach to the Design of Nonlinear State-Space Control Systems

Claudiu POZNA^1,2, Radu-Emil PRECUP^3*
¹ Department of Informatics, Széchenyi István University, Egyetem tér 1, 9026 Győr, Hungary
² Department of Automation and Information Technology, Transilvania University of Brasov,
5 Mihai Viteazu Street, corp V, et. 3, 500174 Brasov, Romania
cp@unitbv.ro
³Department of Automation and Applied Informatics, University Politehnica of Timisoara,
2 V. Parvan Avenue, 300223 Timisoara, Romania
radu.precup@upt.ro (^*Corresponding author)

ABSTRACT: This paper proposes a cost-effective approach to the design of nonlinear state-space control systems. The approach is supported by a geometrical illustration of systems evolution in the state space, by the Lyapunov’s direct method, the native behaviour of the controlled process, and the desired system matrix. The method is exemplified through the medium of a real-world process represented by the pendulum-cart system laboratory equipment.

KEYWORDS: State-space control systems, Nonlinear systems, Native behaviour, Lyapunov’s direct method.

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CITE THIS PAPER AS:
Claudiu POZNA, Radu-Emil PRECUP, An Approach to the Design of Nonlinear State-Space Control Systems, Studies in Informatics and Control, ISSN 1220-1766, vol. 27(1), pp. 5-14, 2018. https://doi.org/10.24846/v27i1y201801