Global uniform input-to-state stabilization of large-scale interconnections of MIMO generalized triangular form switched systems

Dashkovskiy, Sergey; Pavlichkov, Svyatoslav

doi:10.1007/s00498-012-0078-y

Cited by 39 publications

(30 citation statements)

References 41 publications

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“…It should be mentioned that multiple‐input–multiple‐output (MIMO) nonlinear systems widespread exist in real practical control systems, and they usually possess switching characteristics. Although some scholars have studied MIMO switched nonlinear systems, contrasted with the great number of works in existing literatures on adaptive control design for single‐input–single‐output switched uncertain nonlinear systems, there were relatively fewer works that focus on MIMO switched systems. The reason why there are lacking of works is that the controller design for MIMO systems is quite complicated.…”

Section: Introductionmentioning

confidence: 99%

Adaptive control design for MIMO switched nonlinear systems with full state constraints

Chen

Liu

2019

Adaptive Control & Signal

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This paper presents an adaptive fuzzy control approach of multiple-inputmultiple-output (MIMO) switched uncertain systems, which involve time-varying full state constraints (TFSCs) and unknown disturbances. In the design procedure, the fuzzy logic systems are adopted to approximate the unknown functions in the systems. The adaptive fuzzy controller is set up by backstepping technique. According to the tangent barrier Lyapunov function (BLF-Tan), a novel adaptive MIMO switched nonlinear control algorithm is designed. Under the rule of arbitrary switchings and the proposed control laws, it is demonstrated that all signals in the resulted system are semiglobally uniformly ultimately bounded (SGUUB) and the tracking error converges to a small neighborhood of zero with TFSCs. Furthermore, the simulation example validates the effectiveness of presented control strategy. KEYWORDS full state constraints, fuzzy logic systems (FLSs), multiple-input-multiple-output (MIMO), switched systems, tangent barrier Lyapunov function (BLF-Tan) Int J Adapt Control Signal Process. 2019;33:1583-1600.wileyonlinelibrary.com/journal/acs

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Section: Introductionmentioning

confidence: 99%

Adaptive control design for MIMO switched nonlinear systems with full state constraints

Chen

Liu

2019

Adaptive Control & Signal

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“…In the literature, the existing results require that the power p.t/ is time invariant and known, as discussed in [6][7][8][9][10][11][12][13][14][15][16][17]. Specifically, [6][7][8][9] investigated the case when the power p.t/ D 1, and [10][11][12][13][14][15][16][17] focused on the case of p.t/ D constant > 1, with the aid of adding a power integrator technique and recursive observer design. Recently, the work in [4] developed an interval homogeneity-based control scheme to solve the global state feedback stabilization problem of systems (1) under the assumption that the power is an unknown constant in a known real interval.…”

Section: Introductionmentioning

confidence: 99%

Smooth output feedback stabilization for a class of nonlinear systems with time‐varying powers

Chen

Qian

Lin

et al. 2017

Intl J Robust & Nonlinear

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Summary This paper investigates the global asymptotic stabilization problem for a class of nonlinear systems with time‐varying powers. First, adding a power integrator technique is revamped to design a smooth state feedback controller, which is implementable with only upper and lower bounds of the time‐varying powers. When the system state is not fully available and the time‐varying power is exactly known, a smooth output feedback controller constituted by a state feedback and a nonlinear state observer is constructed to globally stabilize the system. Copyright © 2017 John Wiley & Sons, Ltd.

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“…Stability and stabilization are two fundamental and important research issues in the control community. Various approaches have been proposed for solving these problems of switched systems, such as the common Lyapunov function (CLF) approach [17,18,19,20], the multiple Lyapunov function (MLF) approach [21,22,23], the average dwell time (ADT) approach [24,25,26,27,28,29], and so on [30,31,32,33,34,35].…”

Section: Introductionmentioning

confidence: 99%

A new control method for state-constrained nonlinear switched systems with application to chemical process

Niu

Zhao

Fan

et al. 2015

International Journal of Control

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This paper presents a new control method for a class of nonlinear switched systems in strict feedback form with an state constraint. In the proposed approach, a nonlinear mapping is first introduced to transform the problem of controlling the switched system with state constraint to a new problem of regulating the transformed system without a constraint. By using the backstepping technique, the designed state feedback controller ensure that the corresponding closed-loop system is asymptotically stable without violation of the constraint, and that all closed-loop signals keep bounded. Furthermore, we explore the use of a coordinate transformation to deal with an asymmetric state constraint as a generalized approach. In the end, an application example on a chemical process is shown to demonstrate the efficacy of the obtained results.

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Global uniform input-to-state stabilization of large-scale interconnections of MIMO generalized triangular form switched systems

Cited by 39 publications

References 41 publications

Adaptive control design for MIMO switched nonlinear systems with full state constraints

Adaptive control design for MIMO switched nonlinear systems with full state constraints

Smooth output feedback stabilization for a class of nonlinear systems with time‐varying powers

A new control method for state-constrained nonlinear switched systems with application to chemical process

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