Adaptive interconnection and damping assignment passivity‐based control for linearly parameterized discrete‐time port controlled Hamiltonian systems via I&I approach

Author(s):  
Mohammed Alkrunz ◽  
Yaprak Yalçın

2015 ◽  
Vol 23 ◽  
pp. 149-170 ◽  
Author(s):  
Yaprak YALÇIN ◽  
Leyla GÖREN SÜMER ◽  
Salman KURTULAN


2020 ◽  
Vol 19 (4) ◽  
pp. 123-132 ◽  
Author(s):  
Oscar Danilo Montoya ◽  
Walter Gil-González ◽  
Federico Martin Serra

In this paper it is presented the design of a controller for a reaction wheel pendulum using a discrete-time representation via optimal control from the point of view of passivity-based control analysis. The main advantage of the proposed approach is that it allows to guarantee asymptotic stability convergence using a quadratic candidate Lyapunovfunction. Numerical simulations show that the proposed inverse optimal control design permits to reach superiornumerical performance reported by continuous approaches such as Lyapunov control functions and interconnection,and damping assignment passivity-based controllers. An additional advantageof the proposed inverse optimal controlmethod is its easy implementation since it does not employ additional states. It is only required a basic discretizationof the time-domain dynamical model based on the backward representation. All the simulations are carried out inMATLAB/OCTAVE software using a codification on the script environment.



2013 ◽  
Vol 58 (5) ◽  
pp. 1139-1153 ◽  
Author(s):  
Satoshi Satoh ◽  
Kenji Fujimoto


2006 ◽  
Vol 55 (8) ◽  
pp. 673-680 ◽  
Author(s):  
Dina Shona Laila ◽  
Alessandro Astolfi


2008 ◽  
Vol 53 (11) ◽  
pp. 2527-2542 ◽  
Author(s):  
Romeo Ortega ◽  
Arjan van der Schaft ◽  
Fernando Castanos ◽  
Alessandro Astolfi


2021 ◽  
Vol 54 (19) ◽  
pp. 19-24
Author(s):  
Thanh Sang Nguyen ◽  
Ngoc Ha Hoang ◽  
Chee Keong Tan ◽  
Mohd Azlan Bin Hussain


Author(s):  
Matías Nacusse ◽  
Alejandro Donaire ◽  
Sergio Junco

"This paper contributes a passivity-based approach to obtain a control law that robustifies Port-Hamiltonian (pH) control systems under external and state-dependent disturbances using disturbance observers (DO). A twostage design procedure is used to define the Disturbance Observed Based Control (DOBC) scheme. In the first stage a passivity based control law, called Interconnection and Damping assignment (IDA-PBC) is designed in the Bond Graph (BG) domain via BG prototyping, using an undisturbed model of the physical system. This stage is not the main issue of this paper and therefore the IDA-PBC law will be assumed to be known. The second stage, the main result of this paper, consists in the design of the DO and its integration with the IDA-PBC control law. The DO is derived in the BG domain via the integration of the residual signal computed from a Diagnostic Bond Graph (DBG). The methodology is developed through examples in the BG domain and formalized and extended in the pH framework."





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