［2］ LI C，ＲAHN C D． Design of continuous backbone，cabledriven robots［J］． Journal of Mechanical Design，2002， 124( 2) : 265－271．
［3］ NEPPALLI S，JONES B A． Design，construction，and analysis of a continuum robot［C］∥2007 IEEE/ＲSJ International Conference on Intelligent Ｒobots and Systems． Piscataway: IEEE，2007: 1503－1507．
［4］ ＲENDA F，GIOＲELLI M，CALISTI M，et al． Dynamic model of a multibending soft robot arm driven by cables ［J］． IEEE Transactions on Ｒobotics，2014，30 ( 5 ) : 1109－1122．
［5］ CAO K，KANG Ｒ J，BＲANSON D T III，et al． Workspace analysis of tendon-driven continuum robots based on mechanical interference identification［J］． Journal of Mechanical Design，2017，139( 6) : 062303．
［6］ PANG S X，SHANG W W，ZHANG F，et al． Design and stiffness analysis of a novel 7-DOF cable-driven manipulator［J］． IEEE Ｒobotics and Automation Letters，2022，7 ( 2) : 2811－2818．
［7］ OMISOＲE O M，HAN S P，XIONG J，et al． A review on flexible robotic systems for minimally invasive surgery ［J］． IEEE Transactions on Systems，Man，and Cybernetics: Systems，2022，52( 1) : 631－644． ［8］ ZHONG Y，HU L H，XU Y S． Ｒecent advances in design and actuation of continuum robots for medical applications ［J］． Actuators，2020，9( 4) : 142．
［9］ LI S Y，HAO G B． Current trends and prospects in compliant continuum robots: a survey［J］． Actuators，2021， 10( 7) : 145．
［10］ KOLACHALAMA S， LAKSHMANAN S． Continuum robots for manipulation applications: a survey［J］． Journal of Ｒobotics，2020，2020: 1－19．
［11］ WANG J，CHOＲTOS A． Control strategies for soft robot systems［J］． Advanced Intelligent Systems，2022，4 ( 5) : 2100165．
［12］ THUＲUTHEL T G，ANSAＲI Y，FALOTICO E，et al． Control strategies for soft robotic manipulators: a survey ［J］． Soft Robotics，2018，5( 2) : 149－163．
［13］ WEBSTEＲ Ｒ J，JONES B A． Design and kinematic modeling of constant curvature continuum robots: a review ［J］． International Journal of Ｒobotics Ｒesearch，2010， 29( 13) : 1661－1683．
［14］ JONES B A，WALKEＲ I D． Kinematics for multisection continuum robots［J］． IEEE Transactions on Ｒobotics， 2006，22( 1) : 43－55．
［15］ BAJO A，SIMAAN N． Kinematics-based detection and localization of contacts along multisegment continuum robots ［J］． IEEE Transactions on Ｒobotics，2012，28( 2) : 291 －302．
［16］ GOLDMAN Ｒ E， BAJO A， SIMAAN N． Compliant motion control for multisegment continuum robots with actuation force sensing［J］． IEEE Transactions on Ｒobotics， 2014，30( 4) : 890－902．
［17］ QI F，JU F，BAI D M，et al． Kinematic analysis and navigation method of a cable-driven continuum robot used for minimally invasive surgery ［J］． The International Journal of Medical Ｒobotics + Computer Assisted Surgery: MＲCAS，2019，15( 4) : e2007．
［18］ ZHONG G L，PENG B W，DOU W Q． Kinematics analysis and trajectory planning of a continuum manipulator ［J］． International Journal of Mechanical Sciences，2022， 222: 107206．
［19］ BAＲＲIENTOS J，DONG X，AXINTE D，et al． Ｒeal-time kinematics of continuum robots: modelling and validation ［J］． Ｒobotics and Computer-integrated Manufacturing， 2021，67: 102019．
