To Sample or not to Sample: Self-Triggered Control for Nonlinear Systems

By Adolfo Anta Martinez, Paulo Tabuada. IEEE Transactions on Automatic Control, 2008

886 citations recorded by the source corpus.

Feedback control laws have been traditionally implemented in a periodic fashion on digital hardware. Although periodicity simplifies the analysis of the mismatch between the control design and its digital implementation, it also leads to conservative usage of resources such as CPU utilization in the case of embedded control. We present a novel technique that abandons the periodicity assumption by using the current state of the plant to decide the next time instant in which the state should be measured, the control law computed, and the actuators updated. This technique, termed self-triggered control, is developed for two classes of nonlinear control systems, namely, state-dependent homogeneous systems and polynomial systems. The wide applicability of the proposed results is illustrated in two well known physical examples: a jet engine compressor and the rigid body.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/2740a5b422eca7e5aaeb43a99e59d343a102a4bb

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In Control and Systems Engineering

Citations in the corpus

Output-Based and Decentralized Dynamic Event-Triggered Control With Guaranteed $\mathcal{L}_{p}$- Gain Performance and Zeno-Freeness (2017, background): “Examples of resource-aware control strategies include self-triggered control, see [7]–[12], and event-triggered control, see [13]–[18] for some early approaches, and see [19] for a recent overview.”
Stabilization of Stochastic Nonlinear Delay Systems With Exogenous Disturbances and the Event-Triggered Feedback Control (2019, background): “, [15], [18], [22], [24], and [26]), but the evolution of the ratio |ε (t) | |x (t) | was required to be bounded.”
Dynamic Triggering Mechanisms for Event-Triggered Control (2013, methodology): “Also, dynamic ETM could be used to derive new algorithms for self-triggered control systems [1], [8], [15].”
Periodic event-triggered control for nonlinear systems (2013, neutral): “In order to stabilize the origin of (15), we tak e the triggering condition as in [1], [2] which is obtained usi ng the Lyapunov functionV (x) := 1 2 (x1+x3) (2)+ 1 2 (x2−x 2 3) (2)+ x23: Γ(x, e) := |e| 2 − 0.”
A Novel Event-Triggered Transmission Scheme and ${\cal L}_{2}$ Control Co-Design for Sampled-Data Control Systems (2013, background): “Remark 5: In [6], [12], Anta and Tabuada gave the the following triggered condition:”
Dynamic Event-Triggered and Self-Triggered Control for Multi-agent Systems (2019, background): “To overcome the drawback of continuous monitoring of the triggering law, self-triggered control were proposed for single-agent systems [20]–[22].”
A Small-Gain Approach to Robust Event-Triggered Control of Nonlinear Systems (2015, methodology): “For eventtriggered control, ISS has been used to describe the influence of data-sampling to control [4], [20], [21].”
Event-triggered communication and control of networked systems for multi-agent consensus (2017, background): “V̇ ≤ ∇V (x) · F (x, k(x)) +G(x)‖e‖, (7)”
Event-triggered control for multi-agent systems (2009, result): “Similar results on deterministic event-triggered feedback control have appeared in [26],[25],[10],[16],[1].”
To Transmit or Not to Transmit: A Discrete Event-Triggered Communication Scheme for Networked Takagi–Sugeno Fuzzy Systems (2013, background): “Thus, more limited network resources can be released to other communication task in need [4].”
Recent developments on the stability of systems with aperiodic sampling: An overview (2017, methodology): “Self-triggered control mechanisms with stability guarantees have been proposed in [264,265,6,64,23] using the Input/Output stability approach, in [166,161,255] using discrete-time Lyapunov functions, in [61,63] using convex embeddings, in [219] using a hybrid formulation and in [62] using a time-del”
Model-Based Event-Triggered Control for Systems With Quantization and Time-Varying Network Delays (2013, methodology): “For the definition of ISS we use the next [21]: Definition 2: A smooth function is said to be an ISS Lyapunov function for the dynamical system , , , if there exist class functions , , and satisfying”