Static output feedback negative imaginary controller synthesis with an <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e153" altimg="si3.svg"><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:math> norm bound

Ren, Dingchao; Xiong, Junlin; Ho, Daniel W. C.

doi:10.1016/j.automatica.2020.109157

Cited by 13 publications

(3 citation statements)

References 24 publications

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“…The H 2 -norm guaranteed-performance SOF control for hidden Markov jump linear systems (HMJLS) is studied in [32], where the SOFs are parameterized via convex optimization with LMI constraints, under the assumptions of full-rank sensor matrices and an efficient and accurate Markov chain state estimator. In [33], an iterative LMI algorithm is proposed for the SOF problem for LTI continuous-time negative-imaginary (NI) systems with given H ∞ norm-bound on the closed loop, based on decoupling the dependencies between the SOF and the Lyapunov certificate matrix.…”

Section: Introductionmentioning

confidence: 99%

On Parametrizations of State Feedbacks and Static Output Feedbacks and Their Applications

Peretz¹

2022

Control Systems in Engineering and Optimization Techniques

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In this chapter, we provide an explicit free parametrization of all the stabilizing static state feedbacks for continuous-time Linear-Time-Invariant (LTI) systems, which are given in their state-space representation. The parametrization of the set of all the stabilizing static output feedbacks is next derived by imposing a linear constraint on the stabilizing static state feedbacks of a related system. The parametrizations are utilized for optimal control problems and for pole-placement and exact pole-assignment problems.

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Section: Introductionmentioning

confidence: 99%

On Parametrizations of State Feedbacks and Static Output Feedbacks and Their Applications

Peretz¹

2022

Control Systems in Engineering and Optimization Techniques

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Section: Introductionmentioning

confidence: 99%

Control Systems in Engineering and Optimization Techniques

2022

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signals-frequency and amplitude of the stator voltage generated by various algorithms, the frequency and amplitude of the rotor current, the natural slip, and the rotational speed of the motor rotor. This made it possible to assess the effectiveness of interpreting asynchronous electric drives and methods of their regulation as objectively as possible. Over the past 25-30 years, numerous articles on this topic have not provided such results.The book can be used as a reference book for several interdisciplinary research areas. We express our sincere thanks to all the contributors, managing editors, and typesetters.

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“…2,3,11 Along this line of research, NI synthesis problem attracted much attention. 12–15 For example, Xiong et al 12 studied the output feedback NI synthesis problem under structural constraints; Ren et al 13 investigated the static output feedback NI synthesis problem with H ∞ performance; Liu et al 15 addressed the robust performance synthesis problem of systems with NI uncertainty; and Bhowmick and Patra 14 dealt with the dynamic output feedback NI synthesis problem in view of linear matrix inequality conditions. Moreover, Mabrok and Petersen 4 utilized a data-driven approach to study the controller synthesis problem of NI systems, and Liu and Xiong 16 dealt with state feedback synthesis problem of α-NI systems.…”

Section: Introductionmentioning

confidence: 99%

Negative imaginariness and positive realness analysis of state-space symmetric systems with interval uncertainty

Liu

Lin

Wang

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part I:

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In this article, the state-space symmetric systems with symmetrical interval uncertainty that have positive real and negative imaginary properties are studied. First, a necessary and sufficient test in view of a state matrix is derived for a state-space symmetric system to be negative imaginary, which allows having poles at the origin. Second, bounds on symmetrical interval uncertainty that guarantee the positive realness and negative imaginariness of state-space symmetric systems are provided. Finally, the main results are illustrated by a resistor–capacitor network and a numerical design example.

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Static output feedback negative imaginary controller synthesis with an H∞ norm bound

Cited by 13 publications

References 24 publications

On Parametrizations of State Feedbacks and Static Output Feedbacks and Their Applications

On Parametrizations of State Feedbacks and Static Output Feedbacks and Their Applications

Control Systems in Engineering and Optimization Techniques

Negative imaginariness and positive realness analysis of state-space symmetric systems with interval uncertainty

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