［20］ ＲENDA F，BOYEＲ F，DIAS J，et al． Discrete cosserat approach for multisection soft manipulator dynamics［J］． IEEE Transactions on Ｒobotics，2018，34 ( 6) : 1518 －1533．
［21］ LILGE S，NUELLE K，BOETTCHEＲ G，et al． Tendon actuated continuous structures in planar parallel robots: a kinematic analysis［J］． Journal of Mechanisms and Ｒobotics，2021，13( 1) : 011025．
［22］ BLACK C B，TILL J，ＲUCKEＲ D C． Parallel continuum robots: modeling，analysis，and actuation-based force sensing［J］． IEEE Transactions on Ｒobotics，2018，34 ( 1) : 29－47．
［23］ ZHAO B，ZENG L，WU Z，et al． A continuum manipulator for continuously variable stiffness and its stiffness control formulation［J］． Mechanism and Machine Theory， 2020，149: 103746．
［24］ GIOＲELLI M，ＲENDA F，CALISTI M，et al． Neural network and Jacobian method for solving the inverse statics of a cable-driven soft arm with nonconstant curvature［J］． IEEE Transactions on Ｒobotics，2015，31 ( 4) : 823－834．
［25］ THUＲUTHEL T G，FALOTICO E，MANTI M，et al． Learning closed loop kinematic controllers for continuum manipulators in unstructured environments［J］． Soft Ｒobotics，2017，4( 3) : 285－296．
［26］ WANG Y，YIP H W，ZHENG H，et al． Design and experimental validation of a miniaturized robotic tendondriven articulated surgical drill for enhancing distal dexterity in minimally invasive spine fusion［J］． IEEE/ASME Transactions on Mechatronics， 2021， 26 ( 4 ) : 1858 －1866．
［27］ FALKENHAHN V，MAHL T，HILDEBＲANDT A，et al． Dynamic modeling of bellows-actuated continuum robots using the Euler-Lagrange formalism ［J ］． IEEE Transactions on Ｒobotics，2015，31( 6) : 1483－1496．
［28］ YANG J Z，PENG H J，ZHOU W Y，et al． A modular approach for dynamic modeling of multisegment continuum robots［J］． Mechanism and Machine Theory， 2021， 165: 104429．
［29］ ＲONE W S，BEN-TZVI P． Continuum robot dynamics u- 10 郑 州 大 学 学 报 ( 工 学 版) 2023 年 tilizing the principle of virtual power［J］． IEEE Transactions on Ｒobotics，2014，30( 1) : 275－287．
［30］ LIU Z Z，ZHANG X G，CAI Z Q，et al． Ｒeal-time dynamics of cable-driven continuum robots considering the cable constraint and friction effect［J］． IEEE Ｒobotics and Automation Letters，2021，6( 4) : 6235－6242．
［31］ WANG H S，WANG C，CHEN W D，et al． Threedimensional dynamics for cable-driven soft manipulator ［J］． IEEE/ASME Transactions on Mechatronics，2017， 22( 1) : 18－28．
［32］ GＲAVAGNE I A，ＲAHN C D，WALKEＲ I D． Large deflection dynamics and control for planar continuum robots ［J］． IEEE/ASME Transactions on Mechatronics，2003， 8( 2) : 299－307．
［33］ ＲUCKEＲ D C，WEBSTEＲ III Ｒ J． Statics and dynamics of continuum robots with general tendon routing and external loading［J］． IEEE Transactions on Ｒobotics，2011， 27( 6) : 1033－1044．
［34］ ALQUMSAN A A， KHOO S， NOＲTON M． Ｒobust control of continuum robots using Cosserat rod theory［J］． Mechanism and Machine Theory，2019，131: 48－61．
