Decentralized robust controller design for a class of interconnected uncertain systems: with unknown bound of uncertainty

Gong, Zhiming; Chen, Wen; Mital, Dinesh P.

doi:10.1109/9.506237

Cited by 69 publications

(34 citation statements)

References 12 publications

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“…In this section, we consider the two inverted pendulums which are coupled by a spring and subject to two distinct inputs as shown in Figure 1 (see, e.g., Gavel & Siljak, 1989;Gong, Wen, & Mital, 1996;Shi & Singh, 1993;Wu, 2009). Here, the time-varying parameters a(t) and k(t) are assumed to be unknown.…”

Section: An Illustrative Examplementioning

confidence: 99%

Decentralised robust stabilisation of uncertain large-scale interconnected time-delay systems with unknown upper bounds of uncertainties

2015

International Journal of Systems Science

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The problem of decentralised robust stabilisation is considered for a class of uncertain large-scale time-delay interconnected dynamical systems. In the paper, the upper bounds of delayed state perturbations, uncertainties, interconnection terms, and external disturbances are assumed to be completely unknown, and the delays are assumed to be any non-negative constants. For such a class of uncertain large-scale time-delay interconnected systems, a new method is presented whereby a class of adaptation-free decentralised local robust state feedback controllers can be constructed. In addition, it is also shown that the solutions of uncertain large-scale time-delay interconnected systems can be guaranteed to be uniformly ultimately bounded. Finally, as an application to the practical mechanical systems, some simulations of a numerical example are provided to demonstrate the validity of the theoretical results.

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Section: An Illustrative Examplementioning

confidence: 99%

Decentralised robust stabilisation of uncertain large-scale interconnected time-delay systems with unknown upper bounds of uncertainties

2015

International Journal of Systems Science

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“…From the literature, decentralized robust control for interconnected linear systems with uncertainties satisfying the so-called strict matching conditions was investigated in [3,17,56] and references cited therein. The interconnections among subsystems treated in these works are mostly bounded by first-order polynomials.…”

Section: Class IImentioning

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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“…With the aim of stabilizing the overall system while ensuring a satisfactory performance, the guaranteed cost control approach (GCC) has been recently considered (see (Gong et al, 1996), (Mukaidini et al, 2002), (Xie et al, 1999) and (Yang et al, 2000)). The guaranteed cost control is concerned with the design of a state feedback controller such that the closed-loop system is stable and an upper bound of a quadratic cost function is minimized.…”

Section: Introductionmentioning

confidence: 99%

Reliable Guaranteed Cost Control for Parameterized Interconnected Systems With Lmi Characterization

Pujol

Rodellar

Rossell

2005

IFAC Proceedings Volumes

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This paper presents the design of a reliable decentralized state feedback control for a class of uncertain interconnected polytopic continous systems. A model of failures in actuators is adopted which considers outages or partial degradation in independent actuators. The control is developed using the concept of guaranteed cost control and a new LMI characterization using polytopic Lyapunov functions. Copyright

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Decentralized robust controller design for a class of interconnected uncertain systems: with unknown bound of uncertainty

Cited by 69 publications

References 12 publications

Decentralised robust stabilisation of uncertain large-scale interconnected time-delay systems with unknown upper bounds of uncertainties

Decentralised robust stabilisation of uncertain large-scale interconnected time-delay systems with unknown upper bounds of uncertainties

Decentralized Control of Nonlinear Systems I

Reliable Guaranteed Cost Control for Parameterized Interconnected Systems With Lmi Characterization

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