Robust <i>H</i><sup> ∞ </sup> control via a stable decentralized nonlinear output feedback controller

Harno, Hendra G.; Petersen, Ian R.

doi:10.1002/rnc.2879

Cited by 6 publications

(1 citation statement)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A decentralized adaptive controller is proposed for a class of uncertain interconnected systems with unknown modeling errors and interactions (Cai et al, 2022), where the proposed controller can ensure that all closed-loop system signals are bounded by using backstepping methods. Harno and Petersen (2014) demonstrate that the decentralized controller can exploit known nonlinearities and interconnections between subsystems without treating them as uncertainties. A decentralized state estimator is proposed by Liu and Yu (2018) for spatially interconnected systems with arbitrary connection relations, and an optimization problem based on linear matrix inequalities (LMIs) is constructed for the computations of improved subsystem parameter matrices.…”

Section: Introductionmentioning

confidence: 99%

Decentralized static output feedback controller design for linear interconnected systems

Fadhilah,

Adzkiya,

Arif

et al. 2023

International Journal of Applied Mathematics and Computer Scien

View full text Add to dashboard Cite

Many interconnected systems in the real world, such as power systems and chemical processes, are often composed of subsystems. A decentralized controller is suitable for an interconnected system because of its more practical and accessible implementation. We use the homotopy method to compute a decentralized controller. Since the centralized controller constitutes the starting point for the method, its existence becomes very important. This paper introduces a non-singular matrix and a design parameter to generate a centralized controller. If the initial centralized controller fails, we can change the value of the design parameter to generate a new centralized controller. A sufficient condition for a decentralized controller is given as a bilinear matrix inequality with three matrix variables: a controller gain matrix and a pair of other matrix variables. Finally, we present numerical examples to validate the proposed decentralized controller design method.

show abstract

Section: Introductionmentioning

confidence: 99%

Decentralized static output feedback controller design for linear interconnected systems

Fadhilah,

Adzkiya,

Arif

et al. 2023

International Journal of Applied Mathematics and Computer Scien

View full text Add to dashboard Cite

show abstract

Robust H_∞ control for uncertain switched nonlinear polynomial systems: Parameterization of controller approach

Zhu

Hou

2018

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

Summary This paper considers the global feedback exponential stabilization and L2 gain disturbance attenuation problems of the switched nonlinear polynomial systems with passive and nonpassive subsystems for any given average dwell time. In the existing result, it needs that there exists at least one open loop passive subsystem in the switched nonlinear system, which is unnecessary for the switched nonlinear polynomial system in this paper because the passivity of the subsystem can be obtained according to the passivity‐based feedback dissipative Hamiltonian realization. In addition, a parameterization of controller approach–based feedback exponential stabilization method of nonlinear polynomial system is described and utilized such that the Lyapunov function of the passive subsystem possesses the required decay rate to exponentially stabilize the switched nonlinear polynomial system. Comparing with the controller designed with the existing method, the obtained controller in this paper has much simpler structure and better performance. An example simulation is provided to illustrate the effectiveness of the proposed approach.

show abstract

Non-fragile reliable robust $$H_\infty $$ controller synthesis for linear uncertain systems with integral quadratic constraints

Harno

Sim

2021

Int. J. Dynam. Control

View full text Add to dashboard Cite

Robust H^∞ control via a stable decentralized nonlinear output feedback controller

Cited by 6 publications

References 37 publications

Decentralized static output feedback controller design for linear interconnected systems

Decentralized static output feedback controller design for linear interconnected systems

Robust H_∞ control for uncertain switched nonlinear polynomial systems: Parameterization of controller approach

Non-fragile reliable robust $$H_\infty $$ controller synthesis for linear uncertain systems with integral quadratic constraints

Contact Info

Product

Resources

About

Robust H ∞ control via a stable decentralized nonlinear output feedback controller

Cited by 6 publications

References 37 publications

Decentralized static output feedback controller design for linear interconnected systems

Decentralized static output feedback controller design for linear interconnected systems

Robust H∞ control for uncertain switched nonlinear polynomial systems: Parameterization of controller approach

Non-fragile reliable robust $$H_\infty $$ controller synthesis for linear uncertain systems with integral quadratic constraints

Contact Info

Product

Resources

About

Robust H^∞ control via a stable decentralized nonlinear output feedback controller

Robust H_∞ control for uncertain switched nonlinear polynomial systems: Parameterization of controller approach