［35］ JALALI A，JANABI-SHAＲIFI F． Dynamic modeling of tendon-driven co-manipulative continuum robots ［J］． IEEE Ｒobotics and Automation Letters，2022，7 ( 2) : 1643－1650．
［36］ PAＲVAＲESH A，MOOSAVIAN S A A． Linear vs． nonlinear modeling of continuum robotic arms using datadriven method［C］∥2019 7th International Conference on Ｒobotics and Mechatronics ( ICＲoM ) ． Piscataway: IEEE，2020: 457－462．
［37］ THUＲUTHEL T G，FALOTICO E，ＲENDA F，et al． Model-based reinforcement learning for closed-loop dynamic control of soft robotic manipulators［J］． IEEE Transactions on Ｒobotics，2019，35( 1) : 124－134．
［38］ CENTUＲELLI A，AＲLEO L，ＲIZZO A，et al． Closedloop dynamic control of a soft manipulator using deep reinforcement learning［J］． IEEE Ｒobotics and Automation Letters，2022，7( 2) : 4741－4748．
［39］ FICUCIELLO F，MIGLIOZZI A，COEVOET E，et al． FEM-based deformation control for dexterous manipulation of 3D soft objects［C］∥ 2018 IEEE/ＲSJ International Conference on Intelligent Ｒobots and Systems ( IＲOS) ． Piscataway: IEEE，2019: 4007－4013．
［40］ 王亚明． 航空发动机原位检测绳驱动机器人感知与控 制技术研究［D］． 南京: 南京航空航天大学，2020．
WANG Y M． Ｒesearch on perception and control technology of aero-engine in situ inspection rope driven robot ［D］． Nanjing: Nanjing University of Aeronautics and Astronautics，2020．
［41］ WANG Y F，ZHU C X，DING Y，et al． Feedforward neural network assisted configuration transition control of continuum surgical manipulators［C］∥27th International Conference on Mechatronics and Machine Vision in Practice ( M2VIP) ． Piscataway: IEEE，2022: 617－622．
［42］ THOMAS T L，SIKOＲSKI J，ANANTHASUＲESH G K， et al． Design， sensing， and control of a magnetic compliant continuum manipulator［J］． IEEE Transactions on Medical Ｒobotics and Bionics，2022，4 ( 4 ) : 910 －921．
［43］ FANG Y H，HILL S，BA W M，et al． A novel method to solve the inverse kinematics for continuum robots accelerated by PID theory［C］∥12th International Conference on CYBEＲ Technology in Automation，Control，and Intelligent Systems ( CYBEＲ) ． Piscataway: IEEE，2022: 840－844．
［44］ ZHANG B Y，FAN Y W，YANG P H，et al． Worm-like soft robot for complicated tubular environments［J］． Soft Ｒobotics，2019，6( 3) : 399－413．
［45］ PANG W，WANG J B，FEI Y Q． The structure，design， and closed-loop motion control of a differential drive soft robot［J］． Soft Ｒobotics，2018，5( 1) : 71－80．
［46］ SANTINA C D，KATZSCHMANN Ｒ K，BICCHI A，et al． Model-based dynamic feedback control of a planar soft robot: trajectory tracking and interaction with the environment［J］． International Journal of Ｒobotics Ｒesearch， 2020，39( 4) : 490－513．
［47］ LIANG X，HE G P，SU T T，et al． Finite-time observerbased variable impedance control of cable-driven continuum manipulators［J］． IEEE Transactions on HumanMachine Systems，2022，52( 1) : 26－40．
［48］ 海星朔，徐炳辉，任羿，等． 基于改进鸽群优化的机器 人自抗扰 控 制 方 法［J］． 郑 州 大 学 学 报 ( 工 学 版) ， 2019，40( 4) : 20－24，31．
HAI X S，XU B H，ＲEN Y，et al． Ｒobot active disturbance rejection control based on an enhanced pigeoninspired optimization［J］． Journal of Zhengzhou University ( Engineering Science) ，2019，40( 4) : 20－24，31．
