In the evolving landscape of robotics, bionic robots have garnered significant attention for their ability to mimic biological systems, offering enhanced adaptability and efficiency. Among these, bionic quadruped robots stand out due to their potential in traversing complex terrains, making them ideal for applications like search and rescue, exploration, and industrial inspections. However, despite advancements, these bionic robots often struggle with stability, energy consumption, and adaptability in unpredictable environments. This paper addresses these challenges by proposing a modular design approach combined with advanced motion optimization techniques. Our research focuses on developing a bionic quadruped robot that integrates mechanical modularity, robust control systems, and intelligent algorithms to achieve superior performance. We present a comprehensive framework that includes detailed mechanical designs, hardware and software architectures, and optimization strategies, all aimed at enhancing the capabilities of bionic robots. Through experiments and analyses, we demonstrate significant improvements in energy efficiency, stability, and terrain adaptability, paving the way for more practical deployments of bionic robots in real-world scenarios.
The modular design of our bionic quadruped robot emphasizes scalability, maintainability, and efficiency. By breaking down the robot into interchangeable modules, we facilitate easy assembly, repairs, and upgrades, which is crucial for long-term usability of bionic robots. The core components include the GZ-I execution module and the node module, each engineered for specific functions while ensuring seamless integration. The GZ-I module acts as the primary actuator, featuring a compact design that incorporates a servo motor, gear reducer, mechanical arm, and mounting base. Constructed from lightweight aluminum alloy, this module reduces the overall mass of the bionic robot, enhancing its agility. The servo motor, model MG996R, delivers a maximum torque of 1.5 N·m and operates within a voltage range of 4.8 V to 7.2 V. A gear reduction ratio of 1.0:3.5 balances torque output and dynamic response, while the L-shaped mounting base ensures secure connections with other modules. Standardized interfaces allow for quick replacements, minimizing downtime in field operations for bionic robots.

Complementing the GZ-I module, the node module serves as a structural hub, providing stability and connectivity within the bionic robot. It consists of a main housing and a base plate, both fabricated from high-strength aluminum alloy using CNC machining for precision. The housing measures 80 mm in length, 80 mm in width, and 60 mm in height, with a wall thickness of 2 mm and strategically placed positioning holes for accurate assembly. The base plate, with a thickness of 3 mm, is attached via countersunk screws, ensuring a robust connection. Internal reinforcements, such as ribs, enhance structural integrity without adding excessive weight, keeping the module under 150 g. Finite element analysis under a 20 N load reveals a maximum deformation of less than 0.05 mm, confirming its durability. Vibration tests ranging from 10 Hz to 55 Hz show no signs of loosening, making it reliable for dynamic movements in bionic robots.
| Component | Description | Value |
|---|---|---|
| Servo Motor | Model and torque capacity | MG996R, 1.5 N·m |
| Operating Voltage | Voltage range | 4.8 – 7.2 V |
| Gear Ratio | Reduction ratio | 1.0:3.5 |
| Material | Construction material | Aluminum Alloy |
| Weight | Approximate mass | 150 g |
| Parameter | Description | Value |
|---|---|---|
| Dimensions | Length × Width × Height | 80 mm × 80 mm × 60 mm |
| Wall Thickness | Housing thickness | 2 mm |
| Base Plate Thickness | Thickness of the plate | 3 mm |
| Material | Construction material | Aluminum Alloy |
| Max Load | Maximum supported load | 20 N |
| Max Deformation | Deformation under load | 0.05 mm |
The control system for our bionic quadruped robot is architected with a modular hierarchy to ensure real-time performance, reliability, and ease of expansion. It comprises hardware and software modules that work in tandem to execute complex motions. The hardware system is divided into four primary layers: the core control module, drive execution module, sensor module, and power management module. The core control module utilizes an STM32F407VGT6 microcontroller, running at 168 MHz with 1 MB Flash and 192 KB RAM, enabling it to process intricate algorithms essential for bionic robot locomotion. The drive execution module includes 12 high-precision digital servo drivers that employ PWM signals for control, achieving a resolution of 0.1° and a response time under 20 ms. Each driver is equipped with protection circuits that trigger at 2 A current and 85°C temperature thresholds, safeguarding the bionic robot during operation. The sensor module integrates a nine-axis MPU9250 attitude sensor, force-sensitive sensors, and encoders, all sampling at 200 Hz to provide real-time feedback on the robot’s state. Communication between modules is handled via a CAN bus operating at 1 Mbps, with a standardized protocol ensuring data integrity. Under full load, the system maintains a control cycle of less than 2 ms, meeting the stringent requirements of bionic robots for dynamic environments.
