An adaptive design for quantized feedback control of uncertain switched linear systems

Moustakis, Nikolaos; Yuan, Shuai; Baldi, Simone

doi:10.1002/acs.2860

Cited by 14 publications

(14 citation statements)

References 54 publications

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“…, then ∈ (0, 1) follows from (18). Recall (21) for Ξ, we find that (44) and (46) are ensured by |e k−1 | ⩾ Ξ max{H k−1 , Δ k−1 }. Then, combining with (43)-(47) yields that…”

Section: Lemmamentioning

confidence: 83%

“…Remark 6. In other works, [14][15][16]18,20,21 the quantizer updates in the zooming-in stage are time-triggered based on the work of Liberzon. 13 In that framework, one must explicitly calculate the time length for the trajectory moving from the outer level set to the inner one.…”

Section: Lemma 2 Design the Update Law Of Dynamic Quantization Parammentioning

confidence: 99%

“…(i) The quantizer may reach saturation because of the abrupt system switches, disturbances, and state estimation errors. (ii) The time-triggered update policy of quantizer provided in other works [13][14][15][16]18,20,21 becomes inefficient because, in the presence of switches and disturbances, the explicit calculation of time period between any two updates is hard and conservative. (iii) The online detection of quantizer saturation is expected to avoid due to its drawbacks and the disturbance can lead to nonzero steady-state errors as obtained in the aforementioned works.…”

Section: Introductionmentioning

confidence: 99%

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Stabilization of switched nonlinear systems with dynamic output quantization and disturbances

Lian

2020

Intl J Robust & Nonlinear

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Summary This paper studies the problem of quantized output feedback stabilization for a disturbed discrete‐time switched system. With the quantized output measurement, an extended state current estimator is constructed to estimate the state and disturbance. In the presence of switches and disturbances, the design of quantization scheme becomes a big challenge to avoid the quantizer saturation and guarantee the control precision. In this setup, the well‐applied time‐triggered method to design the update policy of dynamic quantization parameter is hard to implement. We solve the above problem by proposing a novel event‐triggered update policy of quantization parameter, by which the quantizer update is adaptive to the switching signal and the bound of disturbance difference. Consequently, the quantizer saturation is avoided and, combined with the designed dwell‐time switching law, the system state can converge to the origin. The proposed method is illustrated by a numerical example.

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“…, then ∈ (0, 1) follows from (18). Recall (21) for Ξ, we find that (44) and (46) are ensured by |e k−1 | ⩾ Ξ max{H k−1 , Δ k−1 }. Then, combining with (43)-(47) yields that…”

Section: Lemmamentioning

confidence: 83%

Section: Lemma 2 Design the Update Law Of Dynamic Quantization Parammentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Stabilization of switched nonlinear systems with dynamic output quantization and disturbances

Lian

2020

Intl J Robust & Nonlinear

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“…It is important to note that the gains do not necessarily converge to the same values as in the previous simulation: this is a well-know result in adaptive control approaches, since, in the absence of a persistency of excitation condition, convergence of the tracking error to zero might be achieved without the need to converge to the actual parameters (cf. [24][25][26][27][28][29][30] and references therein). In other words, adaptive synchronization does not require k i , l i , c i and g i j to converge to k * i , l * i , c * i and g * i j .…”

Section: Numerical Examplementioning

confidence: 99%

“…Repeating this zooming in, we can obtain asymptotic stabilization. Recently, adaptive approaches to quantization have been proposed for standalone systems via different techniques, namely passification-based adaptive control [24,25], direct adaptive control [26][27][28], adaptive backstepping [29,30], or sliding mode [31]. However, such approaches have not been studied for networks of uncertain and heterogeneous units.…”

Section: Introductionmentioning

confidence: 99%

Adaptive hybrid synchronisation in uncertain Kuramoto networks with limited information

Baldi

Tao

Kosmatopoulos

2019

IET Control Theory & Applications

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In this work we study adaptive synchronization in networks with Kuramoto units whose parameters are unknown and where measurements are quantized over the communication network (therefore information is limited). We show that, for an undirected connected graph, synchronization is enabled via appropriate adaptive protocols that counteract the effect of heterogeneity, uncertainty, and quantized information. In particular, to address heterogeneity and uncertainty, appropriate adaptive laws are designed to drive the network to frequency synchronization; to address quantized information, a dynamic quantizer is introduced and embedded into the adaptive mechanism via a zooming-based approach (therefore with hybrid dynamics). The resulting protocol ends up being an adaptive hybrid synchronization strategy that can be distributed throughout the network: the quantizer is co-designed with the controller, as typical for zooming-based quantization. The proposed integrated adaptation+quantization protocol guarantees asymptotic synchronization to a desired frequency, which is shown via an appropriately designed distributed Lyapunov function. Numerical simulations are also used to demonstrate the effectiveness of the proposed protocol.

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Robust control approach for stability and power quality improvement in electric car

Sahoo

Routray

Rout

2020

Int Trans Electr Energ Syst

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This paper proposes a combined electrical and mechanical control approach (ECA and MCA) fora multiconverter multimachine system (MCMM) basedon electric car (EC) operation. ECA is designed by using a fuzzy logic-based robust controller for improving the power quality (PQ) of the EC. The main role of the ECA is to compute the actual speed and angle of the machine by sensing the voltage and current component of the system. For PQ improvement, the ECA also facilitates active and reactive current components by sensing the appropriate machine torque, wheel torque, and dc-link voltage of the inverter. In addition to that, MCA is proposed for improving the stability of the EC by properly tracking the wheel torque during dynamic state conditions like slippery road conditions. To design MCA, the appropriate mathematical modeling of the car is proposed by considering the wheel and road contact, gearbox, the different force acting on the car, and mechanical coupling between the car components. A torque model approach is suggested to track the appropriate torque produced on the wheel. The performance of the proposed controller with the EC modeling is tested by using MATLAB/Simulink software under different road conditions. K E Y W O R D S electrical control approach (ECA), fuzzy logic controller (FLC), mechanical control approach, modeling of an electric car (EC), power quality (PQ), torque model approach (TMA) 1 | INTRODUCTION Recently, looking at the pollution, global warming, and the alertness regarding nonconventional energy conservation, power engineers are paying more attention to the design of zero-polluting ECs. Therefore, to improve the stability and performance of the ECs, the lesser weight EC modeling is gaining interest on an augmented pace. 1 Lots of EC modeling methods are proposed to facilitate a wider driving choice and smoother operation. 2 As shown in Figure 1, the design of EC modeling is divided into two sections like electric machines (EM) as a drive system and mechanical parts as gearbox, coupling, and EC wheel. The essential parameters like battery, central control structures (by combining electrical and mechanical system), tachometer, and voltage source inverters (VSIs) are used to design the complete EC. To drive the EC wheel, single EM is used for each of the wheels. 3 However, the complex structure, heavier weight, and increased cost 4 decrease the stability and performance. For achieving optimum performance, and looking at the simplicity and easier control action, DC machines are gaining interest in the traction of ECs. 5 However, the DC-machines need to be supplied with high starting torque. Therefore, for getting a robust/lighter model, high efficiency, and reduced cost EC,

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An adaptive design for quantized feedback control of uncertain switched linear systems

Cited by 14 publications

References 54 publications

Stabilization of switched nonlinear systems with dynamic output quantization and disturbances

Stabilization of switched nonlinear systems with dynamic output quantization and disturbances

Adaptive hybrid synchronisation in uncertain Kuramoto networks with limited information

Robust control approach for stability and power quality improvement in electric car

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