［49］ 曾庆山，周亚帅，陶长春，等． 电驱动机械臂的自抗扰 鲁棒哈密顿跟踪控制［J］． 郑州大学学报( 工学版) ， 2022，43( 4) : 1－7，15．
ZENG Q S，ZHOU Y S，TAO C C，et al． Active disturbance rejection robust Hamiltonian tracking control of electrically driven manipulator［J］． Journal of Zhengzhou University ( Engineering Science) ，2022，43( 4) : 1－7，15．
［50］ 朱雨琪，向国菲，马丛俊，等． 基于建模优化的连续体 机器人轨迹跟踪及扰动抑制策略研究［J］． 空间控制 技术与应用，2022，48( 2) : 29－38．
ZHU Y Q，XIANG G F，MA C J，et al． Trajectory tra- 第 3 期 刘艳红，等: 肌腱/绳驱动连续体机器人研究现状与展望 11 cking control and disturbance-rejection strategy for continuum robots with improved modeling method［J］． Aerospace Control and Application，2022，48( 2) : 29－38．
［51］ 邱小璐，蔡志勤，刘忠振，等． 空间连续型机器人自适 应鲁棒容错控制［J］． 计算力学学报，2021，38( 1) : 46－50．
QIU X L，CAI Z Q，LIU Z Z，et al． Adaptive robust fault tolerant control of a space continuum robot［J］． Chinese Journal of Computational Mechanics，2021，38( 1) : 46 －50．
［52］ WATANABE Y，HIGASHIMOＲI M． Synergy-based analytical design of wire-driven continuum manipulators［J］． IEEE Ｒobotics and Automation Letters，2022，7 ( 4) : 9310－9317．
［53］ YU P，TAN N，ZHANG M，et al． Inverse-free tracking control of continuum robots with unknown models based on gradient neural networks［C］∥2022 IEEE 11th Data Driven Control and Learning Systems Conference ( DDCLS) ． Piscataway: IEEE，2022: 648－653．
［54］ TAN N，YU P，ZHANG M，et al． Towards unified adaptive teleoperation based on damping ZNN for robot manipulators with unknown kinematics［J］． IEEE Transactions on Industrial Electronics，2022，PP( 99) : 1－10．
［55］ 李进华，卜逸凡，李晓阳，等． 丝驱动连续体机器人的 无模型自适应控制［J］． 天津大学学报( 自然科学与工 程技术版) ，2022，55( 7) : 754－763．
LI J H，BU Y F，LI X Y，et al． Model-free adaptive control for tendon-driven continuum robots［J］． Journal of Tianjin University ( Science and Technology) ，2022，55 ( 7) : 754－763．
［56］ KAMTIKAＲ S，MAＲＲI S，WALT B，et al． Visual servoing for pose control of soft continuum arm in a structured environment［J］． IEEE Ｒobotics and Automation Letters， 2022，7( 2) : 5504－5511．
［57］ GAO X F，LI X C，SUN Y，et al． Model-free tracking control of continuum manipulators with global stability and assigned accuracy［J］． IEEE Transactions on Systems，Man， and Cybernetics: Systems，2022，52( 2) : 1345－1355．
［58］ YIP M C， CAMAＲILLO D B． Model-less feedback control of continuum manipulators in constrained environments［J］． IEEE Transactions on Ｒobotics，2014，30 ( 4) : 880－889．
［59］ ALOI V，DANG K T，BAＲTH E J，et al． Estimating forces along continuum robots［J］． IEEE Ｒobotics and Automation Letters，2022，7( 4) : 8877－8884．
［60］ ZHAO Q X，LAI J W，HUANG K C，et al． Shape estimation and control of a soft continuum robot under external payloads ［J］． IEEE/ASME Transactions on Mechatronics，2022，27( 5) : 2511－2522．
［61］ TANG Z Q，HEUNG H L，TONG K Y，et al． Modelbased online learning and adaptive control for a“humanwearable soft robot”integrated system［J］． International Journal of Ｒobotics Ｒesearc