A singular perturbation based adaptive strategy for bounded controller design in feedback linearizable systems

2021 ◽  
Author(s):  
Madan Mohan Rayguru ◽  
Balakrishnan Ramalingam ◽  
Mohan Rajesh Elara
Keyword(s):  
Singular Perturbation ◽  
Controller Design ◽  
Adaptive Strategy ◽  
Feedback Linearizable Systems

scholarly journals Passive Control andε-Bound Estimation of Singularly Perturbed Systems with Nonlinear Nonlinearities

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Linna Zhou ◽  
Chunyu Yang
Keyword(s):  
Singular Perturbation ◽  
Passive Control ◽  
Controller Design ◽  
Design Method ◽  
Perturbation Parameter ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Storage Function ◽  
Rlc Circuit ◽  
Perturbed Systems

This paper considers the problems of passivity analysis and synthesis of singularly perturbed systems with nonlinear uncertainties. By a novel storage function depending on the singular perturbation parameterε, a new method is proposed to estimate theε-bound, such that the system is passive when the singular perturbation parameter is lower than theε-bound. Furthermore, a controller design method is proposed to achieve a predefinedε-bound. The proposed results are shown to be less conservative than the existing ones because the adopted storage function is more general. Finally, an RLC circuit is presented to illustrate the advantages and effectiveness of the proposed methods.

scholarly journals A Random Access Protocol Approach to Stochastic Jumping Systems with Singular Perturbations

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Saijiang Kai
Keyword(s):  
Markov Process ◽  
Singular Perturbation ◽  
Singular Perturbations ◽  
Controller Design ◽  
Random Access ◽  
Control Law ◽  
Access Protocol ◽  
Design Issue ◽  
Random Access Protocol

This paper focuses on the stochastic jumping systems with singular perturbation subject to a random access protocol. The key challenge with controller design issue of stochastic jumping systems is how to assess the coordination of communication orders. In this study, a joint Markov process is established, and a novel control law is proposed. In contrast with the existing methods, the developed controller is more general. Finally, a practical example is exhibited to show the effectiveness of the achieved theories.

scholarly journals Lower order controller design using weighted singular perturbation approximation

2019 ◽  
Vol 27 (5) ◽  
pp. 3935-3950
Author(s):  
Muhammad Raees Furquan AZHAR ◽  
Umair ZULFIQAR ◽  
Muwahida LIAQUAT
Keyword(s):  
Singular Perturbation ◽  
Lower Order ◽  
Controller Design ◽  
Perturbation Approximation
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