Output feedback decentralized stabilization: ILMI approach

Cao, Yong‐Yan; Sun, Youxian; Mao, Weijie

doi:10.1016/s0167-6911(98)00050-4

Cited by 59 publications

(32 citation statements)

References 12 publications

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“…Of wide-spread interest have been the control problems of formulating sufficient conditions for computing output feedback control laws using convex optimization methods due to the fact that the necessary and sufficient conditions are known to be non convex, in general. These problems become increasingly more difficult to solve when decentralized information structure constraints are imposed in the control design [2,15,16,49,59,83,85]. These information structures can be found in important applications, such as power systems [86], control of formations of unmanned vehicles [65] and control of large structures [34], to name few.…”

Section: Dynamic Output Feedback: Class Imentioning

confidence: 99%

Decentralized Control of Nonlinear Systems I

Mahmoud¹

2011

Decentralized Systems With Design Constraints

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In this chapter, we examine decentralized control techniques for classes of nonlinear interconnected systems. We identify classes for the system structure along with the underlying assumptions and emphasize the information and design constraints. The subsequent sections focus on a class of large-scale interconnected minimum-phase nonlinear systems with parameter uncertainty and nonlinear interconnections. The uncertain parameters are allowed to be time-varying and enter the systems nonlinearly. The interconnections are bounded by nonlinear functions of states. The problem we address is to design a decentralized robust controller such that the closedloop large-scale interconnected nonlinear system is globally asymptotically stable for all admissible uncertain parameters and interconnections. It is shown that decentralized global robust stabilization of the system can be achieved using a control law obtained by a recursive design method together with an appropriate Lyapunov function.The problem of decentralized output-feedback tracking with disturbance attenuation is addressed for a new class of large-scale and minimum-phase nonlinear systems. Common assumptions like matching and growth conditions are not required for the underlying decentralized system with a diagonal structure. An observer-based decentralized controller design is presented. The proposed decentralized output-feedback laws achieve asymptotic tracking and internal Lagrange stability when the disturbance inputs disappear, and, guarantee external stability in the presence of disturbance inputs. These external stability properties include Sontag's ISS and iISS conditions and standard L 2 -gain property. Classes of Nonlinear Interconnected SystemsIn what follows, we summarize the classes of nonlinear interconnected systems (NIS) that will be treated in the subsequent sections. We focus on the features of each class before addressing the topics of stability analysis and decentralized outputfeedback control design.M.S. Mahmoud, Decentralized Systems with Design Constraints,

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Section: Dynamic Output Feedback: Class Imentioning

confidence: 99%

Decentralized Control of Nonlinear Systems I

Mahmoud¹

2011

Decentralized Systems With Design Constraints

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“…In large systems and particularly in the case of systems with interconnected subsystems, different kinds of oscillatory modes (OM), with specific features, can occur. In decentralized control, there exists the static output feedback decentralized stabilization problem, which is solved (Cao et al, 1998). It is addressed using an iterative linear matrix inequality approach together with the derivation of sufficient condition for static output feedback decentralized stabilizability for linear time-invariant large-scale systems.…”

Section: Important Areasmentioning

confidence: 99%

A Survey of Decentralized Adaptive Control

Perutka¹

2010

New Trends in Technologies: Control, Management, Computational Intelligence and Network Systems

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“…The structured control problem is defined as the problem of finding a controller such that the structure of the controller is specified a priori, such as in decentralized control and fixed-order control [4][5][6]. The multiobjective control problem with the controller structure is defined as a combination of the above problems, for example, mixed H 2 =H 1 PID control and simultaneous stabilization by decentralized feedback [6,7].…”

Section: Introductionmentioning

confidence: 99%

“…In most cases they can be represented by biaffine matrix inequalities (BMIs) or quadratic matrix inequalities (QMIs) [1,5,6]. However, the biaffine or quadratic matrix inequality optimization problems are non-convex and most of them are known to be NP-hard [8].…”

Section: Introductionmentioning

confidence: 99%

“…In References [1,9], common Lyapunov matrices were used to obtain multiobjective controls. In References [2,10] and Reference [5], iterative LMI (ILMI) approaches were proposed for multiobjective controls and decentralized output feedback control, respectively. As a global search method, a genetic algorithm was proposed for mixed H 2 =H 1 PID control in Reference [7].…”

Section: Introductionmentioning

confidence: 99%

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A nonlinear minimization approach to multiobjective and structured controls for discrete‐time systems

Lee

Кwon

2004

Intl J Robust & Nonlinear

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SUMMARYIn this paper, a nonlinear minimization approach is proposed for multiobjective and structured controls for discrete-time systems. The problem of finding multiobjective and structured controls for discrete-time systems is represented as a quadratic matrix inequality problem. It is shown that the problem is reduced to a nonlinear minimization problem that has a concave objective function and linear matrix inequality constraints. An algorithm for the nonlinear minimization problem is proposed, which is easily implemented with existing semidefinite programming algorithms. The validity of the proposed algorithm is illustrated by comparisons with existing methods. In addition, applications of this work are demonstrated via numerical examples.

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Output feedback decentralized stabilization: ILMI approach

Cited by 59 publications

References 12 publications

Decentralized Control of Nonlinear Systems I

Decentralized Control of Nonlinear Systems I

A Survey of Decentralized Adaptive Control

A nonlinear minimization approach to multiobjective and structured controls for discrete‐time systems

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