Robust static output feedback <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si23.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="script">H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:math> control design for linear systems with polytopic uncertainties

Chang, Xiao‐Heng; Park, Ju H.; Zhou, Jianping

doi:10.1016/j.sysconle.2015.08.007

Cited by 193 publications

(114 citation statements)

References 32 publications

(72 reference statements)

Supporting

Mentioning

107

Contrasting

Unclassified

Order By: Relevance

“…Theorem 1. For a prescribed positive value , if there exist positive scalars , and parameter-dependent matrices (17) and (18) hold for all ( ,̂) ∈ Λ t anḋ∈ Λ d , then the controller (̂) whose state space matrices are given in (22) makes the closed-loop system  cl ( ,̂) exponentially stable and satisfies (4) for all combinations of admissible trajectories and[…”

Section: Proposed Methodsmentioning

confidence: 99%

“…Thus, the satisfaction of (18) implies that (10) holds. Note that Assumption 1 guarantees that L 4 (̂) not to appear in Φ 2 , which in return preserves the linearity of (18). Similarly, performing a congruence transformation on (9) by T yields (17).…”

Section: Proposed Methodsmentioning

confidence: 99%

“…To summarize, we see that, for the choice (31)(a) if (28) and either (29) or (30) hold, then (17) and (18) with s = 1 are satisfied with the same value of . Similarly, choosing (31)(b) will result (17) and (18) for s = 2.…”

Section: Theorem 2 If the Conditions In Lemma 3 Hold For Some Positimentioning

confidence: 99%

See 2 more Smart Citations

Gain‐scheduled continuous‐time control using polytope‐bounded inexact scheduling parameters

Sadeghzadeh

2018

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

Summary This paper investigates the problem of gain‐scheduled output feedback control design for continuous‐time linear parameter varying systems. The scheduling parameters are supposed to be measured in real time with absolute uncertainties and proportional uncertainties, simultaneously. Using a nonlinear transformation, the problem is formulated in terms of solutions to a set of parameter‐dependent linear matrix inequalities, exploiting parameter searches for two scalar values. H∞‐type problem is treated using parameter‐dependent Lyapunov and auxiliary matrices. One of the advantages of the presented method lies in its less conservatism in comparison with the available approaches. Some numerical examples are given to illustrate the effectiveness and advantage of the proposed method.

show abstract

Section: Proposed Methodsmentioning

confidence: 99%

Section: Proposed Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Gain‐scheduled continuous‐time control using polytope‐bounded inexact scheduling parameters

Sadeghzadeh

2018

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

show abstract

“…Total Stabilizability simplexes of Example 3 f 2 f 1 n = 2, n u = 2 n = 3, n u = 3 n = 4, n u = 2 n y = 1, r = 2 n y = 1, r = 3 n y = 2, r = 2 Proposed algorithm 70 71 60 Theorem 8 in the work of Dong and Yang 1 48 38 49 P-K iteration in the work of Sadabadi and Peaucelle 36 36 33 32 Theorem 1 in the work of Trofino 20 34 32 33 Theorem 1 in the work of Chang et al 29 35 32 39 . This example compares the feasibility of the proposed algorithm with some of previous LMI-based methods.…”

Section: Figurementioning

confidence: 99%

“…This issue is due to the coupling between the Lyapunov function and the controller structure parameters. 22 In other works, [23][24][25][26][27][28][29][30] robust SOF controllers have been proposed for some special structure of uncertain spaces that result in nonconvex problems. These research studies have used LMI approaches to specific design of the robust SOF controller.…”

Section: Introductionmentioning

confidence: 99%

Output feedback controller for polytopic systems exploiting the direct searching of the design space

Abolpour

Dehghani

Talebi

2019

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

This paper deals with the problem of designing a robust static output feedback controller for polytopic systems. The current research that tackled this problem is mainly based on LMI method, which is conservative by nature. In this paper, a novel approach is proposed, which considers the design space of the controller parameters and iteratively partitions the space to small simplexes. Then, by assessing the stability in each simplex, the solution space for design parameters is directly determined. It has been theoretically proved that, if there exists a feasible solution in the design space, the algorithm can find it. To validate the result of the proposed approach, comparative simulation examples are given to illustrate the performance of the design methodology as compared to those of previous approaches. KEYWORDS exposed edges, output feedback controller, parametric uncertain systems, polytopic systems, stability of polynomial convex spaces 5164

show abstract

Passive state estimation for Markov jumping inertial neural networks under fading channels

Wang

Qin

Fang

et al. 2022

Adaptive Control & Signal

View full text Add to dashboard Cite

SummaryThis article studies the issue of passive state estimation for inertial neural networks with Markov jumping parameters and fading channels. To facilitate the state estimator design, inertial neural networks which is initially described by the second‐order form, is converted into a first‐order one via a suitable variable substitution. Additionally, the channel fading problem, which is caused by the long‐distance propagation of the signal in the network environment, is described by Bernoulli sequences. Then, some sufficient criteria are established in view of the Lyapunov theory, which can guarantee that the estimation error system is stochastically stable and achieves the desired passive performance. A solution of the state estimator design problem for Markov jumping inertial neural networks with fading channels is obtained with the help of the criteria. Finally, an illustrative example is given to verify the effectiveness and validity of the obtained method.

show abstract

Robust static output feedback H∞ control design for linear systems with polytopic uncertainties

Cited by 193 publications

References 32 publications

Gain‐scheduled continuous‐time control using polytope‐bounded inexact scheduling parameters

Gain‐scheduled continuous‐time control using polytope‐bounded inexact scheduling parameters

Output feedback controller for polytopic systems exploiting the direct searching of the design space

Passive state estimation for Markov jumping inertial neural networks under fading channels

Contact Info

Product

Resources

About