Decentralized adaptive tracking of interconnected non-affine systems with time delays and quantized inputs

• Published in: Neurocomputing (Amsterdam) Vol. 141; pp. 194 - 201
• Main Authors: Xiao, Xiao-Shi, Wu, Lianghong
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 02.10.2014; Elsevier
• Subjects: Adaptive fuzzy control; Adaptive systems; Applied sciences; Artificial intelligence; Computer science; control theory; systems; Control system analysis; Control system synthesis; Control theory. Systems; Decentralized; Decentralized control; Differential scanning calorimetry; Dynamic surface control (DSC); Dynamical systems; Dynamics; Exact sciences and technology; Fuzzy; Fuzzy set theory; Minimal-learning-parameters (MLP); Non-affine systems; System theory; Time delay; Tracking; Adaptive fuzzy control; Non-affine systems; Time delay; Minimal-learning-parameters (MLP); Decentralized control; Dynamic surface control (DSC); Parameter estimation; Disturbance rejection; On line; Tracking; Adaptive algorithm; Lyapunov method; Feedback regulation; Adaptive control; Adaptive method; Dynamic method; Fuzzy control; Uncertain system; Fuzzy algorithm; Signal quantization; Set covering; Delay time; Non affine transform; Learning algorithm; Closed loop; Interconnected power system; Delay system; Neural network; Mean value; Backstepping control; Closed feedback; Low pass filter; Fuzzy number; Artificial intelligence; Lyapunov function; Multilayer network
• ISSN: 0925-2312; 1872-8286
• DOI: 10.1016/j.neucom.2014.03.020

The problem of decentralized adaptive tracking is investigated for a class of uncertain non-affine systems with time-delay interconnections, quantized inputs and external disturbances. By using mean value theorem, Lyapunov–Krasovskii functional method and dynamic surface control (DSC) technique along with minimal-learning-parameters (MLP) algorithm, a decentralized adaptive fuzzy tracking controller is synthesized. Stability analysis subject to the effect of input quantization is conducted and the proposed memoryless local controller can guarantee semiglobal uniform boundedness of all signals in the closed-loop interconnected system. The main advantage of the proposed method is that for each ni-th order pure-feedback non-affine subsystem, only one parameter is needed to be estimated on-line regardless of the number of fuzzy rule bases used. This fact, along with the DSC technique, can circumvent the problems of “computation explosion” and “dimension curse” to almost the greatest extent. Finally, simulation study is provided to demonstrate the effectiveness and performance of the proposed scheme.