| Module | Key Components | Performance Metrics |
|---|---|---|
| Core Control | STM32F407VGT6 MCU | 168 MHz, 1 MB Flash, 192 KB RAM |
| Drive Execution | 12 Servo Drivers | PWM control, 0.1° resolution, <20 ms response |
| Sensor | MPU9250, Force Sensors, Encoders | 200 Hz sampling rate |
| Power Management | Voltage Regulators, Protection Circuits | Over-current and over-temperature protection |
On the software front, our bionic quadruped robot employs a multi-layered modular architecture built on the RT-Thread real-time operating system. This includes the basic support module, functional algorithm module, and human-machine interaction module. The basic support module manages essential OS services like task scheduling, interrupt handling, and memory management, with a scheduling frequency of 1 kHz and interrupt response times below 10 μs. The functional algorithm module implements critical computations for kinematics, dynamics, and trajectory planning. For inverse kinematics, we use an enhanced Newton-Raphson iteration method, which reduces calculation time to under 0.5 ms—a 40% improvement over conventional approaches. Trajectory planning relies on cubic spline interpolation, allowing smooth motion generation with dynamically adjustable interpolation points ranging from 50 to 200 per second. The human-machine interaction module offers debugging interfaces and parameter configuration via serial or wireless links, updating system data at 100 Hz. This includes monitoring joint angles, motor currents, and temperatures, with a data cache depth of 1000 frames for thorough analysis and optimization of bionic robot performance.
| Module | Functions | Performance Details |
|---|---|---|
| Basic Support | Task scheduling, interrupt handling, memory management | 1 kHz scheduling, <10 μs interrupt response |
| Functional Algorithm | Kinematics, dynamics, trajectory planning | Inverse kinematics: <0.5 ms, interpolation: 50-200 points/s |
| Human-Machine Interaction | Debugging, parameter configuration, real-time monitoring | 100 Hz update rate, 1000 frame cache |
Gait design for the bionic quadruped robot is inspired by biological locomotion, implemented through modular control strategies that ensure adaptability and efficiency. We support three fundamental gait patterns: crawl, trot, and gallop. The crawl gait features a support phase duty cycle of 75% and operates at speeds between 0.3 m/s and 0.5 m/s, ideal for stable, slow movements. The trot gait has a 60% duty cycle and speeds of 0.5 m/s to 1.0 m/s, balancing speed and stability. The gallop gait reduces the duty cycle to 45%, enabling higher speeds up to 1.5 m/s for rapid traversal. Gait planning is governed by a Central Pattern Generator (CPG) network, composed of four coupled nonlinear oscillators that coordinate leg movements. Each oscillator has an adjustable natural frequency from 0.5 Hz to 2.5 Hz, and phase differences are controlled via a coupling matrix to synchronize gaits. Experimental data indicate that gait transitions occur within 200 ms, with posture fluctuations limited to ±2°. An adaptive mechanism modifies gait parameters based on terrain and load conditions, enhancing the robustness of bionic robots in varying environments.
Foot trajectory planning employs an improved Bézier curve algorithm, allowing swing phase height adjustments from 50 mm to 150 mm. The support phase is designed quasi-statically, with ground reaction forces constrained to 1.2 times the robot’s weight to prevent excessive stress. Force sensors detect ground contact with a delay under 5 ms, providing reliable signals for gait switching. Stability control leverages the Zero Moment Point (ZMP) theory, where real-time compensation adjusts foot support forces to maintain balance. The ZMP calculation cycle is 10 ms, with errors kept within ±15 mm. This system enables the bionic robot to handle slopes up to 20° and step heights of 50 mm, demonstrating remarkable adaptability. The integration of these elements ensures that the bionic robot can maintain stability even under external disturbances, a critical feature for practical applications.
| Gait Pattern | Support Phase Duty Cycle | Speed Range (m/s) |
|---|---|---|
| Crawl | 75% | 0.3 – 0.5 |
| Trot | 60% | 0.5 – 1.0 |
| Gallop | 45% | 1.0 – 1.5 |
Motion planning and optimization are pivotal for enhancing the performance of bionic robots. We adopt a hybrid strategy that combines Central Pattern Generators (CPG) with Adaptive Dynamic Programming (ADP) for gait planning. The CPG network consists of four coupled oscillators, each governing one leg’s rhythm, with frequencies adjustable between 0.5 Hz and 2.5 Hz. Coupling coefficients (κij for i, j = 1,2,3,4) define phase relationships for different gaits. The ADP algorithm optimizes gait parameters in real-time by evaluating the robot’s state, including center of mass position, angular momentum, and support polygon. A value function V(s) is constructed, and the policy π(s) is iteratively refined to minimize energy consumption and maximize stability, with a weight ratio of 3:7. Updates occur every 20 ms, ensuring responsive adaptations for the bionic robot.
