Nonovershooting multivariable tracking control for time-varying references

Schmid, Robert; Ntogramatzidis, Lorenzo; Gao, Suzhan

doi:10.1109/cdc.2013.6760084

Cited by 3 publications

(4 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…One specific example of this antistable behaviour means the exosystem satisfies the Poisson stability criterion [10] [11]. However, other types of exosystem structures have been considered and used such as anti-Hurwitz stable (having non-negative real part for its eigenvalue) [25], non-negative real part with semi-simple map [26].…”

Section: Exosystem Selectionmentioning

confidence: 99%

See 1 more Smart Citation

Effect of Two Exosystem Structures on Output Regulation of The Rtac System

EseOghene¹,

Bashir²,

Humble³

et al. 2019

IJCTCM

View full text Add to dashboard Cite

This paper presents results on the output regulation of a single-input multi-output (SIMO) rotationaltranslational actuator (RTAC) system. The results focus primarily on stability and robustness, which are studied in light of the presence of externally generated exogenous input signals. Two exosystem types were investigated and tested. Obtained results answers the question of asymptotic stabilization and tracking of a desired trajectory in the presence of a dynamic exosystem. The results confirmed the working theory of robust stabilization using output feedback techniques, borne out of differential-geometric observer design principles. The utilized design showed good stability results which compares favourably with existing works on RTAC stabilization.

show abstract

Section: Exosystem Selectionmentioning

confidence: 99%

“…Also considered in certain implementations of the regulation problem is the availability or observability of the exosystem states under constrained conditions. The observed states usually used in feedforward arrangement [9] [25]. The current treatment has however investigated linear time invariant exosystem structures.…”

Section: Exosystem Selectionmentioning

confidence: 99%

Effect of Two Exosystem Structures on Output Regulation of The Rtac System

EseOghene¹,

Bashir²,

Humble³

et al. 2019

IJCTCM

View full text Add to dashboard Cite

show abstract

“…The tools that we now present are aimed at replacing R j (λ j ) in condition (24) with particular reachability subspaces of the state-space, which we now define. As in the proof of Lemma 4, for each output j ∈ {1, .…”

Section: N}mentioning

confidence: 99%

“…• Another important extension is the one of time-varying references, along the same lines of the extension that was proposed in [24] of the procedure introduced in [21].…”

Section: Solution To Problemmentioning

confidence: 99%

Globally Monotonic Tracking Control of Multivariable Systems

Ntogramatzidis

Trégouët

Schmid

et al. 2016

IEEE Trans. Automat. Contr.

Self Cite

View full text Add to dashboard Cite

In this paper we present a method for designing a linear time invariant (LTI) state-feedback controller to monotonically track a constant step reference at any desired rate of convergence for any arbitrarily assigned initial condition. Necessary and sufficient constructive conditions are given to deliver a monotonic step response from all initial conditions. This method is developed for multi-input multioutput (MIMO) systems, and can be applied to square and non-square systems, strictly proper and biproper systems, and, importantly, also minimum and non-minimum phase systems. The control methods proposed here show that for MIMO LTI systems the objectives of achieving a rapid settling time, while at the same time avoiding overshoot and/or undershoot, are not necessarily competing objectives.

show abstract