Synthesis of output feedback gain-scheduling controllers based on descriptor LPV system representation

Masubuchi, Izumi; Akiyama, T.; Saeki, Masami

doi:10.1109/cdc.2003.1272243

Cited by 54 publications

(47 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There, a standard and thus solvable SDP problem is constructed as an approximation of a given robust SDP problem. The matrix-dilation approach is one of such approaches and was proposed by the group of the first author [9,23] based on the robust control techniques of [18,19,21,36]. An advantage of this approach is availability of an upper bound on the approximation error, that is, the discrepancy between the optimal values of the original robust SDP problem and its approximate problem.…”

Section: Introductionmentioning

confidence: 99%

Exploiting Sparsity in the Matrix-Dilation Approach to Robust Semidefinite Programming

Oishi

Isaka

2007

2007 American Control Conference

View full text Add to dashboard Cite

A computationally improved approach is proposed for a robust semidefinite programming problem whose constraint is polynomially dependent on uncertain parameters. By exploiting sparsity, the proposed approach gives an approximate problem smaller in size than the matrix-dilation approach formerly proposed by the group of the first author. Here, the sparsity means that the constraint of a given problem has only a small number of nonzero terms when it is expressed as a polynomial in the uncertain parameters. This sparsity is extracted with a special graph called a rectilinear Steiner arborescence, based on which a reduced-size approximate problem is constructed. The accuracy of the approximation can be analyzed quantitatively. In particular, it is shown that the accuracy can be improved to any level by dividing the parameter region into small subregions.

show abstract

Section: Introductionmentioning

confidence: 99%

Exploiting Sparsity in the Matrix-Dilation Approach to Robust Semidefinite Programming

Oishi

Isaka

2007

2007 American Control Conference

View full text Add to dashboard Cite

show abstract

“…The affine parameter dependence on δ in the matrices E, B 1 , B, C, D 1 and D 2 can be transferred to A matrix [32]. Besides, as is pointed in [33], the class of state-space parameter dependent model whose coefficient matrices are rational functions of a parameter vector can also be described by the singular system (17). (18) is said to be robustly extended strictly positive real (RESPR), if its transfer function, defined as G yw ðδ; zÞ ¼ ðC þ DFÞðzE À AðδÞÀBFÞ À 1 B 1 þ D 1 , is well defined and ESPR with regard to δ contained in the hype-rectangle Δ.…”

Section: Application To Parameter Dependent Discrete-time Singular Symentioning

confidence: 98%

Positive real control for discrete-time singular systems with affine parameter dependence

Feng

2015

Journal of the Franklin Institute

View full text Add to dashboard Cite

“…Linear parameter varying (LPV) descriptor systems [18,19] can provide good design freedom to achieve desired system robustness, closed-loop stability and performance. The power of this approach stems from the combined use of differential and algebraic equations in descriptor systems and the potential to account for rational system parameter variations when using LPV modelling and feedback for estimation or control.…”

Section: Introductionmentioning

confidence: 99%

An active fault tolerant control approach to an offshore wind turbine model

Shi

Patton

2015

Renewable Energy

View full text Add to dashboard Cite

a b s t r a c tThe paper proposes an observer based active fault tolerant control (AFTC) approach to a non-linear large rotor wind turbine benchmark model. A sensor fault hiding and actuator fault compensation strategy is adopted in the design. The adapted observer based AFTC system retains the well-accepted industrial controller as the baseline controller, while an extended state observer (ESO) is designed to provide estimates of system states and fault signals within a linear parameter varying (LPV) descriptor system context using linear matrix inequality (LMI). In the design, pole-placement is used as a time-domain performance specification while H ∞ optimization is used to improve the closed-loop system robustness to exogenous disturbances or modelling uncertainty. Simulation results show that the proposed scheme can easily be viewed as an extension of currently used control technology, with the AFTC proving clear "added value" as a fault tolerant system, to enhance the sustainability of the wind turbine in the offshore environment.

show abstract

Synthesis of output feedback gain-scheduling controllers based on descriptor LPV system representation

Cited by 54 publications

References 9 publications

Exploiting Sparsity in the Matrix-Dilation Approach to Robust Semidefinite Programming

Exploiting Sparsity in the Matrix-Dilation Approach to Robust Semidefinite Programming

Positive real control for discrete-time singular systems with affine parameter dependence

An active fault tolerant control approach to an offshore wind turbine model

Contact Info

Product

Resources

About