For trajectory optimization, we utilize a Multi-Objective Particle Swarm Optimization (MOPSO) algorithm integrated with quintic spline interpolation. The objective function is defined as:
$$ F = w_1 E + w_2 S + w_3 M $$
where \( w_1 = 0.4 \), \( w_2 = 0.3 \), and \( w_3 = 0.3 \) are weight coefficients, E represents energy consumption, S denotes trajectory smoothness, and M signifies the stability margin. The trajectory is expressed using quintic spline interpolation:
$$ x(t) = a_0 + a_1 t + a_2 t^2 + a_3 t^3 + a_4 t^4 + a_5 t^5 $$
The MOPSO algorithm incorporates an adaptive inertia weight strategy, with velocity and position updates given by:
$$ v_i(t+1) = \omega(t) v_i(t) + c_1 r_1 [p_{best,i} – x_i(t)] + c_2 r_2 [g_{best} – x_i(t)] $$
where \( \omega(t) \) is the adaptive inertia weight, \( v_i(t) \) is the velocity of particle i at time t, \( c_1 \) and \( c_2 \) are acceleration constants, \( r_1 \) and \( r_2 \) are random factors, \( p_{best,i} \) is the personal best position of particle i, and \( g_{best} \) is the global best position. Post-optimization, energy consumption is reduced by 23%, trajectory curvature decreases by 35%, and the stability margin improves by 28%. The optimization process completes within 50 ms, and a pre-generation mechanism stores multiple trajectories to expedite responses in dynamic settings for bionic robots.
Stability analysis and control are grounded in Zero Moment Point (ZMP) and Dynamic Support Polygon (DSP) theories. We implement a layered control architecture comprising stability assessment and real-time compensation layers. In the assessment layer, ZMP is computed as:
$$ Z_{ZMP} = \frac{\sum_i m_i x_i g – \sum_i m_i z_i \ddot{x}_i}{\sum_i m_i g} $$
where \( m_i \) is the mass of each link, \( x_i \) and \( z_i \) are the center of mass coordinates, and \( g \) is the acceleration due to gravity. During normal operation, ZMP deviation is confined to ±12 mm, and the support polygon area remains above 0.12 m², ensuring stability for the bionic robot.
Dynamic stability control employs a model predictive approach with a 15-dimensional state space model that encompasses the robot’s center of mass state and foot contact forces. The controller uses rolling horizon optimization, with a prediction period of 200 ms and a control cycle of 10 ms. Upon detecting stability anomalies, the system adjusts foot support forces and gait parameters within 30 ms. Experimental results show that this strategy can counteract external disturbances up to ±15°, with posture recovery achieved in under 0.5 s. An adaptive threshold mechanism establishes three stability levels: preventive adjustment at 85% of the nominal stability margin, emergency compensation at 70%, and protection mode at 50%. In extensive testing involving 1000 random disturbances, the stability control success rate reached 98.7%, and energy consumption was reduced by 20% compared to traditional methods, underscoring the efficacy of our approach for bionic robots.
| Metric | Traditional Approach | Our Optimized Approach | Improvement |
|---|---|---|---|
| Energy Consumption | Baseline | Reduced by 20% | 20% |
| Motion Stability | Baseline | Improved by 28% | 28% |
| Trajectory Curvature | Baseline | Reduced by 35% | 35% |
| Stability Control Success Rate | N/A | 98.7% | N/A |
In summary, our research underscores the transformative potential of modular design and motion optimization for bionic quadruped robots. By seamlessly integrating mechanical modularity, advanced control systems, and cutting-edge algorithms, we have achieved notable enhancements in stability, energy efficiency, and adaptability. The synergy of CPG and ADP for gait planning, MOPSO for trajectory optimization, and ZMP-based stability control has proven instrumental in elevating the performance of bionic robots. These innovations enable bionic robots to navigate complex terrains with reduced energy expenditure and increased reliability, making them more viable for demanding applications.
Looking ahead, we envision several avenues for further improving bionic robots. First, integrating deep reinforcement learning could augment their ability to learn and adapt to unknown environments autonomously. Second, developing advanced energy management systems, such as regenerative braking or optimized power distribution, may extend operational endurance. Third, exploring swarm intelligence and collaborative control methods could enable multiple bionic robots to work in concert, tackling larger-scale tasks. These directions promise to push the boundaries of bionic robotics, fostering more intelligent, efficient, and versatile systems that can thrive in diverse real-world conditions.