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Optimal Intermittent Feedback via Least Square Policy Iteration
Published in Domagoj Tolić, Sandra Hirche, Networked Control Systems with Intermittent Feedback, 2017
The principal idea is to interconnect two thoughtfully constructed systems and invoke the small‐gain theorem [88]. Basically, we want to interconnect dynamics (8.7) and dynamics (8.9) - (8.10) . To that end, let us expand the right side of (8.9): e˙(t)=-Cc1[Aclee(t-d)+Ac1ξ(t-d)+Acldξ(t-2d)+ω(t-d)], $$ \dot{e}(t) = - C^{{c1}} [A^{{cle}} e(t - d) + A^{{c1}} \xi (t - d) + A^{{cld}} \xi (t - 2d) + \omega (t - d)] , $$
Model-Based Event-Triggered Control of Networked Systems
Published in Marek Miskowicz, Event-Based Control and Signal Processing, 2018
Eloy Garcia, Michael J. McCourt, Panos J. Antsaklis
tradition in nonlinear control to use output feedback methods to analyze feedback systems. These methods include the passivity theorem and the small-gain theorem, among others. While these analysis methods are not directly applicable to systems in the modelbased framework, they are applicable to a modified version. Specifically, a signal-equivalent feedback system is derived for analyzing systems using output feedback. While passivity and finite-gain analysis are attractive options, this section focuses on the more general framework of dissipativity theory.
An adaptive integral sliding mode FTC scheme for dissimilar redundant actuation system of civil aircraft
Published in International Journal of Systems Science, 2019
Salman Ijaz, Fuyang Chen, Mirza Tariq Hamayun, Lin Yan, Cun Shi
The closed loop uncertain system in (23)–(25) is rearranged as where , , and From (27), it is notable that the CLS stability relies on . For an interconnected system, a small gain theorem is utilised to prove CLS (Khalil, 1992). Equation (27) is represented into the transfer function (TF) representation as Since defined in (29) is stable by design. Now, define
Design and Validation of Fractional-Order Control Scheme for DC Servomotor via Internal Model Control Approach
Published in IETE Technical Review, 2019
Robustness analysis is an important issue in evaluating the efficiency of the controller. In fact, the robustness signifies the ability of controller to withstand the parameters variability. There is no doubt that the CRONE principle gives robustness but it does not give information about the limit upto which the process gain can be varied. At this stage, the small gain theorem gives a sufficient condition for robust stability of the feedback system [42].