Robust State-Dependent Switching of Linear Systems With Dwell Time

Allerhand, Liron I.; Shaked, U.

doi:10.1109/tac.2012.2218146

Cited by 215 publications

(150 citation statements)

References 21 publications

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“…Lemma 2 (Theorem 2 [24]) Given system (1) switched at t = t k to σ(t k ) = p and assume there exist a collection of positive definite matrices P p,l , p = 1, 2, . .…”

Section: Design Of Two-layer Switching Rulementioning

confidence: 99%

“…Moreover, an estimate of state decay is given by x(t) a b e − αp 2 (t−t 0 ) x t 0 , where a, b are given by (23) and (24). If α p = 0, Theorem 1 will be deduced to Lemma 2.…”

Section: Conditionmentioning

confidence: 99%

“…Thus, if the statedependent switching rule can obey a dwell time and the switching delay in each active interval is no more than the dwell time, then we might maintain the performance of the system. Inspired by the state-dependent switching rule with a dwell time constraint technique in [24], we propose a two-layer architecture and a two-layer switching rule to deal with the mismatched switching problem.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Design of two-layer switching rule for stabilization of switched linear systems with mismatched switching

2014

Control Theory Technol.

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A two-layer switching architecture and a two-layer switching rule for stabilization of switched linear control systems are proposed, under which the mismatched switching between switched systems and their candidate hybrid controllers can be allowed. In the low layer, a state-dependent switching rule with a dwell time constraint to exponentially stabilize switched linear systems is given; in the high layer, supervisory conditions on the mismatched switching frequency and the mismatched switching ratio are presented, under which the closed-loop switched system is still exponentially stable in case of the candidate controller switches delay with respect to the subsystems. Different from the traditional switching rule, the two-layer switching architecture and switching rule have robustness, which in some extend permit mismatched switching between switched subsystems and their candidate controllers.

show abstract

“…Lemma 2 (Theorem 2 [24]) Given system (1) switched at t = t k to σ(t k ) = p and assume there exist a collection of positive definite matrices P p,l , p = 1, 2, . .…”

Section: Design Of Two-layer Switching Rulementioning

confidence: 99%

“…Moreover, an estimate of state decay is given by x(t) a b e − αp 2 (t−t 0 ) x t 0 , where a, b are given by (23) and (24). If α p = 0, Theorem 1 will be deduced to Lemma 2.…”

Section: Conditionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Design of two-layer switching rule for stabilization of switched linear systems with mismatched switching

2014

Control Theory Technol.

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“…According to specific operation of switched systems, two different control modes have been developed: restricted switching and arbitrary switching. When the switching signal is observable and can be designed as a part of control input, strong stability results can be derived by restricted switching, such as [6][7][8][9]. On the contrary, when the switching signal is unknown or uncontrollable, arbitrary switching control mode becomes the key to ensure the stabilizability of switched systems.…”

Section: Introductionmentioning

confidence: 99%

Observer-based adaptive arbitrary switching fuzzy tracking control for a class of switched nonlinear systems

Wang

Jiao

2015

Int. J. Control Autom. Syst.

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This paper focuses on the output tracking problem for a class of uncertain switched nonlinear systems with arbitrary switching signal and unavailable states. By designing a proper reducedorder observer and introducing fuzzy approximation, a systematic adaptive domination recursive method is presented to explicitly construct a common smooth dynamic output feedback controller, such that under arbitrary switching, all error variables of the corresponding closed-loop switched systems are semi-globally, uniformly, and ultimately bounded (SGUUB), as well as the tracking error may be adjusted to a small neighborhood of the origin. Compared with the existing results, the proposed control scheme overcomes the restrictions on nonlinear functions of systems only relating to the output variable and switching signal subjecting to certain dwell time. Its effectiveness and feasibility are demonstrated by both a numerical example and a chemical system.

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“…The systems appear in variety of applications, such as dc/dc convertors, FET transistors and HiMAT vehicle [15][16][17]. A switched system consists of a finite number of subsystems and a switching law orchestrating switching between these subsystems [18].…”

Section: Introductionmentioning

confidence: 99%

Fault detection for discrete-time switched systems with sensor stuck faults and servo inputs

Zhong

Yang

2015

ISA Transactions

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Robust State-Dependent Switching of Linear Systems With Dwell Time

Cited by 215 publications

References 21 publications

Design of two-layer switching rule for stabilization of switched linear systems with mismatched switching

Design of two-layer switching rule for stabilization of switched linear systems with mismatched switching

Observer-based adaptive arbitrary switching fuzzy tracking control for a class of switched nonlinear systems

Fault detection for discrete-time switched systems with sensor stuck faults and servo inputs

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