Distributed proportional plus second-order spatial derivative control for distributed parameter systems subject to spatiotemporal uncertainties

• Published in: Nonlinear dynamics Vol. 76; no. 4; pp. 2041 - 2058
• Main Authors: Wang, Jun-Wei, Li, Han-Xiong, Wu, Huai-Ning
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.06.2014; Springer Nature B.V
• Subjects: Algorithms; Automotive Engineering; Classical Mechanics; Computational geometry; Control; Control systems; Convexity; Derivatives; Design engineering; Design optimization; Distributed parameter systems; Dynamical Systems; Engineering; Feedback control; Finite difference method; Liapunov direct method; Linear matrix inequalities; Local optimization; Mathematical analysis; Mathematical models; Matrix methods; Mechanical Engineering; Optimization; Optimization techniques; Original Paper; Parameter uncertainty; Partial differential equations; Robust control; Uncertainty; Vibration; Robust control; Spatiotemporal uncertainty; Linear matrix inequalities (LMIs); Exponential stability; Distributed parameter systems

In this paper, a robust distributed control design based on proportional plus second-order spatial derivative (P-sD 2 ) is proposed for exponential stabilization and minimization of spatial variation of a class of distributed parameter systems (DPSs) with spatiotemporal uncertainties, whose model is...